Technical Brief

Semi analytical solution of heat transfer of MHD third grade fluids flowing through parallel plates with viscous dissipation

[+] Author and Article Information
Sumanta Chaudhuri

School of Mechanical Engineering, KIIT, Deemed to be University, Bhubanswar, Odisha, 751024, India

Sushil Rathore

Former Assistant Professor, Department of Mechanical Engineering, National Institute of Technology Patna, Patna, Bihar,800005, India; Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, 769008, India

1Corresponding author.

ASME doi:10.1115/1.4041682 History: Received February 16, 2018; Revised October 07, 2018


The present study deals with the heat transfer characteristics of magnetohydrodynamic (MHD) flow of a third grade fluid through parallel plates, subjected to a uniform wall heat flux, but of different magnitudes. The effect of viscous dissipation has been included for both heating and cooling of the fluid. The least square method (LSM) has been adopted for solving the non-linear equations. The expressions for the velocity and temperature fields have been derived which, in turn, is utilized to evaluate the Nusselt number. The results indicate an increase in Nusselt number for higher values of the third grade fluid parameter during heating and indicate a reverse trend for cooling. Nusselt number increases with an increase in Hartmann number during heating whereas it decreases with increasing values of the Hartmann number while cooling the fluid.

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