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Zbl 1172.76051
Srinivas, S.; Gayathri, R.
Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium. (English)
[J] Appl. Math. Comput. 215, No. 1, 185-196 (2009). ISSN 0096-3003

Summary: The problem of peristaltic flow of a Newtonian fluid with heat transfer in a vertical asymmetric channel through porous medium is studied under long-wavelength and low-Reynolds number assumptions. The flow is examined in a wave frame of reference moving with the velocity of the wave. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. The analytical solution has been obtained for the temperature, from which an axial velocity, stream function and pressure gradient have been derived. The effects of permeability parameter, Grashof number, heat source/sink parameter, phase difference, varying channel width and wave amplitudes on the pressure gradient, velocity, pressure drop, the phenomenon of trapping and shear stress are discussed numerically and explained graphically.

MSC 2000:: *76S05 Flows in porous media
76D05 Navier-Stokes equations (fluid dynamics)
80A20 Heat and mass transfer

Keywords: Grashof number; trapping; long-wavelength approximation; analytical solution; parametric investigation

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