Effects of rotation and magnetic field on the nonlinear peristaltic flow of a second-order fluid in an asymmetric channel through a porous medium |
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| Authors: | A. M. Abd-Alla S. M. Abo-Dahab H. D. El-Shahrany |
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| Affiliation: | [1]Department of Mathematics, Faculty of Science, Tail University, Saudi Arabia [2]Department of Mathematics, Faculty of Science, Sohag, Egypt [3]Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt |
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| Abstract: | In this paper, the effects of both rotation and magnetic field of the peristaltic transport of a second-order fluid through a porous medium in a channel are studied analytically and computed numerically. The material is represented by the constitutive equations for a second-order fluid. Closed-form solutions under the consideration of long wavelength and low Reynolds number is presented. The analytical expressions for the pressure gradient, pressure rise, friction force, stream function, shear stress, and velocity are obtained in the physical domain. The effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow in the wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation, magnetic field, and porosity. The results indicate that the effects of the non-dimensional wave amplitude, porosity, magnetic field, rotation, and the dimensionless time-mean flow are very pronounced in the phenomena. |
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| Keywords: | peristaltic flow second-order fluid magnetic field porous medium |
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