Abstract

The peristaltic flow of velocity second slip boundary conditions and inclined magnetic field of Jeffrey fluid by means of heat and mass transfer in asymmetric channel was inspected in the present study. Leading equations described the existing flow were then simplified under lubrication approach. Therefore, exact solutions of stream function, concentration and temperature were deduced. Further, the numerical solutions of pressure rise and pressure gradient were computed using Mathematica software. Furthermore, the effect of the second slip parameter was argued via graphs. It has been depicted that this kind of slip is mandatory and very imperative to foresee the physical model. On the other hand, false results will be obtained.

Highlights

  • The peristaltic motion induced by channel or tube boundaries has a main role of fluid transport in living organisms and industrial pumping

  • With the existing of heat transfer, peristalsis is imperative in many processes such as oxygenation and hemodialysis

  • The cram of magnetohy drodynamic (MHD) peristaltic flow is useful as it is used in the reduction of bleeding during surgeries, targeted transfer of drugs via magnetic particles as drug carries, and MRI to diagnose diseases

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Summary

Introduction

The peristaltic motion induced by channel or tube boundaries has a main role of fluid transport in living organisms and industrial pumping. Hayat et al [36] introduced a mathematical model in order to study the slip effects of heat and mass transfer on peristaltic transport of MHD power-law fluid and second grade fluid in the channel by flexible walls. Hina et al [44] investigated the peristaltic flow of pseudoplastic fluid with wall properties in a curved channel by heat or mass transfer In their important study, Roşca and Pop [45] showed that the second order slip flow model is essential to predict flow characteristics precisely. The intent of the current study is, to examine the effect of velocity second slip in non-Newtonian fluids by heat and mass transfer in the presence of an inclined magnetic field over an inclined tapered asymmetric channel, as many researchers have recently givenconsiderable attention to this geometry, for example [50,51,52]. With help of Mathematica software, many graphical outcomes are plotted and reported for various involved physical parameters of interest

Mathematical Formulation
Exact Solution of Problem
Different Wave Shapes
Variation
Conclusion

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