Numerical modelling of 3D magnetohydrodynamics chemically reacting permeable sheet influenced by free stream convection nanofluid flow

Year 2025, Volume: 11 Issue: 3, 845 - 857, 16.05.2025

Smita Yadav Sanjay Kumar Parmod Kumar Sharma Vinita Makkar Khyati Dang

Abstract

The effects of a chemical reaction on mixed convective nanofluid flow along a permeable stretched surface in the presence of free stream flow are demonstrated. The impact of multiple non-dimensional characteristics on different gradients and profiles is investigated. Through appropriate transformations, governing coupled partial differential equations become ordinary differential equations, which are then solved numerically. Through MATLAB programming, Runge Kutta Fehlberg method by following shooting technique yields the numerical solutions. Influence of fluid parameters especially free stream velocity, thermal Biot number, concentration Biot number, heat generation parameter, chemical reaction parameter, stretching ratio parameter, permeability parameter, magnetic parameter, Prandtl number, Brownian motion parameter, Lewis number has been investigated that makes this research novel one. The calculated results are presented in the form of tables and contour plots. Furthermore, examined are the thermal transfer strength (Nusselt number) and the mass exchange strength (Sherwood number). According to our research, the velocity distribution gets smaller as the magnetic parameter increases, but the corresponding profile gets increases for free stream velocity flow. With rise in the values of stretching ratio parameter from 2.0-10.0, heat transfer rate falls down by 7.24%. Heat transfer rate falls down by 22.37% with rise in the values of Prandtl number within the range 0.2-1.0. Additionally, temperature enhances with enhancement in thermal Biot number. Comparing its latest findings to prior outcomes and accomplishing convergence criteria supports this technique’s validity. Current research in this domain has diverse applications, encompassing power plants, refrigeration systems, medical science, ranging from transportation to energy production and in wide variety of industries, Micro-Electro-Mechanical Systems and in the field of biotechnology. This research attempts to help industrial companies achieve product quality by regulating transport phenomena.

Keywords

Chemical Reaction , Magnetohydrodynamics , Nanofluid , Non-Newtonian Casson Fluid , Permeable Sheet

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