Influence of magnetic field and heat and mass transfer on the peristaltic flow through a porous rotating medium with compliant walls

Abstract

Purpose

The purpose of this paper is to predict the effects of magnetic field, heat and mass transfer and rotation on the peristaltic flow of an incompressible Newtonian fluid in a channel with compliant walls. The whole system is in a rotating frame of reference.

Design/methodology/approach

The governing equations of two-dimensional fluid have been simplified under long wavelength and low Reynolds number approximation. The solutions are carried out for the stream function, temperature, concentration field, velocity and heat transfer coefficient.

Findings

The results indicate that the effects of permeability, magnetic field and rotation are very pronounced in the phenomena. Impacts of various involved parameters appearing in the solutions are carefully analyzed.

Originality/value

The effect of the concentration distribution, heat and mass transfer and rotation on the wave frame is analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. A comparison was made with the results obtained in the presence and absence of rotation, magnetic field and heat and mass transfer.

Citation

Abd-Alla, A.M., Abo-Dahab, S.M. and Elsagheer, M. (2017), "Influence of magnetic field and heat and mass transfer on the peristaltic flow through a porous rotating medium with compliant walls", Multidiscipline Modeling in Materials and Structures, Vol. 13 No. 4, pp. 648-663. https://doi.org/10.1108/MMMS-05-2017-0031