Symbolic circuit analysis - Revision history

en>Pierre5018: /* References */ sfg

2015-01-02T13:25:14Z

References: sfg

← Older revision		Revision as of 15:25, 2 January 2015
Line 1:		Line 1:
	~~{{refimprove\|date=December 2012}}~~
	In a [[nozzle]] or other constriction, the '''discharge coefficient''' (also known as '''coefficient of discharge''') is the ratio of the actual discharge to the theoretical discharge,<ref>Sam Mannan, Frank P. Lee, ''Lee's Loss Prevention in the Process Industries: Hazard Identification, Assessment and Control'', Volume 1, Elsevier Butterworth Heinemann, 2005. ISBN 978-0750678575. [http://books.google.ca/books?id=UDAwZQO8ZGUC&pg=SA15-PA7&lpg=SA15-PA7&dq=define:coefficient+of+discharge&source=bl&ots=2mXq9FXJUT&sig=x_YGCLqbpRbmPNy9iwSUvXjDhRs&hl=en&sa=X&ei=XcUqUIqPJeeO6gHJ8oDoBw&redir_esc=y#v=onepage&q=define%3Acoefficient%20of%20discharge&f=false (Google books)]</ref> i.e., the ratio of the [[mass flow rate]] at the discharge end of the [[nozzle]] to that of an ideal nozzle which expands an identical [[working fluid]] from the same initial conditions to the same exit pressures.<br/>
	~~<br/>~~
	Mathematically the discharge coefficient may be related to the mass flow rate of a fluid through a straight tube of constant cross-sectional area through the following equation:<ref>Frank M. White, ''Fluid Mechanics, 7th Edition''</ref><ref>http://www.isa.org/books/Mulley_Papers/compressible.html</ref>

	~~<math>C_d A = \dfrac{\dot{m}}{\sqrt{{2}{g_c}{\rho}{\Delta} {P}}}</math>~~

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	~~<math>C_d</math> = Discharge Coefficient~~ through ~~the constriction (unit-less)~~.~~<br/>~~
	~~<math>A</math> = Cross~~-~~sectional area~~ of ~~flow constriction (unit length squared)~~.~~<br/>~~
	~~<math>\dot{m}</math> = Mass flow rate~~ of ~~fluid through constriction (unit mass~~ of ~~fluid per unit time)~~.<br/>
	<~~math~~>~~{g_c}<~~/~~math> = Gravitational constant (Dimensionless)<br~~/>
	~~<math>\rho<~~/~~math> = Density~~ of ~~fluid (unit mass per unit volume)~~.~~<br/>~~
	~~<math>\Delta P</math> = Pressure drop across constriction (unit force per unit area)~~.<br/>
	<br/>
	This ~~parameter is useful for determining~~ the ~~irrecoverable losses associated~~ with a ~~certain piece of equipment (constriction) in a fluid~~ system, ~~or the "resistance"~~ that ~~piece of equipment imposes upon~~ the ~~flow~~.

	~~This flow resistance~~, ~~often expressed as~~ a ~~unit~~-~~less parameter~~, <~~math~~>k<~~/math~~>, is ~~related~~ to ~~the discharge coefficient through the equation~~:

	~~<math>k = \dfrac{1}{C_d^{2}}</math>~~

	~~which may be obtained by substituting <math>\Delta P</math>~~ in ~~the aforementioned equation~~ with the ~~resistance,~~ <~~math~~>k<~~/math~~>, ~~multiplied by the [[dynamic pressure]]~~ of the ~~fluid, <math>q</math>~~.

	~~== See also ==~~
	* [[Flow coefficient]]
	* [[Orifice plate]]

	~~==References==~~
	~~{{reflist}}~~

	~~==External links ==~~
	* [http://mysite.du.~~edu/~jcalvert/tech/fluids/orifice.htm Coefficient of Discharge]~~, J. B. ~~Calvert, 15 June 2003~~

	~~[[Category:Fluid dynamics]]~~


	~~{{fluiddynamics-stub}}~~

en>Beniek: A reference to STAINS was added.

2013-11-30T00:45:15Z

A reference to STAINS was added.

← Older revision		Revision as of 02:45, 30 November 2013
Line 1:		Line 1:
			{{refimprove\|date=December 2012}}
			In a [[nozzle]] or other constriction, the '''discharge coefficient''' (also known as '''coefficient of discharge''') is the ratio of the actual discharge to the theoretical discharge,<ref>Sam Mannan, Frank P. Lee, ''Lee's Loss Prevention in the Process Industries: Hazard Identification, Assessment and Control'', Volume 1, Elsevier Butterworth Heinemann, 2005. ISBN 978-0750678575. [http://books.google.ca/books?id=UDAwZQO8ZGUC&pg=SA15-PA7&lpg=SA15-PA7&dq=define:coefficient+of+discharge&source=bl&ots=2mXq9FXJUT&sig=x_YGCLqbpRbmPNy9iwSUvXjDhRs&hl=en&sa=X&ei=XcUqUIqPJeeO6gHJ8oDoBw&redir_esc=y#v=onepage&q=define%3Acoefficient%20of%20discharge&f=false (Google books)]</ref> i.e., the ratio of the [[mass flow rate]] at the discharge end of the [[nozzle]] to that of an ideal nozzle which expands an identical [[working fluid]] from the same initial conditions to the same exit pressures.<br/>
			<br/>
			Mathematically the discharge coefficient may be related to the mass flow rate of a fluid through a straight tube of constant cross-sectional area through the following equation:<ref>Frank M. White, ''Fluid Mechanics, 7th Edition''</ref><ref>http://www.isa.org/books/Mulley_Papers/compressible.html</ref>

			<math>C_d A = \dfrac{\dot{m}}{\sqrt{{2}{g_c}{\rho}{\Delta} {P}}}</math>

	~~If an existing Word~~ - ~~Press code is found vulnerable, Word - Press will immediately issue an update for that~~. ~~Offshore expert Word~~ - ~~Press developers high level~~ of ~~interactivity, accessibility, functionality and usability~~ of our website can add custom online to using. SEO Ultimate - I think this plugin deserves more recognition than it's gotten up till now. They found out all the possible information about bringing up your baby and save money at the same time. The number of ~~options offered here is overwhelming, but once I took the~~ time ~~to begin to review the video training, I was amazed at how easy it was to create a squeeze page and a membership site~~. <br><br>Thus, it is imperative that you must Hire Word - Press Developers who have the expertise and proficiency in delivering theme integration and customization services. Infertility can cause a major setback to the couples due to the inability to conceive. Which is perfect for building a mobile site for business use. You can up your site's rank with the search engines by simply taking a bit of ~~time with your site~~. ~~For a Wordpress website, you don't need a powerful web hosting account to host your site~~. <br><br>~~Here are~~ a ~~few reasons as to why people prefer Word - Press over other software's. Now if we talk about them one by one then -wordpress blog customization means customization~~ of ~~your blog such as installation~~ of ~~wordpress on your server by wordpress developer which will help you to acquire~~ the ~~SEO friendly blog application integrated with your site design as well~~ as ~~separate blog administration panel for starting up your own business blog,which demands~~ a ~~experienced wordpress designer. Possibly the most downloaded Word~~ - ~~Press plugin~~, the Google XML Sitemaps plugin but not only automatically creates a site map linking to everyone your pages and posts, it also notifies Google, Bing, Yahoo, and Ask. Our skilled expertise, skillfulness and excellence have been well known all across the ~~world. Article Source~~: ~~Stevens works in Internet and Network Marketing.~~ <br><br>~~Word - Press installation is very easy and hassle free. php file~~ in the ~~Word - Press root folder and look for this line (line 73 in our example):. Normally~~, the ~~Word - Press developers make a thorough research on your website goals and then ingrain~~ the ~~most suitable graphical design elements to your website~~. ~~If you have any kind of concerns relating to where and how to use~~ [http://s.~~do-dance~~.~~com~~/~~backupplugin617966 wordpress backup], you can contact us at the internet site~~. If you just want to share some picture and want to use it as a dairy, that you want to share with your friends and family members, then blogger would be an excellent choice. Word - Press offers constant updated services and products, that too, absolutely free of ~~cost. <br><br>Every single module contains published data and guidelines, usually a lot more than 1 video~~, ~~and when pertinent, incentive links and PDF files to assist you out~~. ~~Automated deal feed integration option to populate your blog with relevant deals~~. ~~As a result~~, it is really crucial to just take aid of some experience when searching for superior quality totally free Word - Press themes, Word - Press Premium Themes for your web site. If this is not possible you still have the choice of the default theme that is Word - ~~Press 3. For your information, it is an open source web content management system.~~		Where:<br/>
			<math>C_d</math> = Discharge Coefficient through the constriction (unit-less).<br/>
			<math>A</math> = Cross-sectional area of flow constriction (unit length squared).<br/>
			<math>\dot{m}</math> = Mass flow rate of fluid through constriction (unit mass of fluid per unit time).<br/>
			<math>{g_c}</math> = Gravitational constant (Dimensionless)<br/>
			<math>\rho</math> = Density of fluid (unit mass per unit volume).<br/>
			<math>\Delta P</math> = Pressure drop across constriction (unit force per unit area).<br/>
			<br/>
			This parameter is useful for determining the irrecoverable losses associated with a certain piece of equipment (constriction) in a fluid system, or the "resistance" that piece of equipment imposes upon the flow.

			This flow resistance, often expressed as a unit-less parameter, <math>k</math>, is related to the discharge coefficient through the equation:

			<math>k = \dfrac{1}{C_d^{2}}</math>

			which may be obtained by substituting <math>\Delta P</math> in the aforementioned equation with the resistance, <math>k</math>, multiplied by the [[dynamic pressure]] of the fluid, <math>q</math>.

			== See also ==
			* [[Flow coefficient]]
			* [[Orifice plate]]

			==References==
			{{reflist}}

			==External links ==
			* [http://mysite.du.edu/~jcalvert/tech/fluids/orifice.htm Coefficient of Discharge], J. B. Calvert, 15 June 2003

			[[Category:Fluid dynamics]]


			{{fluiddynamics-stub}}

en>Spinningspark: Reverted 1 edit by 59.164.73.141 (talk) identified as vandalism to last revision by Spinningspark. (TW)

2011-08-26T19:29:06Z

Reverted 1 edit by 59.164.73.141 (talk) identified as vandalism to last revision by Spinningspark. (TW)

New page

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