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

Tahir Naseem1,2,*, 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 this Special Issue: Advances in Fluid Flow, Heat and Thermal Sciences)

Fluid Dynamics & Materials Processing 2023, 19(3), 663-677.

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


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.


Stretched flow; powell-eyring model; heat flux model; radiated effect; relaxation phenomenon; numerical study

Cite This Article

Naseem, T., Bibi, I., Shahzad, A., Munir, M. (2023). Analysis of Heat Transport in a Powell-Eyring Fluid with Radiation and Joule Heating Effects via a Similarity Transformation. FDMP-Fluid Dynamics & Materials Processing, 19(3), 663–677.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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