Hyperbolic secant distribution: Difference between revisions

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[[File:Splash (fluid mechanics).jpg|thumb|250px|A [[Splash (fluid mechanics)|splash]] after half a [[brick]] hits the water; the image is about half a meter across.  Note the freely moving airborne water droplets, a phenomenon typical of high [[Reynolds number]] flows; the intricate non-spherical shapes of the droplets show that the '''Weber number''' is high.  Also note the entrained bubbles in the body of the water, and an expanding ring of disturbance propagating away from the impact site.]]
== slightly blue skin who shouted. ==


The '''Weber number''' ('''We''') is a [[dimensionless number]] in [[fluid mechanics]] that is often useful in analysing fluid flows where there is an interface between two different fluids, especially for [[multiphase flow]]s with strongly curved surfaces. It can be thought of as a measure of the relative importance of the fluid's [[inertia]] compared to its [[surface tension]]. The quantity is useful in analyzing thin film flows and the formation of droplets and bubbles.
Mechanical camp [http://www.nrcil.net/fancybox/lib/rakuten_LV_76.html ベルト ルイヴィトン] party, Zerg side, the knife river king immediately raise a lot of emphasis, which idiot never go free insulted [http://www.nrcil.net/fancybox/lib/rakuten_LV_69.html ルイヴィトン 日本] Luofeng it.<br><br>......<br><br>Having said that, one can mechanically family camp gathered a group of immortal champion, and has two mechanical clan, being bullied to the head, how could Renxia this tone? Killed one of his comrades, and they said nothing was [http://www.nrcil.net/fancybox/lib/rakuten_LV_47.html ルイヴィトンルイヴィトン] too humiliating.<br><br>'Knife River king! this is what you [http://www.nrcil.net/fancybox/lib/rakuten_LV_34.html ルイヴィトン カバン メンズ] intended?' is surrounded by one of the two mechanical tribe dressed in black [http://www.nrcil.net/fancybox/lib/rakuten_LV_107.html ルイヴィトン アズール バッグ] battle armor, slightly blue skin who shouted.<br><br>Whoosh!<br><br>heavy arrows Luo Feng Wang has to fly back side of the trunk, it is very respectful, no one method can forget the [http://www.nrcil.net/fancybox/lib/rakuten_LV_6.html ルイヴィトン 通販] heavy [http://www.nrcil.net/fancybox/lib/rakuten_LV_40.html 新作ルイヴィトン] arrows ruthless king.<br><br>'mechanical Family immortal!'<br><br>Luo Feng indifference, 'I'm one of your family as well as mechanical Zerg side, no provocation! but that little morning mix king dare insult me! hum ...... really thought I had a group of [http://www.nrcil.net/fancybox/lib/rakuten_LV_94.html ルイヴィトン タイガ 財布] allies, not hands can wantonly insult me? him
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</ul>


It is named after [[Moritz Weber]] (1871&ndash;1951) and may be written as:
== there are three people have left the earth ==
:<math>\mathrm{We} = \frac{\rho\,v^2\,l}{\sigma}</math>


where
Together towards [http://www.nrcil.net/fancybox/lib/rakuten_LV_130.html メンズ ルイヴィトン] the air fleet of the Black Dragon spacecraft that flew.<br><br>'Dad, come back.'<br><br>'Dad.' Xu [http://www.nrcil.net/fancybox/lib/rakuten_LV_100.html ルイヴィトン 新作 2014] Xin was holding two children shouted.<br><br>'ah!'<br><br>Luo Feng, Hung, Raytheon trio Black Dragon spacecraft while entering [http://www.nrcil.net/fancybox/lib/rakuten_LV_93.html ルイヴィトン タオル] the door.<br><br>cracking!<br><br>door is [http://www.nrcil.net/fancybox/lib/rakuten_LV_18.html ルイヴィトン シューズ] closed, the rapid rise of the Black Dragon spacecraft, carrying [http://www.nrcil.net/fancybox/lib/rakuten_LV_108.html ルイヴィトン 財布 メンズ エピ] the [http://www.nrcil.net/fancybox/lib/rakuten_LV_42.html ルイヴィトン 帽子] hopes of mankind left Earth Earth! And nearly seven billion people on the planet whole, most people do not know ...... peace in life, there are three people have left the earth, to the vastness of [http://www.nrcil.net/fancybox/lib/rakuten_LV_33.html ルイヴィトン 正規店] the universe for them to win a glimmer of hope to go.<br><br>......<br><br>Black Dragon spacecraft control room, location virtual 100%.<br><br>Luo Feng, Hung, Raytheon sinking all three of them turned around and looked behind the beautiful blue planet.<br><br>'. Baba Ta' Luo [http://www.nrcil.net/fancybox/lib/rakuten_LV_31.html ルイヴィトン バックパック] Feng solemn voice, 'speed, ready to shuttle the universe, the first destination - Prynne Star.'<br><br>Black Dragon spacecraft carrying three strong Earth
* <math>\rho</math> is the [[density]] of the gas ([[kilogram|kg]]/[[meter|m]]<sup>3</sup>).
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* ''v'' is its [[velocity]] (m/[[second|s]]).
<ul>
* ''l'' is its characteristic [[length]], typically the droplet diameter (m).
 
* <math>\sigma</math> is the [[surface tension]] ([[newton (unit)|N]]/m).
  <li>[http://www.yibetong.com/Review.asp?NewsID=485 http://www.yibetong.com/Review.asp?NewsID=485]</li>
 
 
The modified Weber number,
  <li>[http://www.travelan.net/cgi-bin/search.cgi http://www.travelan.net/cgi-bin/search.cgi]</li>
 
 
<math>\mathrm{We}^*=\frac{\mathrm{We}}{48}</math>
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equals the ratio of the kinetic energy on impact to the surface energy,
</ul>
 
:<math>\mathrm{We}^*=\frac{E_\mathrm{kin}}{E_\mathrm{surf}}</math>,
 
where
 
:<math>E_\mathrm{kin}=\frac{\pi\rho l^3 U^2}{24}</math>
 
and
 
:<math>E_\mathrm{surf}=2\pi l^2 \sigma</math>.
 
==Applications==
One application of the Weber number is for the study of heat pipes. When the momentum flux in the vapor core of the heat pipe is high, there is a possibility that the shear stress exerted on the liquid in the wick can be large enough to entrain droplets into the vapor flow. The Weber number is the dimensionless parameter that determines the onset of this phenomenon called the entrainment limit (Weber number greater than or equal to 1). In this case the Weber number is defined as the ratio of the momentum in the vapor layer divided by the surface tension force restraining the liquid, where the characteristic length is the surface pore size.
 
== References ==
*Weast, R. Lide, D. Astle, M. Beyer, W. (1989-1990). CRC Handbook of Chemistry and Physics. 70th ed. Boca Raton, Florida: CRC Press, Inc.. F-373,376.
 
{{NonDimFluMech}}
 
[[Category:Dimensionless numbers]]
[[Category:Fluid dynamics]]
[[Category:Dimensionless numbers of fluid mechanics]]

Latest revision as of 04:03, 17 August 2014

slightly blue skin who shouted.

Mechanical camp ベルト ルイヴィトン party, Zerg side, the knife river king immediately raise a lot of emphasis, which idiot never go free insulted ルイヴィトン 日本 Luofeng it.

......

Having said that, one can mechanically family camp gathered a group of immortal champion, and has two mechanical clan, being bullied to the head, how could Renxia this tone? Killed one of his comrades, and they said nothing was ルイヴィトンルイヴィトン too humiliating.

'Knife River king! this is what you ルイヴィトン カバン メンズ intended?' is surrounded by one of the two mechanical tribe dressed in black ルイヴィトン アズール バッグ battle armor, slightly blue skin who shouted.

Whoosh!

heavy arrows Luo Feng Wang has to fly back side of the trunk, it is very respectful, no one method can forget the ルイヴィトン 通販 heavy 新作ルイヴィトン arrows ruthless king.

'mechanical Family immortal!'

Luo Feng indifference, 'I'm one of your family as well as mechanical Zerg side, no provocation! but that little morning mix king dare insult me! hum ...... really thought I had a group of ルイヴィトン タイガ 財布 allies, not hands can wantonly insult me? him 相关的主题文章：

there are three people have left the earth

Together towards メンズ ルイヴィトン the air fleet of the Black Dragon spacecraft that flew.

'Dad, come back.'

'Dad.' Xu ルイヴィトン 新作 2014 Xin was holding two children shouted.

'ah!'

Luo Feng, Hung, Raytheon trio Black Dragon spacecraft while entering ルイヴィトン タオル the door.

cracking!

door is ルイヴィトン シューズ closed, the rapid rise of the Black Dragon spacecraft, carrying ルイヴィトン 財布 メンズ エピ the ルイヴィトン 帽子 hopes of mankind left Earth Earth! And nearly seven billion people on the planet whole, most people do not know ...... peace in life, there are three people have left the earth, to the vastness of ルイヴィトン 正規店 the universe for them to win a glimmer of hope to go.

......

Black Dragon spacecraft control room, location virtual 100%.

Luo Feng, Hung, Raytheon sinking all three of them turned around and looked behind the beautiful blue planet.

'. Baba Ta' Luo ルイヴィトン バックパック Feng solemn voice, 'speed, ready to shuttle the universe, the first destination - Prynne Star.'

Black Dragon spacecraft carrying three strong Earth 相关的主题文章：

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