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Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube. (English) Zbl 1221.76016

Summary: This study is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The fluid is electrically conducting in the presence of a uniform magnetic field. Analytic solution is carried out for long wavelength and low Reynolds number considerations. The expressions for stream function, axial velocity and axial pressure gradient have been obtained. The results for pressure rise and frictional force per wavelength obtained in the analysis have been evaluated numerically and discussed briefly. The significance of the present model over the existing models has been pointed out by comparing the results with other theories. It is further noted that under the long wavelength approximation, the retardation time has no effect in the present analysis.

MSC:

76A05 Non-Newtonian fluids
76W05 Magnetohydrodynamics and electrohydrodynamics
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