Outcomes of Uniform as well as Non-Uniform Temperature Profiles on the Onset of Double Diffusive Magneto-Darcy-Rayleigh-Benard Convection in a Two Layer set up in the presence of Local Thermal Non-Equilibrium

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Authors

  • Associate Professor, Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Nrupathunga University, Bengaluru, Karnataka ,IN
  • Research Scholar, Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Nrupathunga University, Bengaluru, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2022/31852

Keywords:

Local Thermal Non Equilibrium (LTNE), Two Layer Set-Up, Temperature Profiles, Regular Perturbation Technique.

Abstract

Outcomes of uniform as well as non-uniform temperature profiles that is linear, parabolic, inverted parabolic, Piecewise Linear Profile Heated from Below (PLHB), Piecewise Linear Profile Cooled from Above (PLCA) and Step Function (SF) temperature profile on the onset of Double Diffusive Magneto-Darcy-Rayleigh-Benard (DDMDRB) Convection in a two layer set up in the presence of Local Thermal Non-Equilibrium with incompressible fluid horizontally surrounded by adiabatic rigid boundaries. Analytical solution to the attained problem is accomplished by means of regular perturbation technique. The consequences of altering the parameters namely fluid phase thermal expansion ratio, solid phase thermal expansion ratio, solid phase thermal diffusivity ratio, inter-phase diffusivity ratio, solute Rayleigh number, Chandrasekhar number, thermal ratio and porous parameter have been elucidated graphically.

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Published

2022-11-02

How to Cite

Sumithra, R., & Venkatraman, S. (2022). Outcomes of Uniform as well as Non-Uniform Temperature Profiles on the Onset of Double Diffusive Magneto-Darcy-Rayleigh-Benard Convection in a Two Layer set up in the presence of Local Thermal Non-Equilibrium. Journal of Mines, Metals and Fuels, 70(7A), 38–52. https://doi.org/10.18311/jmmf/2022/31852

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References

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