Abstract:
The primary goal of this work is to determine heat and mass transfer through fluid-flows sheets dealing mathematical modelling for stagnant and varying thickness, considering magnetic fields, permeability, heat source/sink, radiation, Joule heating, chemical reactions, and buoyancy force. The Runge-Kutta fourth order Method (RK-4th order) is used to transform PDE into ODE utilizing similarity conversions. To tabularize mathematical remarks of the local parameters, RK-4th has been developed in MATLAB. For diverse parameters under diverse constant and changing thickness circumstances of fluid characteristics, Nusselt and Sherwood parameters are examined and quantified. Temperature, velocity, and volume fraction graphical representations are used to describe the effects of various factors. When it comes to irregular fluid properties, the coefficient of skin friction has a bigger impact than when it comes to continuous fluid characteristics. However, in the situation of inconstant fluid properties, the local Nusselt number is smaller than in the case of constant fluid characteristics. The RK 4th technique produced high precision computational results, according to the findings. © 2023 Society of Thermal Engineers of Serbia Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions
