IntroReactionDiffusion [read]


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Unformatted text preview: Table i, FluxEqn i , i, 0.1, 15, 0.1 , Joined True, PlotRange Frame True, PlotStyle Thick, FrameLabel Style "Φ", 14 , Style " A ", 14 .1 0, .4 , 0.4 A 0.3 0.2 Out[26]= 0.1 0.0 0 2 4 6 8 10 12 14 Φ 0 When cA C In[27]:= Out[27]= 0.6, n 3, the limiting value for A is FluxEqn 10 0.39034 The previous remarks illustrate the importance of choosing appropriate scaling variables for the dependent variables when examining limiting processes. If the scaling variables become infinite in a limiting process, the true nature of how the dependent variable behaves will be obscured. References The above problem is discussed in various textbook on mass transfer, though often the underlying assumptions are not carefully stated. Rarely is the species jump condition invoked. A good reference is R. B. Bird, W. E. Stewart, E. N. Lightfoot, Transport Phenomena, 2nd Edition John Wiley, 2005...
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This document was uploaded on 03/14/2014.

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