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{{Unreferenced|date=December 2009}}
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The '''Sherwood number''' ('''Sh''') (also called the '''mass transfer [[Nusselt number]]''') is a [[dimensionless number]] used in mass-transfer operation. It represents the ratio of [[convection|convective]] to [[diffusion|diffusive]] mass transport, and is named in honor of [[Thomas Kilgore Sherwood]].
 
It is defined as follows
 
:<math>\mathrm{Sh} = \frac{K L}{D} = \frac{\mbox{Convective mass transfer coefficient}}{\mbox{Diffusive mass transfer coefficient}} </math>
 
where
* ''L'' is a characteristic length (m)
* ''D'' is [[mass diffusivity]] (m<sup>2</sup>.s<sup>−1</sup>)
* ''K'' is the [[mass transfer coefficient]] (m<sup></sup>.s<sup>−1</sup>)
 
Using dimensional analysis, it can also be further defined as a function of the [[Reynolds number|Reynolds]] and [[Schmidt number|Schmidt]] numbers:  
:<math>\mathrm{Sh} = f(\mathrm{Re}, \mathrm{Sc})</math>
 
For example, for a single sphere it can be expressed as:
 
:<math>\mathrm{Sh} = \mathrm{Sh}_0 + C\, \mathrm{Re}^{m}\, \mathrm{Sc}^{\frac{1}{3}}</math>
 
where <math>\mathrm{Sh}_0</math> is the Sherwood number due only to natural convection and not forced convection.
 
A more specific correlation, the Froessling equation:
 
:<math>\mathrm{Sh} = 2 + 0.552\, \mathrm{Re}^{\frac{1}{2}}\, \mathrm{Sc}^{\frac{1}{3}}</math>
 
This form is particularly valuable to chemical engineers in situations where the [[Reynolds number]] and [[Schmidt number]] are readily available. Since Re and Sc are both dimensionless numbers, the Sherwood number is also dimensionless.
 
These correlations are the mass transfer analogs to heat transfer correlations of the [[Nusselt number]] in terms of the [[Reynolds number]] and [[Prandtl number]].  For a correlation for a given geometry (e.g. spheres, plates, cylinders, etc.), a heat transfer correlation (often more readily available from literature and experimental work, and easier to determine) for the Nusselt number (Nu) in terms of the Reynolds number (Re) and the Prandtl number (Pr) can be used as a mass transfer correlation by replacing the Prandtl number with the analogous dimensionless number for mass transfer, the [[Schmidt number]], and replacing the Nusselt number with the analogous dimensionless number for mass transfer, the Sherwood number.
 
As an example, a heat transfer correlation for spheres is given by the Ranz-Marshall Correlation:
 
:<math>\mathrm{Nu} = 2 + 0.6\, \mathrm{Re}^{\frac{1}{2}}\, \mathrm{Pr}^{\frac{1}{3}}, ~ 0 \le ~ \mathrm{Re} <200, ~ 0 \le \mathrm{Pr} < 250</math>
 
This correlation can be made into a mass transfer correlation using the above procedure, which yields:
 
:<math>\mathrm{Sh} = 2 + 0.6\, \mathrm{Re}^{\frac{1}{2}} \, \mathrm{Sc}^{\frac{1}{3}}, ~ 0 \le ~ \mathrm{Re} < 200, ~ 0 \le \mathrm{Sc} < 250</math>
 
This is a very concrete way of demonstrating the [[Transport phenomena#Analogy between phenomena|analogies between different forms of transport phenomena]].
 
==See also==
* [[Churchill-Bernstein Equation]]
{{NonDimFluMech}}
 
{{DEFAULTSORT:Sherwood Number}}
[[Category:Dimensionless numbers]]

Revision as of 19:34, 2 March 2014

It is the start of another new year, plus folks have all prepared their New Year's Resolutions. If you are like many individuals at this time, then we have possibly resolved to finally lose a excess fat and begin living a healthy lifetime. Despite the truth which persons might constantly choose this resolution, very few of them make it function. It is somewhat surprising to learn this. What we can conclude from this info is the fact that people are not utilizing a way of fat loss which may really function.

The initially system of action is the green coffee weight loss ingredient: chlorogenic acid. Chlorogenic acid is a all-natural phytochemical. Chlorogenic acid functions by inhibiting the absorption and the utilization of glucose, sometimes known because glucose, into the blood stream. No glucose inside the bloodstream means no build up of fat in the body considering glucose turns to fat in the body whenever it is not burned.

If you try a diet for a long period of time, you need to utilize a great deal of willpower, time and energy to lose weight. It's a pretty hard thing to do plus most folks aren't successful at it.

[2] Hemmerle, H et al., Chlorogenic acid and synthetic chlorogenic acid derivatives: novel inhibitors of hepatic glucose-6-phosphate translocase. Arch Biochem Biophys, 1997. 339(2): p 315-22.

Not startlingly, I'm good with this aid. Listen, I smell a rat. I'm not a wizard inside which. As others have reported, this is where a few beginning fat loss fans create their only mistake. It for this. Definitely, we read it right.

The extract, created with chlorogenic acid, is converted into a capsule form before being sold to customers. However it doesn't come cheap. A month's supply may cost up to fifty bucks.

When coffee beans are roasted, almost all of the chlorogenicacid is lost. Green Coffee Beans, inside comparison, are un-roasted, have little aroma, are bitter, and contain over 50% Chlorogenic Acid.

It just takes about 7 to 10 minutes to roast a half a cup of green coffee beans depending on how dark of roast you may be wanting and the kind of bean you may be roasting. Immediately after roasting, you'll want to pour out the freshly roasted beans on a cookie sheet and cooling them down because promptly because possible. You usually additionally wish to allow roasted coffee beans air out to release the CO2 for about 4 to 24 hours. This ensures the best possible taste of the coffee bean. That is how we roast coffee beans at house in a nutshell.

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