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Labs on Chip
book

Labs on Chip

by Eugenio Iannone
September 2018
Intermediate to advanced content levelIntermediate to advanced
1178 pages
48h 30m
English
CRC Press
Content preview from Labs on Chip

7.4.4    DIFFUSION EQUATION BASIC SOLUTIONS: DIFFUSION IN LIMITED VOLUMES

Diffusion solution in conditions of free diffusion are very useful in several practical cases, however it is also frequently the case in which the fact that diffusion happens in a limited volume cannot be ignored. In this case, boundary conditions are added to the initial condition and the free diffusion Green methods cannot be used. In labs on chip, the ducts and chambers where diffusion happens are generally squared, due to the processes that produce them. Thus, the case of a square domain for diffusion is not only particularly simple, but it is also important in our case.

Let us imagine that diffusion happens in a chamber of dimensions Li (i = 1, 2, 3) whose vertex with ...

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Publisher Resources

ISBN: 9781466560727