Wekesa.W. Simon, K. Hriczó 1
Department of Analysis, Institute of Mathematics, Faculty of Mechanical Engineering and Informatics, University of Miskolc, 3515 Miskolc, Hungary.
Received 7 August, 2025; accepted in revised form 31 October, 2025
Abstract:
Modern industrial applications demand robust numerical methods capable of handling large-scale, nonlinear, and diverse mathematical models. This study investigates magnetohydrodynamic entropy generation associated with the radiative flow of a nanofluid past a nonlinearly stretching porous plate. The methodology employs the Tiwari-Das two-phase model to represent the nanoparticle volume fraction and incorporates effects such as internal heat generation and thermal radiation in a porous medium. Through the application of similarity transformations, the governing partial differential equations for momentum, energy, and concentration are reduced to a system of nonlinear ordinary differential equations, which are then solved numerically using a shooting technique coupled with a Runge-Kutta algorithm implemented via the MATLAB ode45 solver. The primary findings demonstrate how variations in physical parameters, including magnetic field intensity and porosity, directly influence the flow variables and the corresponding entropy generation rates. The insight improves industrial numerical machining, analysis and optimisation of climate and environmental models, data science and machine learning, operations research, and simulation of computational fluid dynamics.
© European Society of Computational Methods in Sciences and Engineering
Keywords: Entropy generation, MHD flow, porous medium, similarity transformation.
Mathematics Subject Classification: 35Q30
PACS: 02.30Jr, 44.30 +v, 47.65.−d