Abstract

In this paper, analysis of nonlinear partial differential equations on velocities and temperature with convective boundary conditions are investigated. The governing partial differential equations are transformed into ordinary differential equations by applying similarity transformations. The system of nonlinear differential equations are solved using Homotopy Analysis Method (HAM). An analytical solution is obtained for the values of Magnetic parameter M2, Prandtl number Pr, Porosity parameter

Highlights

  • The main objective of this paper is to investigate the analytical solution of boundary layer flow of electrically conducting Casson fluid past

  • The system of nonlinear partial differential equations has been diminished into the system of nonlinear ordinary differential equation [6-8]

  • Still there is no analytical results for 3D Casson fluid flow

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Summary

INTRODUCTION

S. Shaw et al [1] explained the study of Magnetohydrodynamic (MHD) flow 3D casson fluid. Shaw et al [1] explained the study of Magnetohydrodynamic (MHD) flow 3D casson fluid It has many industrial applications, such as purification of crude oil, Magnetohydrodynamic electrical power generation [1]. Many authors [2-5] have been investigated experimentally and numerically for the MHD flow of Casson fluid with convective boundary conditions. The main objective of this paper is to investigate the analytical solution of boundary layer flow of electrically conducting Casson fluid past. S. Shaw et al [1] presented the numerical solution of 3D Casson fluid flow using Spectral relaxation method. Still there is no analytical results for 3D Casson fluid flow In this manuscript, the coupled nonlinear equations are solved using Homotopy analysis method [9-11]. Differential sensitivity analysis are graphically represented for different parameters.

MATHEMATICAL FORMULATION AND ANALYSIS OF THE PROBLEM
ANALYTICAL EXPRESSION FOR SKIN FRICTION CO-EFFICIENT AND LOCAL NUSSELT
AND DISCUSSION
Findings
CONCLUSION
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