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The '''Hazen–Williams equation''' is an [[empirical relationship]] which relates the flow of water in a pipe with the physical properties of the pipe and the pressure drop caused by friction. It is used in the design of [[water pipe]] systems<ref>{{Cite web|url=http://docs.bentley.com/en/HMFlowMaster/FlowMasterHelp-06-05.html |title=Hazen–Williams Formula |accessdate=2008-12-06}}</ref> such as [[fire sprinkler system]]s,<ref>{{Cite web|url=http://www.canutesoft.com/index.php/Basic-Hydraulics-for-fire-protection-engineers/Hazen-Williams-formula-for-use-in-fire-sprinkler-systems.html|title=Hazen–Williams equation in fire protection systems|date=27 January 2009|publisher=Canute LLP|accessdate=2009-01-27}} {{Dead link|date=October 2010|bot=H3llBot}}</ref> [[water supply network]]s, and [[irrigation]] systems. It is named after [[Allen Hazen]] and Gardner Stewart Williams. | |||
The Hazen–Williams equation has the advantage that the coefficient ''C'' is not a function of the [[Reynolds number]], but it has the disadvantage that it is only valid for [[water]]. Also, it does not account for the temperature or [[viscosity]] of the water.<ref>{{Cite book|last=Brater|first=Errest|coauthors=King Horace|others=Lindell E. James|title=Handbook of Hydraulics|publisher=Mc Graw Hill|location=New York|year=1996|edition=Seventh Edition|pages=6.29|chapter=6|isbn=0-07-007247-7}}</ref> | |||
==General form== | |||
[[Henri Pitot]] discovered that the velocity of a fluid was proportional to the square root of its head in the early 18th century. It takes energy to push a fluid through a pipe, and [[Antoine de Chézy]] discovered that the head loss was proportional to the velocity squared.<ref>{{Citation |last=Walski |first=Thomas M. |title=A history of water distribution |journal=Journal of the American Water Works Association |publisher=American Water Works Association |volume=98 |issue=3 |pages=110–121 |date=March 2006 |doi= }}, p. 112.</ref> Consequently, the [[Chézy formula]] relates hydraulic slope ''S'' (head loss per unit length) to the fluid velocity ''V'' and [[hydraulic radius]] ''R'': | |||
:<math>V=C\sqrt{RS}=C\, R^{0.5}\, S^{0.5}</math> | |||
The variable ''C'' expresses the proportionality, but the value of ''C'' is not a constant. In 1838 and 1839, [[Gotthilf Hagen]] and [[Jean Léonard Marie Poiseuille]] independently determined a head loss equation for [[laminar flow]], the [[Hagen–Poiseuille equation]]. Around 1845, [[Julius Weisbach]] and [[Henry Darcy]] developed the [[Darcy–Weisbach equation]].<ref>{{Harvnb|Walski|2006|p=112}}</ref> | |||
The Darcy-Weisbach equation was difficult to use because the friction factor was difficult to estimate.<ref>{{Harvnb|Walski|2006|p=113}}</ref> In 1906, Hazen and Williams provided an [[empirical relationship|empirical formula]] that was easy to use. The general form of the equation relates the mean velocity of water in a pipe with the geometric properties of the pipe and slope of the energy line. | |||
:<math>V = k\, C\, R^{0.63}\, S^{0.54}</math> | |||
where: | |||
* ''V'' is velocity | |||
* ''k'' is a conversion factor for the unit system (k = 1.318 for US customary units, k = 0.849 for SI units) | |||
* ''C'' is a roughness coefficient | |||
* ''R'' is the [[hydraulic radius]] | |||
* ''S'' is the slope of the energy line ([[head loss]] per length of pipe or h<sub>f</sub>/L) | |||
The equation is similar to the Chézy formula but the exponents have been adjusted to better fit data from typical engineering situations. A result of adjusting the exponents is that the value of ''C'' appears more like a constant over a wide range of the other parameters.<ref>{{Harvnb|Williams|Hazen|1914|p=1}}, stating "Exponents can be selected, however, representing approximate average conditions, so that the value of ''c'' for a given condition of surface will vary so little as to be practically constant."</ref> | |||
The conversion factor ''k'' was chosen so that the values for ''C'' were the same as in the Chézy formula for the typical hydraulic slope of ''S''=0.001.<ref>{{harvnb|Williams|Hazen|1914|p=1}}</ref> The value of ''k'' is 0.001<sup>-0.04</sup>.<ref>{{harvnb|Williams|Hazen|1914|pp=1–2}}</ref> | |||
Typical ''C'' factors used in design, which take into account some increase in roughness as pipe ages are as follows:<ref name="ET">{{Citation |url=http://www.engineeringtoolbox.com/hazen-williams-coefficients-d_798.html |title=Hazen-Williams Coefficients |publisher=Engineering ToolBox |accessdate=7 October 2012 |doi= }}</ref> | |||
{| class="wikitable sortable" | |||
|- | |||
! Material !! C Factor low !! C Factor high !! Reference | |||
|- | |||
| [[Eternit|Asbestos-cement]] || 140 || 140 || - | |||
|- | |||
| [[Cast iron]] new || 130 || 130 || <ref name="ET"/> | |||
|- | |||
| [[Cast iron]] 10 years || 107 || 113 || <ref name="ET"/> | |||
|- | |||
| [[Cast iron]] 20 years || 89|| 100 || <ref name="ET"/> | |||
|- | |||
| [[Cast iron]] 30 years || 75 || 90 || <ref name="ET"/> | |||
|- | |||
| [[Cast iron]] 40 years || 64 || 83 || <ref name="ET"/> | |||
|- | |||
| [[Cement-Mortar Lined Ductile Iron Pipe]] || 140 || 140 || - | |||
|- | |||
| [[Concrete]] || 100 || 140 || <ref name="ET"/> | |||
|- | |||
| [[Copper]] || 130 || 140 || <ref name="ET"/> | |||
|- | |||
| [[Steel]] || 90 || 110 || - | |||
|- | |||
| [[Galvanized iron]] || 120 || 120 || <ref name="ET"/> | |||
|- | |||
| [[Polyethylene]] || 140 || 140 || <ref name="ET"/> | |||
|- | |||
| [[Polyvinyl chloride]] (PVC) || 150 || 150 || <ref name="ET"/> | |||
|- | |||
| [[Fibre-reinforced plastic]] (FRP) || 150 || 150 || <ref name="ET"/> | |||
|} | |||
==Pipe equation== | |||
The general form can be specialized for full pipe flows. Taking the general form | |||
:<math>V = k\, C\, R^{0.63}\, S^{0.54}</math> | |||
and exponentiating each side by <math>1/0.54</math> gives (rounding exponents to 2 decimals) | |||
:<math>V^{1.85} = k^{1.85}\, C^{1.85}\, R^{1.17}\, S</math> | |||
Rearranging gives | |||
:<math>S = {V^{1.85} \over k^{1.85}\, C^{1.85}\, R^{1.17}} </math> | |||
The flow rate ''Q'' = ''V'' ''A'', so | |||
:<math>S = {V^{1.85} A^{1.85}\over k^{1.85}\, C^{1.85}\, R^{1.17}\, A^{1.85}} = {Q^{1.85}\over k^{1.85}\, C^{1.85}\, R^{1.17}\, A^{1.85}} </math> | |||
The [[hydraulic radius]] ''R'' (which is different from the geometric radius ''r'') for a full pipe of geometric diameter ''d'' is ''d''/4; the pipe's cross sectional area ''A'' is <math>\pi d^2 / 4</math>, so | |||
:<math>S = {4^{1.17}\, 4^{1.85}\,Q^{1.85}\over \pi^{1.85}\,k^{1.85}\, C^{1.85}\, d^{1.17}\, d^{3.70}} | |||
= {4^{3.02}\,Q^{1.85}\over \pi^{1.85}\,k^{1.85}\, C^{1.85}\, d^{4.87}} | |||
= { 4^{3.02} \over \pi^{1.85}\,k^{1.85}} {Q^{1.85}\over C^{1.85}\, d^{4.87}} | |||
= { 7.916 \over k^{1.85}} {Q^{1.85}\over C^{1.85}\, d^{4.87}} | |||
</math> | |||
===U.S. customary units (Imperial)=== | |||
<!-- rho g h_f = P_d; find refs that use h_f (Mays?) and P_d (NFPA) forms --> | |||
When used to calculate the pressure drop using the [[US customary units]] system, the equation is:<ref>2007 version of NFPA 13: Standard for the Installation of Sprinkler Systems, page 13-213, eqn 22.4.2.1</ref> | |||
:<math>S_{\mathrm{psi\ per\ foot}} = \frac{P_d}{L} = \frac{4.52\ Q^{1.85}}{C^{1.85}\ d^{4.87}}</math> | |||
where: | |||
*''S''<sub>psi per foot</sub> = frictional resistance (pressure drop per foot of pipe) in psig/ft ([[Pound-force per square inch|pounds per square inch gauge pressure]] per foot) | |||
*''P<sub>d</sub> = pressure drop over the length of pipe in psig ([[Pound-force per square inch|pounds per square inch gauge pressure]]) | |||
*''L'' = length of pipe in feet | |||
*''Q'' = flow, gpm ([[gallons per minute]]) | |||
*''C'' = pipe roughness coefficient | |||
*''d'' = inside pipe diameter, in (inches) | |||
:<small>'''Note:''' Caution with U S Customary Units is advised. The equation for head loss in pipes, also referred to as slope, S, expressed in "feet per foot of length" vs. in 'psi per foot of length' as described above, with the inside pipe diameter, d, being entered in feet vs. inches, and the flow rate, Q, being entered in cubic feet per second, cfs, vs. gallons per minute, gpm, appears very similar. However, the constant is 4.75 vs. the 4.52 constant as shown above in the formula as arranged by NFPA for sprinkler system design. The exponents and the Hazen-Williams "C" values are unchanged.</small> | |||
===SI units=== | |||
When used to calculate the head loss with the [[International System of Units]], the equation becomes:<ref name="urlrpitt.eng.ua.edu">{{Cite web|url=http://rpitt.eng.ua.edu/Class/Water%20Resources%20Engineering/M3e%20Comparison%20of%20methods.pdf |title=Comparison of Pipe Flow Equations and Head Losses in Fittings |format=PDF |accessdate=2008-12-06}}</ref> | |||
:<math>S = \frac{h_f}{L} = \frac{10.67\ Q^{1.85}}{C^{1.85}\ d^{4.87}}</math> | |||
where: | |||
* ''S'' = Hydraulic slope | |||
* h<sub>f</sub> = [[Hydraulic head#Head_loss|head loss]] in meters (water) over the length of pipe | |||
* ''L'' = length of pipe in meters | |||
* ''Q'' = volumetric flow rate, m<sup>3</sup>/s (cubic meters per second) | |||
* ''C'' = pipe roughness coefficient | |||
* ''d'' = inside pipe diameter, m (meters) | |||
:<small>Note: pressure drop can be computed from head loss as ''h<sub>f</sub>'' × the unit weight of water (e.g., 9810 N/m<sup>3</sup> at 4 deg C)</small> | |||
==See also== | |||
*[[Fluid dynamics]] | |||
*[[Friction]] | |||
*[[Pressure]] | |||
*[[Prony equation]] | |||
*[[Volumetric flow rate]] | |||
*[[Water pipe]] | |||
==References== | |||
{{reflist|30em}} | |||
*{{Citation | |||
|last= Finnemore | |||
|first= E. John | |||
|last2= Franzini | |||
|first2= Joseph B. | |||
|title= Fluid Mechanics | |||
|edition= 10th | |||
|year= 2002 | |||
|publisher= McGraw Hill | |||
|isbn= | |||
|doi=}} | |||
*{{Citation | |||
|last= Mays | |||
|first= Larry W. | |||
|title= Hydraulic Design Handbook | |||
|year= 1999 | |||
|publisher= McGraw Hill | |||
|isbn= | |||
|doi=}} | |||
*{{Citation | |||
|last= Watkins | |||
|first= James A. | |||
|title= Turf Irrigation Manual | |||
|edition= 5th | |||
|year= 1987 | |||
|publisher= Telsco | |||
|isbn= | |||
|doi=}} | |||
* {{Citation | |||
|last2= Hazen | |||
|first2= Allen | |||
|author-link= | |||
|last1= Williams | |||
|first1= Gardner Stewart | |||
|author2-link= | |||
|title= Hydraulic tables: showing the loss of head due to the friction of water flowing in pipes, aqueducts, sewers, etc. and the discharge over weirs | |||
|edition=first | |||
|year=1905 | |||
|location= New York | |||
|publisher= John Wiley and Sons | |||
|url=http://books.google.com/books?id=dE9DAAAAIAAJ&printsec=frontcover&hl=en&sa=X&ved=0CF0Q6AEwAg#v=onepage&f=false | |||
|doi=}} | |||
*[http://catalog.hathitrust.org/Record/005745859 Williams and Hazen, Second edition, 1909]<!-- 1st 1905, 2nd 1908 --> | |||
* {{Citation | |||
|last2= Hazen | |||
|first2= Allen | |||
|author-link= | |||
|last1= Williams | |||
|first1= Gardner Stewart | |||
|author2-link= | |||
|title= Hydraulic tables: the elements of gagings and the friction of water flowing in pipes, aqueducts, sewers, etc., as determined by the Hazen and Williams formula and the flow of water over sharp-edged and irregular weirs, and the quantity discharged as determined by Bazin's formula and experimental investigations upon large models. | |||
|edition= 2nd revised and enlarged | |||
|year=1914 | |||
|location= New York | |||
|publisher= John Wiley and Sons | |||
|isbn= |oclc= |url=http://books.google.com/books?id=7m4gAAAAMAAJ&pg=PR1&lpg=PR1&source=bl&ots=DUCACHZeQU&hl=en&sa=X&ved=0CD8Q6AEwAg | |||
|doi=}} | |||
* {{Citation | |||
|last2= Hazen | |||
|first2= Allen | |||
|author-link= | |||
|last1= Williams | |||
|first1= Gardner Stewart | |||
|author2-link= | |||
|title= Hydraulic tables: the elements of gagings and the friction of water flowing in pipes, aqueducts, sewers, etc., as determined by the Hazen and Williams formula and the flow of water over sharp-edged and irregular weirs, and the quantity discharged as determined by Bazin's formula and experimental investigations upon large models. | |||
|edition= 3rd | |||
|year=1920 | |||
|location= New York | |||
|publisher= John Wiley and Sons | |||
|isbn= |oclc=1981183 | |||
|doi=}} | |||
==External links== | |||
*[http://www.engineeringtoolbox.com/hazen-williams-water-d_797.html Engineering Toolbox reference] | |||
*[http://www.engineeringtoolbox.com/hazen-williams-coefficients-d_798.html Engineering toolbox Hazen–Williams coefficients] | |||
*[http://www.calctool.org/CALC/eng/civil/hazen-williams_g Online Hazen–Williams calculator for gravity-fed pipes.] | |||
*[http://www.calctool.org/CALC/eng/civil/hazen-williams_p Online Hazen–Williams calculator for pressurized pipes.] | |||
*http://books.google.com/books?id=DxoMAQAAIAAJ&pg=PA736&hl=en&sa=X&ved=0CEsQ6AEwAA#v=onepage&f=false | |||
*http://books.google.com/books?id=RAMX5xuXSrUC&pg=PA145&lpg=PA145&source=bl&ots=RucWGKXVYx&hl=en&sa=X&ved=0CDkQ6AEwAjgU States pocket calculators and computers make calculations easier. H-W is good for smooth pipes, but Manning better for rough pipes (compared to D-W model). | |||
{{Use dmy dates|date=September 2010}} | |||
{{DEFAULTSORT:Hazen-Williams Equation}} | |||
[[Category:Equations of fluid dynamics]] | |||
[[Category:Piping]] | |||
[[Category:Plumbing]] | |||
[[Category:Hydraulics]] | |||
[[Category:Irrigation]] |
Revision as of 03:41, 12 November 2013
The Hazen–Williams equation is an empirical relationship which relates the flow of water in a pipe with the physical properties of the pipe and the pressure drop caused by friction. It is used in the design of water pipe systems[1] such as fire sprinkler systems,[2] water supply networks, and irrigation systems. It is named after Allen Hazen and Gardner Stewart Williams.
The Hazen–Williams equation has the advantage that the coefficient C is not a function of the Reynolds number, but it has the disadvantage that it is only valid for water. Also, it does not account for the temperature or viscosity of the water.[3]
General form
Henri Pitot discovered that the velocity of a fluid was proportional to the square root of its head in the early 18th century. It takes energy to push a fluid through a pipe, and Antoine de Chézy discovered that the head loss was proportional to the velocity squared.[4] Consequently, the Chézy formula relates hydraulic slope S (head loss per unit length) to the fluid velocity V and hydraulic radius R:
The variable C expresses the proportionality, but the value of C is not a constant. In 1838 and 1839, Gotthilf Hagen and Jean Léonard Marie Poiseuille independently determined a head loss equation for laminar flow, the Hagen–Poiseuille equation. Around 1845, Julius Weisbach and Henry Darcy developed the Darcy–Weisbach equation.[5]
The Darcy-Weisbach equation was difficult to use because the friction factor was difficult to estimate.[6] In 1906, Hazen and Williams provided an empirical formula that was easy to use. The general form of the equation relates the mean velocity of water in a pipe with the geometric properties of the pipe and slope of the energy line.
where:
- V is velocity
- k is a conversion factor for the unit system (k = 1.318 for US customary units, k = 0.849 for SI units)
- C is a roughness coefficient
- R is the hydraulic radius
- S is the slope of the energy line (head loss per length of pipe or hf/L)
The equation is similar to the Chézy formula but the exponents have been adjusted to better fit data from typical engineering situations. A result of adjusting the exponents is that the value of C appears more like a constant over a wide range of the other parameters.[7]
The conversion factor k was chosen so that the values for C were the same as in the Chézy formula for the typical hydraulic slope of S=0.001.[8] The value of k is 0.001-0.04.[9]
Typical C factors used in design, which take into account some increase in roughness as pipe ages are as follows:[10]
Material | C Factor low | C Factor high | Reference |
---|---|---|---|
Asbestos-cement | 140 | 140 | - |
Cast iron new | 130 | 130 | [10] |
Cast iron 10 years | 107 | 113 | [10] |
Cast iron 20 years | 89 | 100 | [10] |
Cast iron 30 years | 75 | 90 | [10] |
Cast iron 40 years | 64 | 83 | [10] |
Cement-Mortar Lined Ductile Iron Pipe | 140 | 140 | - |
Concrete | 100 | 140 | [10] |
Copper | 130 | 140 | [10] |
Steel | 90 | 110 | - |
Galvanized iron | 120 | 120 | [10] |
Polyethylene | 140 | 140 | [10] |
Polyvinyl chloride (PVC) | 150 | 150 | [10] |
Fibre-reinforced plastic (FRP) | 150 | 150 | [10] |
Pipe equation
The general form can be specialized for full pipe flows. Taking the general form
and exponentiating each side by gives (rounding exponents to 2 decimals)
Rearranging gives
The flow rate Q = V A, so
The hydraulic radius R (which is different from the geometric radius r) for a full pipe of geometric diameter d is d/4; the pipe's cross sectional area A is , so
U.S. customary units (Imperial)
When used to calculate the pressure drop using the US customary units system, the equation is:[11]
where:
- Spsi per foot = frictional resistance (pressure drop per foot of pipe) in psig/ft (pounds per square inch gauge pressure per foot)
- Pd = pressure drop over the length of pipe in psig (pounds per square inch gauge pressure)
- L = length of pipe in feet
- Q = flow, gpm (gallons per minute)
- C = pipe roughness coefficient
- d = inside pipe diameter, in (inches)
- Note: Caution with U S Customary Units is advised. The equation for head loss in pipes, also referred to as slope, S, expressed in "feet per foot of length" vs. in 'psi per foot of length' as described above, with the inside pipe diameter, d, being entered in feet vs. inches, and the flow rate, Q, being entered in cubic feet per second, cfs, vs. gallons per minute, gpm, appears very similar. However, the constant is 4.75 vs. the 4.52 constant as shown above in the formula as arranged by NFPA for sprinkler system design. The exponents and the Hazen-Williams "C" values are unchanged.
SI units
When used to calculate the head loss with the International System of Units, the equation becomes:[12]
where:
- S = Hydraulic slope
- hf = head loss in meters (water) over the length of pipe
- L = length of pipe in meters
- Q = volumetric flow rate, m3/s (cubic meters per second)
- C = pipe roughness coefficient
- d = inside pipe diameter, m (meters)
- Note: pressure drop can be computed from head loss as hf × the unit weight of water (e.g., 9810 N/m3 at 4 deg C)
See also
References
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To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010 - Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010 - Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010 - Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010 - Williams and Hazen, Second edition, 1909
- Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010 - Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
External links
- Engineering Toolbox reference
- Engineering toolbox Hazen–Williams coefficients
- Online Hazen–Williams calculator for gravity-fed pipes.
- Online Hazen–Williams calculator for pressurized pipes.
- http://books.google.com/books?id=DxoMAQAAIAAJ&pg=PA736&hl=en&sa=X&ved=0CEsQ6AEwAA#v=onepage&f=false
- http://books.google.com/books?id=RAMX5xuXSrUC&pg=PA145&lpg=PA145&source=bl&ots=RucWGKXVYx&hl=en&sa=X&ved=0CDkQ6AEwAjgU States pocket calculators and computers make calculations easier. H-W is good for smooth pipes, but Manning better for rough pipes (compared to D-W model).
30 year-old Entertainer or Range Artist Wesley from Drumheller, really loves vehicle, property developers properties for sale in singapore singapore and horse racing. Finds inspiration by traveling to Works of Antoni Gaudí.
- ↑ Template:Cite web
- ↑ Template:Cite web Template:Dead link
- ↑ 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
My blog: http://www.primaboinca.com/view_profile.php?userid=5889534 - ↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010, p. 112. - ↑ Template:Harvnb
- ↑ Template:Harvnb
- ↑ Template:Harvnb, stating "Exponents can be selected, however, representing approximate average conditions, so that the value of c for a given condition of surface will vary so little as to be practically constant."
- ↑ Template:Harvnb
- ↑ Template:Harvnb
- ↑ 10.00 10.01 10.02 10.03 10.04 10.05 10.06 10.07 10.08 10.09 10.10 10.11 Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.
Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.
In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.
Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region
Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.
15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.
To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010 - ↑ 2007 version of NFPA 13: Standard for the Installation of Sprinkler Systems, page 13-213, eqn 22.4.2.1
- ↑ Template:Cite web