Computational and Stability Analysis of MHD Time-Dependent Thermal Reaction Flow Impinging on a Vertical Porous Plate Enclosing Magnetic Prandtl Number and Thermal Radiation Effect

Zeeshan, N. Ameer Ahammad, Nehad Ali Shah (), Jae Dong Chung and Muhammad Shoaib Khan
Additional contact information
Zeeshan: Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, Pakistan
N. Ameer Ahammad: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
Jae Dong Chung: Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
Muhammad Shoaib Khan: Department of Mathematics, University of Peshawar, Peshawar 25120, Pakistan

Mathematics, 2023, vol. 11, issue 6, 1-20

Abstract: The aim of the present study is to investigate magnetohydrodynamic (MHD) time-dependent flow past a vertical slanted plate enclosing heat and mass transmission (HMT), induced magnetic field (IMF), thermal radiation (TR), and viscous and magnetic dissipation characteristics on a chemical reaction fluid flow. A boundary layer estimate is taken to develop a movement that exactly captures the time-dependent equations for continuity, momentum, magnetic induction, energy, concentration, generalized Ohm’s law, and Maxwell’s model. Partial differential equations designate the path occupied by the magnetized fluid as it passes through the porous matrix. In addition, a heat source is included in the model in order to monitor the flow nature in the current study. Because of the nonlinearity in the governing equations, the mathematical models are computed numerically by RK4 method. Further, tables and graphs are depicted to elucidate the physical influence of important factors on the flow characteristics. The novelty of the present work is investigating the irregular heat source and chemical reaction over the porous rotating channel. It is perceived that high thermal radiation occurs with increases in temperature and concentration. It is witnessed that the IMF effect is diminished for large values of magnetic Prandtl number (MPN). It is also analyzed that with increasing the heat source factor, the velocity of the fluid enhances. For stability analysis, the existing effort is compared with the published work and good agreement is found. Moreover, the residue error estimation confirms our solution.

Keywords: RK4 method; magnetic Prandtl number; permeable vertical plate; viscous and magnetic dissipation; chemical reaction; error estimation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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