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Generalized Newtonian fluid flow through a porous medium.
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2016, Vol. 433 Issue 1, p603-621. 19p. - Publication Year :
- 2016
-
Abstract
- We present a model for generalized Newtonian fluid flow through a porous medium. In the model the dependence of the fluid viscosity on the velocity is replaced by a dependence on a smoothed (locally averaged) velocity. With appropriate assumptions on the smoothed velocity, existence of a solution to the model is shown. Two examples of smoothing operators are presented in the appendices. A numerical approximation scheme is presented and an a priori error estimate derived. A numerical example is given illustrating the approximation scheme and the a priori error estimate. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 433
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 109089792
- Full Text :
- https://doi.org/10.1016/j.jmaa.2015.07.054