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Shit, G. C.; Roy, M.; Ng, E. Y. K.

Effect of induced magnetic field on peristaltic flow of a micropolar fluid in an asymmetric channel. (English) Zbl 1397.92147

Int. J. Numer. Methods Biomed. Eng. 26, No. 11, 1380-1403 (2010).
Summary: Of concern in this paper is an investigation of peristaltic transport of a physiological fluid in an asymmetric channel under long wave length and low-Reynolds number assumptions. The flow is assumed to be incompressible, viscous, electrically conducting micropolar fluid and the effect of induced magnetic field is taken into account. Exact analytical solutions obtained for the axial velocity, microrotation component, stream line pattern, magnetic force function, axial-induced magnetic field as well as the current density distribution across the channel. The flow phenomena for the pumping characteristics, trapping and reflux are also investigated. The results presented reveal that the velocity decreases with the increase of magnetic field as well as the coupling parameter. Moreover, the trapping fluid can be eliminated by the application of an external magnetic field. Thus, the study bears the promise of important applications in physiological systems.

Cited in 5 Documents

MSC:

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

Keywords:

micropolar fluid; asymmetric channel; peristaltic transport; induced magnetic field; trapping
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\textit{G. C. Shit} et al., Int. J. Numer. Methods Biomed. Eng. 26, No. 11, 1380--1403 (2010; Zbl 1397.92147)
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