Variable thermal conductivity and mass diffusivity effects in a free convective flow of doubly stratified non-darcian porous medium over a vertical plate
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Department of Mathematics, Sir Theagaraya College, India
Department of Mathematics, SRM Institute of Science and Technology
Department of Mathematics, SRM Institute of Science and Technology, India
Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
Faculty of Mathematics, University of Cluj CP253, Romania
Submission date: 2023-10-25
Final revision date: 2023-12-12
Acceptance date: 2024-01-09
Online publication date: 2024-03-26
Publication date: 2024-03-27
Corresponding author
Bapuji Pullepu   

Department of Mathematics, SRM Institute of Science and Technology, 603203, Kattankulathur
International Journal of Applied Mechanics and Engineering 2024;29(1):159-178
The research in this article is carried out to study incompressible and unsteady free convective flow on a semi-infinite isothermal vertical plate in a doubly stratified non-Darcian porous media with variable mass diffusivity and variable thermal conductivity. The governing non-linear partial differential equations of flow were calculated by applying an implicit finite difference scheme of Crank-Nicolson type. Various parametric impacts on concentration profiles, temperature, velocity, as well Sherwood number, Nusselt number and skin friction, were examined and presented in graphs. It is examined that there exists a significant temperature decrease for high Darcy number in stratified fluids. Also, it is detected that the presence of stratification produces a considerable drop in skin friction while increases the mass and heat transfer rate. Comparison of current outcomes well agreed with the available solutions.
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