Exergy Analysis for Combustible Third-Grade Fluid Flow through a Medium with Variable Electrical Conductivity and Porous Permeability
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Date
2023-04-15
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Mathematics, MDPI, Basel, Switzerland.
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.
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Citation
Adesanya, S.O.; Banjo, P.O.; Lebelo, R.S. Exergy Analysis for Combustible Third-Grade Fluid Flow through a Medium with Variable Electrical Conductivity and Porous Permeability. Mathematics 2023, 11, 1882. https://doi.org/10.3390/ math11081882