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Peristaltic transport of a Jeffrey fluid with variable viscosity through a porous medium in an asymmetric channel. (English) Zbl 1329.76012

Summary: The peristaltic flow of a Jeffrey fluid with variable viscosity through a porous medium in an asymmetric channel is investigated. The channel asymmetric is produced by choosing the peristaltic wave train on the wall of different amplitude and phase. The governing nonlinear partial differential equations for the Jeffrey fluid model are derived in Cartesian coordinates system. Analytic solutions for stream function, velocity, pressure gradient, and pressure rise are first developed by regular perturbation method, and then the role of pertinent parameters is illustrated graphically.

MSC:

76A05 Non-Newtonian fluids
76S05 Flows in porous media; filtration; seepage
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