Exergy Analysis for Combustible Third-Grade Fluid Flow through a Medium with Variable Electrical Conductivity and Porous Permeability

Samuel O. Adesanya (), Peace O. Banjo and Ramoshweu S. Lebelo
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Samuel O. Adesanya: Department of Mathematics and Statistics, Faculty of Natural Sciences, Redeemer’s University, Ede 232101, Osun State, Nigeria
Peace O. Banjo: Department of Mathematics and Statistics, Faculty of Natural Sciences, Redeemer’s University, Ede 232101, Osun State, Nigeria
Ramoshweu S. Lebelo: Education Department, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1911, South Africa

Mathematics, 2023, vol. 11, issue 8, 1-13

Abstract: A mathematical investigation of a thermodynamical system linked with energy management and its impact on the environment, especially climate change, is presented in this study. In this regard, a numerical investigation of the flow and heat transfer of hydromagnetic third-grade liquid through a porous medium. The permeability of the medium and electrical conductivity of the fluid are assumed to be temperature functions. The appropriate mathematical formulations for momentum, energy, and entropy equations are presented in both dimensional and dimensionless forms. We obtained the numerical solutions using the spectral version of the Chebyshev collocation method and compared the result with the shooting Runge–Kutta method. Numerical results for velocity, temperature, entropy, and Bejan profiles are communicated through tables and graphs with adequate physical interpretation. The thermal stability of the thermo-fluid system that guarantees the prevention of spontaneous fluid heating that fuels climate change is also included in the analysis.

Keywords: variable electrical conductivity; third-grade fluid; variable porous permeability; thermal stability; entropy analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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