New Analytical Solution of Stagnation Point Flow and Heat Transfer in a Porous Medium

  • M Rajaram Research Scholar, Ramanujan Research Center in Mathematics, Saraswathi Narayanan College, Madurai, Tamil Nadu, India
  • A Meena Assistant Professor, Ramanujan Research Center in Mathematics, Saraswathi Narayanan College, Madurai, Tamil Nadu, India
  • K Krishnan Associate Professor, Ramanujan Research Center in Mathematics Saraswathi Narayanan College, Madurai, Tamil Nadu, India
Keywords: Similarity transformations, q-Homotopy analysis method, Numerical simulation, Skin-friction co-efficients, Local Nusselt number

Abstract

A new analytical method called q-homotopy analysis method is applied for solving nonlinear differential equations. In this paper, the mathematical study of stagnation points flow and heat transfer phenomena in a porous medium are discussed. The governing coupled nonlinear partial differential equations are converted into coupled nonlinear ordinary differential equations using similarity transformations and solved analytically for the values of Prandtl number Pr, Porous medium K, Casson fluid parameter β, Ratio parameter c using q-homotopy Analysis Method. The influence of the skin-friction coefficients for different parameters is discussed and presented in tabular form. The obtained q-homotopy analysis method solutions are compared with numerical results and it gives a remarkable accuracy.

Published
2021-05-15
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