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ARTICLE

Analysis of Heat Transport in a Powell-Eyring Fluid with Radiation and Joule Heating Effects via a Similarity Transformation

Tahir Naseem^1,2,*, Iqra Bibi¹, Azeem Shahzad², Mohammad Munir³

1 Department of Mathematics, Government Postgraduate College Haripur, 22620, Pakistan
2 Basic Sciences Department, University of Engineering and Technology, Taxila, 47050, Pakistan
3 Department of Mathematics, Government Postgraduate College, Abbottabad, 22010, Pakistan

* Corresponding Author: Tahir Naseem. Email:

(This article belongs to the Special Issue: Advances in Fluid Flow, Heat and Thermal Sciences)

Fluid Dynamics & Materials Processing 2023, 19(3), 663-677. https://doi.org/10.32604/fdmp.2022.021136

Received 29 December 2021; Accepted 31 March 2022; Issue published 29 September 2022

Abstract

Heat transfer in an Eyring-Powell fluid that conducts electricity and flows past an exponentially growing sheet is considered. As the sheet is stretched in the x direction, the flow develops in the region with y > 0. The problem is tackled through a set of partial differential equations accounting for Magnetohydrodynamics (MHD), radiation and Joule heating effects, which are converted into a set of equivalent ordinary differential equations through a similarity transformation. The converted problem is solved in MATLAB in the framework a fourth order accurate integration scheme. It is found that the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer, whereas the Eckert-number displays the opposite trend. As this characteristic number grows, the temperature within the channel increases.

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