Abstract

The effect of unsteady MHD flow of a micropolar fluid over an inclined plate with thermal radiation and non-uniform heat source/sink, non-linear thermal radiation, chemical reaction and convective boundary conditions has been investigated in the present study. A mathematical model is developed to set of Partial differential equations into non-linear coupled ordinary differential equations and then solved numerically by spectral relaxation method (SRM) with finite difference scheme which employs the Gauss-Seidel type of relaxation approach to linearize and decouple the system of differential equations and then Chebyshev pseudo-spectral method was used to solve the equations. The influence of various physical parameters are depicted graphically and analyzed in details. An excellent agreement of accuracy has found after comparing present work with previously published work.

Highlights

  • The micro-structured fluids which belongs to a class of fluids with nonsymmetric stress tensor are termed as micropolar fluids

  • In the section of method of solution, we developed the spectral relaxation method (SRM) and its applications to the nonlinear systems partial differential equations

  • In the present study we established unsteady MHD flow of a Micropolar fluid over an inclined plate in the presence of thermal radiation and non-uniform heat source/sink are reported which are solved by developing the spectral relaxation method (SRM) and its application to the nonlinear systems partial differential equations (13) - (16) with the boundary conditions (17)

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Summary

Introduction

The micro-structured fluids which belongs to a class of fluids with nonsymmetric stress tensor are termed as micropolar fluids. The heat transfer to a micropolar fluid from a non-isothermal stretching sheet with studied by Hady [5].

Results
Conclusion

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