Peristaltic flow of a magneto-micropolar fluid: effect of induced magnetic field. (English) Zbl 1158.76055

Mekheimer, Kh. S.

J. Appl. Math. 2008, Article ID 570825, 23 p. (2008).

Summary: We examine the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effects of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

MSC:

76W05	Magnetohydrodynamics and electrohydrodynamics
76A05	Non-Newtonian fluids

Keywords:

parametric investigation; long wavelength approximation; current distribution; shear stresses

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