Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Authors

  • Gauri Shanker Seth

    Department of Applied Mathematics, Indian School of Mines, Dhanbad
  • Subharthi Sarkar

    Department of Applied Mathematics, Indian School of Mines, Dhanbad
  • Goutam Kumar Mahato

    Department of Applied Mathematics, Indian School of Mines, Dhanbad

Received date: May 11, 2013

Accepted date: May 11, 2013

Published date: May 16, 2013

DOI:

https://doi.org/10.14419/ijamr.v2i2.939

Abstract

A numerical investigation of unsteady hydromagnetic natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature embedded a porous medium in the presence of thermal diffusion is carried out. The governing equations are solved numerically by Crank-Nicolson implicit finite difference scheme. The numerical solution for fluid velocity and fluid temperature are depicted graphically whereas the numerical values of skin friction and Nusselt number are presented in tabular form for various values of pertinent flow parameters. Natural convection flow near a ramped temperature plate is also compared with the flow near an isothermal plate.

Author Biography

  • Gauri Shanker Seth, Department of Applied Mathematics, Indian School of Mines, Dhanbad

    Professor & Head

    Department of Applied Mathematics

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How to Cite

Seth, G. S., Sarkar, S., & Mahato, G. K. (2013). Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature. International Journal of Applied Mathematical Research, 2(2), 317-324. https://doi.org/10.14419/ijamr.v2i2.939

Received date: May 11, 2013

Accepted date: May 11, 2013

Published date: May 16, 2013