10.57647/j.jtap.2025.1906.62

Radiative Effect in MHD Flow of Viscoelastic Fluids with Null Mass Flux Through a Porous Channel

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  • Edwin Esekhaigbe*1,
  • Uchenna A. Uka2,
  • Celestine U. Agwi1,
  • Aniayam B. Okrinya3,
  1. Department of Mathematics and Computer Science, University of Africa, Bayelsa State, Nigeria
  2. Department of Basic Sciences, School of Science and Technology, Babcock University, Ogun State, Nigeria
  3. Department of Mathematics, Niger Delta University, Bayelsa State, Nigeria

Received: 2025-07-17

Revised: 2025-07-25

Accepted: 2025-10-17

Published in Issue 2025-12-31

Copyright (c) 2025 Edwin Esekhaigbe, Uchenna A. Uka, U. Agwi, Aniayam B. Okrinya (Author)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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1.
Esekhaigbe E, Uka UA, Agwi CU, Okrinya AB. Radiative Effect in MHD Flow of Viscoelastic Fluids with Null Mass Flux Through a Porous Channel . J Theor Appl phys. 2025 Dec. 31;19(6). Available from: https://oiccpress.com/jtap/article/view/18089
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Abstract

This study examined a viscoelastic fluid with zero mass flux, incorporating magnetohydrodynamics, radiative effects, melting heat effects, and channel permeability. The study of viscoelastic fluid is essential due to its extensive industrial and biological applications. 
The problem presented in the form of partial differential equations was converted into ordinary differential equations by a suitable similarity transformation. To solve the linked set of equations numerically, the Runge-Kuttab-Fehlberg fifth-order via shooting techniques, and Maple program were deployed. The resulting solution offers valuable insight into how melting heat and viscoelasticity interact to affect different flow characteristics. According to the profiles, the fluid's speed decreases due to an increase in the magnetic field and radiation parameters, but the velocity profile noticeably increases when the melting heat effect increases, showing an upward tendency in the fluid's speed. The temperature profile depicts a downward trend as the melting heat increases. The result indicates a low temperature distribution all through the fluid system. The study highlights how combining ????????????, melting heat, and thermal effects is essential for the best performance and efficiency of viscoelastic fluids in cooling devices, oil recovery, polymer processing, and biomedical engineering. 

Keywords

  • Melting heat,
  • Heat flux,
  • MHD,
  • Shrinking,
  • MAPLE software
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