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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Analytical solution of unsteady MHD immiscible fluid with thermal radiation and chemical reaction in a porous medium under heat source

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pp. 1017–1027Vol. 27Issue 5August 2024DOI: 10.47974/JIM-1929XML
Received:
05 Mar 2024
Published Online:
30 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1929
Pages:
1017–1027

Abstract

Immiscible fluids find diverse applications across production and engineering sectors. In this study, we are presenting an analytical solution for the dynamics of unsteady immiscible fluid systems incorporating thermal radiation and chemical reactions within the porous medium subjected to a heat source. Initially, we address this complex system by formulating partial differential equations governing momentum, energy, and concentration. By employing nondimensional variables, we convert these equations into forms that have no dimensions, making it straightforward to evaluate them. Following that, we implement the Laplace methods for obtaining accurate solutions for concentration, temperature, and velocity, ensuring that both initial and boundary conditions are maintained. Then by employing MATLAB, we create visual aids to clarify some phenomena existing in the system.

Keywords

Subject Classifications

44A1076D0576S0580A99

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