# The Effect of Magnetic Field on Compressible Boundary Layer by Homotopy Analysis Method

## Authors

• Department of Mathematics, Jyothy Institute of Technology, Bengaluru - 560082
• P. G. Department of Mathematics, M. E. S. College of Arts, Commerce and Science, Bengaluru - 560003
• Department of Mathematics, Vijaya College, Bengaluru - 560004

## Keywords:

Homotopy analysis method, finite difference method, compressible boundary layer flow, Magnetohydrodynamics (MHD), Falkner-Skan transformations, Pade approximations, h curves, Region of convergence, suction, injection, Flow separation

## Abstract

We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting h curve. Singularities of the solution are identified by Pade approximation.

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2021-01-28

## How to Cite

Madhusudhan, R., Nargund, A. L., & Sathyanarayana, S. B. (2021). The Effect of Magnetic Field on Compressible Boundary Layer by Homotopy Analysis Method. The Journal of the Indian Mathematical Society, 88(1-2), 125–145. https://doi.org/10.18311/jims/2021/26517

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