Abstract
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.
Highlights
Peristaltic pumping has been the object of scientific and engineering research in recent years
The aim of this paper is to study the effect of magnetic field and gravity field on peristaltic motion of Jeffrey type and is electrically conducting in asymmetric channel
Due to the complicated nature of the governing equations of the pertinent field equations governing the peristaltic transport of Jeffery fluid, the work done in this field is limited in number
Summary
Peristaltic pumping has been the object of scientific and engineering research in recent years. Abd-Alla et al [8] studied the effects of rotation and magnetic field on nonlinear peristaltic flow of second-order fluid in an asymmetric channel through a porous medium. Akram and Nadeem [24] discussed the peristaltic motion of a two-dimensional Jeffrey fluid in an asymmetric channel under the effects of the induced magnetic field and heat transfer. Rathod and Mahadev [25] investigated the effect of heat transfer and magnetic field on the peristaltic transport of Jeffrey fluid in an inclined channel taking slip condition into account. V. Reddy [26] studied the effect of sleep on the peristaltic flow of a Jeffrey fluid through a porous medium in an asymmetric channel under the assumptions of long wavelength and low Reynolds number. The results and discussions presented in this study may be helpful to further understand MHD peristaltic motion for non-Newtonian fluids in an asymmetric channel
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