Open Access iconOpen Access

ARTICLE

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: 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. https://doi.org/10.32604/fdmp.2022.021136

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.

Keywords


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.



cc 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.
  • 774

    View

  • 503

    Download

  • 1

    Like

Share Link