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Zbl 1149.76670
Elshehawey, E.F.; Eldabe, N.T.; Elghazy, E.M.; Ebaid, A.
Peristaltic transport in an asymmetric channel through a porous medium.
(English)
[J] Appl. Math. Comput. 182, No. 1, 140-150 (2006). ISSN 0096-3003

Summary: The problem of peristaltic transport of an incompressible viscous fluid in an asymmetric channel through a porous medium is analyzed. The flow is investigated in a wave frame of reference moving with velocity of the wave under the assumptions of long-wavelength and low-Reynolds number. An explicit form of the stream function is obtained by using Adomian decomposition method. The analysis showed that transport phenomena are strongly dependent on the phase shift between the two walls of the channel. It is indicated that the axial velocity component U in fixed frame increases with increasing the permeability parameter. In the case of high permeability parameter (as $K \rightarrow \infty )$, our results are in agreement with {\it M. Mishra} and {\it A. Ramachandra Rao} [Z. Angew. Math. Phys. 54, No. 3, 532--550 (2003; Zbl 1099.76545)] and {\it O. Eytan, D. Elad} [Analysis of intra-uterine fluid motion induced by uterine contractions, Bull. Math. Biol. 61, 221 (1999)]. The results given in this paper may throw some light on the fluid dynamic aspects of the intra-uterine fluid flow through a porous medium.
MSC 2000:
*76S05 Flows in porous media
74F10 Fluid-solid interactions

Keywords: peristaltic transport; asymmetric channel; porous medium

Citations: Zbl 1099.76545

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