ORIGINAL PAPER
Investigation of heat and mass transfer on unsteady MHD flow through a porous medium past an exponentially accelerated plate with stratification effects
Rakesh Rabha,
Rudra Kanta Deka,
Corresponding Author
Rakesh Rabha
Department of Mathematics, Gauhati University, Guwahati, Assam, India
Correspondence
Rakesh Rabha, Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India.
Email: [email protected]
Search for more papers by this authorRudra Kanta Deka
Department of Mathematics, Gauhati University, Guwahati, Assam, India
Search for more papers by this authorRakesh Rabha,
Rudra Kanta Deka,
Corresponding Author
Rakesh Rabha
Department of Mathematics, Gauhati University, Guwahati, Assam, India
Correspondence
Rakesh Rabha, Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India.
Email: [email protected]
Search for more papers by this authorRudra Kanta Deka
Department of Mathematics, Gauhati University, Guwahati, Assam, India
Search for more papers by this authorFirst published: 15 December 2024
Abstract
This research analyzes the effects of heat and mass transfer on unsteady magnetohydrodynamics fluid flow through a porous material along a vertical plate that accelerates exponentially and has both thermal and mass stratification. We find the solutions to the system's governing equations by employing the Laplace transformation approach and graphs are produced by implementing MATLAB software. The unique aspect of this problem is that we find the precise solution by applying the extremely effective Laplace transform approach, which yields an error-free exact answer. The effect of flow variables on velocity, temperature, and concentration profiles are illustrated using graphs. The results show that when the magnetic field parameters are raised, there is a corresponding increase in temperature and decrease in velocity. As the permeability parameter increases velocity profile increases, temperature and concentration profiles decreases. The need to better understand fluid flow in a variety of engineering and environmental contexts—such as geothermal energy extraction, thermal management, chemical processing industries, and environmental control technologies—could be the driving force behind this study. Understanding flow mechanisms in both natural and artificially created porous environments is improved by this innovative method.
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