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Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid. (English) Zbl 1094.76004

Summary: The problem of peristaltic transport of non-Newtonian fluid represented by the constitutive equation for a Johnson-Segalman fluid is analyzed for a planar channel. The fluid is electrically conducting. The walls of the channel are electrically insulated and transversely displaced by an infinite, harmonic travelling wave of long wavelength. The general solution of the nonlinear equation resulting from the momentum equation is constructed for all values of Weissenberg number. A perturbation solution is also obtained. Some graphs are plotted for physical parameters and discussed.

MSC:

76A05 Non-Newtonian fluids
76W05 Magnetohydrodynamics and electrohydrodynamics
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
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