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Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel. (English) Zbl 1111.76348
Summary: This paper is devoted to the study of peristaltic flow of a fourth-grade fluid in a channel under the considerations of long wavelength and low Reynolds number. The flow is examined in a wave frame of reference moving with velocity of the wave. The analytic solution is obtained in the form of a stream function from which the axial velocity and axial pressure gradient are derived. The results for the pressure rise and frictional force per wavelength are computed numerically. The computational results indicate that the pressure rise and frictional force per wavelength increase in the case of non-Newtonian fluid when compared with Newtonian fluid. Several graphs of physical interest are displayed and discussed.
MSC:
76Z05Physiological flows
76A05Non-Newtonian fluids
76W05Magnetohydrodynamics and electrohydrodynamics
92C35Physiological flows