Journal of Computational Applied Mechanics

Influence of Hall Current and Entropy Generation Effects on Squeezing Flow with Homogeneous and Heterogeneous Chemical Reactions

Document Type : Research Paper

Authors

1 Department of Mathematics, Abdul Wali Khan University Mardan (23200), KP, Pakistan

2 Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia

3 Deanship of Scientific Research, King Abdulaziz University, Jeddah, Saudi Arabia

4 Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdul Aziz University, Jeddah21589, Saudi Arabia

5 Operational Research Center in Healthcare, Near East University, Nicosia/TRNC, 99138 Mersin 10, Turkey

6 Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea

Abstract

This study investigates the combined effects of the Hall current and entropy generation, taking into account Joule heating and viscous dissipation, on the squeezing flow of a viscous fluid between two parallel plates in the presence of both homogeneous and heterogeneous chemical reactions. The primary objective is to enhance understanding of heat transfer rates relevant to applications such as fuel cells, engine cooling systems, pharmaceutical processes, and various engineering industries. In the problem under consideration, the upper plate is squeezing down to the bottom plate, whereas the lower plate exhibits the irreversibly analysis of flow with homogeneous and heterogeneous chemical reactions. When the problem is modeled, the coupled system of partial differential equations is obtained which is transformed into a system of ordinary differential equations by applying the similarity transformation. These resulting equations are solved using the Homotopy Analysis Method (HAM), with appropriate initial conditions and auxiliary parameters to ensure rapid and reliable convergence. The accuracy of the HAM solutions is validated by comparison with results obtained using the numerical solver BVP4c. The study further analyzes effects of the Hall term, entropy generation, variable viscosity, and thermal conductivity on the velocity and temperature distributions in the presence of chemical reactions.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 56, Issue 4
October 2025
Pages 802-824
  • Receive Date: 12 July 2025
  • Revise Date: 21 July 2025
  • Accept Date: 22 July 2025