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Peristaltic transport in an asymmetric channel through a porous medium. (English) Zbl 1149.76670
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), our results are in agreement with M. Mishra and A. Ramachandra Rao [Z. Angew. Math. Phys. 54, No. 3, 532–550 (2003; Zbl 1099.76545)] and 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.
76S05Flows in porous media; filtration; seepage
74F10Fluid-solid interactions