Open Access

ARTICLE

Numerical Analysis of Entropy Generation in Joule Heated Radiative Viscous Fluid Flow over a Permeable Radially Stretching Disk

Tahir Naseem¹, Fateh Mebarek-Oudina^2,3,*, Hanumesh Vaidya⁴, Nagina Bibi⁵, Katta Ramesh^6,7, Sami Ullah Khan⁸

1 Government Degree College Khanpur, Haripur, 22620, Pakistan
2 Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, 602105, India
3 Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, B.P 26 Road El-Hadaiek, Skikda, 21000, Algeria
4 Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, 583105, India
5 Government Girls Degree College No. 2, Haripur, 22620, Pakistan
6 Department of Pure and Applied Mathematics, School of Mathematical Sciences, Sunway University, Bandar Sunway, Petaling Jaya, 47500, Malaysia
7 Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Jalandhar, 144411, India
8 Department of Mathematics, Namal University, Mianwali, 42250, Pakistan

* Corresponding Author: Fateh Mebarek-Oudina. Email:

Computer Modeling in Engineering & Sciences 2025, 143(1), 351-371. https://doi.org/10.32604/cmes.2025.063196

Received 08 January 2025; Accepted 13 March 2025; Issue published 11 April 2025

Abstract

Maximizing the efficiency of thermal engineering equipment involves minimizing entropy generation, which arises from irreversible processes. This study examines thermal transport and entropy generation in viscous flow over a radially stretching disk, incorporating the effects of magnetohydrodynamics (MHD), viscous dissipation, Joule heating, and radiation. Similarity transformations are used to obtain dimensionless nonlinear ordinary differential equations (ODEs) from the governing coupled partial differential equations (PDEs). The converted equations are then solved by using the BVP4C solver in MATLAB. To validate the findings, the results are compared with previously published studies under fixed parameter conditions, demonstrating strong agreement. Various key parameters are analyzed graphically to assess their impact on velocity and temperature distributions. Additionally, Bejan number and entropy generation variations are presented for different physical parameters. The injection parameter (S < 0) increases the heat transfer rate, while the suction parameter (S > 0) reduces it, exhibiting similar effects on fluid velocity. The magnetic parameter (M) effectively decreases entropy generation within the range of approximately 0 ≤ η ≤ 0.6. Beyond this interval, its influence diminishes as entropy generation values converge, with similar trends observed for the Bejan number. Furthermore, increased thermal radiation intensity is identified as a critical factor in enhancing entropy generation and the Bejan number.

---

Keywords

---