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DOI: 10.1615/SpecialTopicsRevPorousMedia.2020017401
pages 239-258

HEAT TRANSFER IN UNSTEADY MAGNETOHYDRODYNAMIC FLOW OF FOURTH-GRADE FLUID THROUGH A POROUS MEDIUM BETWEEN TWO INFINITE PARALLEL PLATES WITH TIME DEPENDENT SUCTION

K. P. Priyadarsan
Department of Mathematics, National Institute of Technology, Calicut, 673601, India
S. Panda
Department of Mathematics, NIT Calicut, Calicut, 673601, India

ABSTRACT

A numerical investigation is carried out to study the unsteady flow of incompressible and electrically conducting fourth-grade fluid through a porous medium between two infinite parallel plates under transverse magnetic field with time-dependent suction. The lower plate is at rest and the upper plate is moving and oscillating in its own plane about a constant mean velocity with time-dependent suction. The basic equations governing the flow and heat transfer are reduced to a set of non-linear partial differential equations. The governing equations are simplified using perturbation method with respect to time and the resulting sixth-order non-linear differential equations are solved numerically using Runge-Kutta method in association with the multi-shooting technique. The simulation results for velocity, temperature, skin friction, and the Nusselt number are discussed using pertinent flow parameters. The investigation reveals that the higher-grade fluid parameters influence significantly the fluid temperature. Moreover, comparison with previous studies shows good agreement as a special case of the problem.

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