Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel. (English) Zbl 1267.76108

Mekheimer, Kh. S.; Husseny, S. Z. A.; Elmaboud, Y. Abd

Numer. Methods Partial Differ. Equations 26, No. 4, 747-770 (2010).

Summary: This article discusses the effect of heat transfer on the peristaltic flow of a Newtonian fluid through a porous space in a vertical asymmetric channel. Long wavelength approximation is used to linearize the governing equations. The system of the governing nonlinear PDE is solved by using the perturbation method. The solutions are obtained for the velocity and the temperature fields. The flow is investigated in a wave frame of reference moving with velocity of the wave. Numerical calculations are carried out for the pressure rise, frictional forces, and the features of the flow and temperature characteristics are analyzed by plotting graphs and discussed in detail.

MSC:

76S05	Flows in porous media; filtration; seepage
76Z05	Physiological flows
74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76M25	Other numerical methods (fluid mechanics) (MSC2010)
80A20	Heat and mass transfer, heat flow (MSC2010)

Keywords:

asymmetric channel; heat transfer; peristaltic flow; porosity; pressure rise

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