Exploring the Steady Flow of a Viscoelastic Fluid Passing over a Porous Perpendicular Plate Subjected to Heat Generation and Chemical Reactions

Author:

Sudarmozhi K.1,Iranian D.1,Alqarni M. M.2,Khan Muhammad Sabeel3ORCID,Mahmoud Emad E.4,Pradhan R.5,Haque M. M.6ORCID

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India

2. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia

3. Department of Mathematics, Capital University of Science and Technology, Islamabad 64000, Pakistan

4. Department of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif 21944, Saudi Arabia

5. Department of Computer Science, GLA University, Mathura, Uttar Pradesh, India

6. Department of Mathematics, Jagannath University, Dhaka 1100, Bangladesh

Abstract

This study aims to bridge the gap by conducting a numerical analysis of Maxwell fluid behaviour on a perpendicular plate within a porous medium, considering both chemical reaction and heat generation. The investigation also encompasses the study of energy and mass transfer within magnetohydrodynamic (MHD) Maxwell fluids. We utilise a transformation technique employing similarity variables to address the challenge posed by the nonlinear partial differential equations (PDEs). These transformed equations are subsequently solved via the bvp4c solver in MATLAB. The obtained results exhibit a high degree of agreement with the previously published work. The study systematically explores the influence of chemical reaction, energy generation, and Deborah number parameters on temperature and velocity, as well as concentration, presenting the outcomes graphically. In addition, we calculate local Sherwood numbers, Nusselt numbers, and skin friction coefficients to assess the impact of chemical reactions. Our findings notably indicate that Sherwood numbers and skin friction coefficients increase with higher levels of chemical reaction, while local Nusselt numbers decrease as chemical reactions become more pronounced. By studying Maxwell fluid flow over a perpendicular plate with chemical reactions, this research contributes to optimizing processes, enhancing product quality, and providing deeper insights into the behaviour of complex fluids in real-world scenarios.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

General Mathematics

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