Martingale difference sequence: Difference between revisions

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In [[engineering]], the '''mass transfer coefficient''' is a [[diffusion]] rate constant that relates the [[mass transfer]] rate, mass transfer area, and concentration gradient as driving force:<ref name=SeaderHenley>{{cite book | author = Seader, J. D., and Henley, Ernest J. | title = Separation Process Principles | publisher = Wiley | location = New York | year = | isbn = 0-471-58626-9}}</ref>
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<math>k_c = \frac{\dot{n}_A}{A  \Delta c_A}</math>
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*''k''<sub>''c''</sub> is the mass transfer coefficient [mol/(s&middot;m<sup>2</sup>)/(mol/m<sup>3</sup>)], or m/s
*''<math>\dot{n}_A</math>'' is the mass transfer rate [mol/s]
*''A'' is the effective mass transfer area [m<sup>2</sup>]
*&Delta;''C''<sub>''A''</sub> is the driving force concentration difference [mol/m<sup>3</sup>].
 
This can be used to quantify the mass transfer between [[phase (matter)|phase]]s, [[miscible|immiscible]] and partially [[miscible]] [[fluid]] mixtures (or between a fluid and a porous solid<ref>e.g.: during [[adsorption]] process.</ref>). Quantifying mass transfer allows for design and manufacture of [[separation process]] equipment that can meet specified requirements, estimate what will happen in real life situations (chemical spill), etc.
 
Mass transfer coefficients can be estimated from many different theoretical [[equation]]s, [[correlation]]s, and [[analogy|analogies]] that are functions of material properties, [[intensive and extensive properties|intensive properties]] and flow regime ([[laminar flow|laminar]] or [[turbulence|turbulent]] flow).  Selection of the most applicable model is dependent on the materials and the system, or environment, being studied.
 
==Mass transfer coefficient units==
* (mol/s)/(m<sup>2</sup>&middot;mol/m<sup>3</sup>) = m/s
 
==See also==
*[[Mass transfer]]
*[[Separation process]]
*[[Sieving coefficient]]
 
==References==
<references/>
 
[[Category:Chemical engineering]]
[[Category:Transport phenomena]]
{{engineering-stub}}

Latest revision as of 06:42, 28 February 2014

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