Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet

Muhammad Ayub 1 , Haider Zaman 2 , and Masud Ahmad 3
  • 1 Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, 44000, Pakistan
  • 2 Department of Mathematics, Islamia College University 25120, Peshawar, 25000, Pakistan
  • 3 Department of Mathematics, University of Sargodha, Sargodha, Pakistan

Abstract

We examine the problem of flow and heat transfer in a second grade fluid over a stretching sheet [K. Vajravelu, T. Roper, Int. J. Nonlinear Mech. 34, 1031 (1999)]. The equations considered by Vajravelu and Roper [K. Vajravelu, T. Roper, Int. J. Nonlinear Mech. 34, 1031 (1999)], are found to be incorrect in the literature. In this paper, we not only corrected the equation but found a useful analytic solution to this important problem. We also extended the problem for hydromagnetic flow and heat transfer with Hall effect. The explicit analytic homotopy solution for the velocity field and heat transfer are presented. Graphs for the velocity field, skin friction coefficient, and rate of heat transfer are presented. Tables for the skin friction coefficient and rate of heat transfer are also presented. The convergence of the solution is also properly checked and discussed.

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