Magnetic field and gravity effects on peristaltic transport of a Jeffrey fluid in an asymmetric channel. (English) Zbl 1474.76098

Abd-Alla, A. M.; Abo-Dahab, S. M.; Albalawi, Maram M.

Abstr. Appl. Anal. 2014, Article ID 896121, 11 p. (2014).

Summary: In this paper, the peristaltic flow of a Jeffrey fluid in an asymmetric channel has been investigated. Mathematical modeling is carried out by utilizing long wavelength and low Reynolds number assumptions. Closed form expressions for the pressure gradient, pressure rise, stream function, axial velocity, and shear stress on the channel walls have been computed numerically. Effects of the Hartmann number, the ratio of relaxation to retardation times, time-mean flow, the phase angle and the gravity field on the pressure gradient, pressure rise, streamline, axial velocity, and shear stress are discussed in detail and shown graphically. The results indicate that the effect of Hartmann number, ratio of relaxation to retardation times, time-mean flow, phase angle, and gravity field are very pronounced in the peristaltic transport phenomena. Comparison was made with the results obtained in the presence and absence of magnetic field and gravity field.

MSC:

76W05	Magnetohydrodynamics and electrohydrodynamics
92C35	Physiological flow
76Z05	Physiological flows

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