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Published in:
Thermodynamics and Evolution Read chapter Read first chapter

2015 | OriginalPaper | Chapter

16. Non-stationary Material Transport

Author : Roberto Mauri

Published in: Transport Phenomena in Multiphase Flows

Publisher: Springer International Publishing

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Abstract

In Sects. 16.1, 16.2 and 16.3 of this chapter we will solve three problems where we can apply the Quasi-Steady State (QSS) approximation, that we have already encountered in Sects. 5.​5 and 9.​4. This hypothesis is valid when the characteristic time needed to change the boundary conditions is much longer than the time needed to reach steady state. Then, in the last Sect. 16.4, we will see an examples where this assumption is not applicable, showing how much more difficult these problems become.

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previous chapter Stationary Material Transport
next chapter Convective Material Transport
Footnotes
1
More exactly, at the particle surface we have: n · N A = −k M c A , where n is the unit vector perpendicular to the surface and directed outward, therefore in a direction opposite to the oxygen flux.
 
2
As in the problem of the previous Section, the flux of carbon on the inner side of the interface, at r = R −, is equal to the one measured on the outer side, at r = R +.
 
Metadata
Title
Non-stationary Material Transport
Author
Roberto Mauri
Copyright Year
2015
Book
Transport Phenomena in Multiphase Flows

Print ISBN: 978-3-319-15792-4

Electronic ISBN: 978-3-319-15793-1

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-15793-1_16

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