Non-linear Rayleigh-Benard Magnetoconvection in Temperature-sensitive Newtonian Liquids with Variable Heat Source

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Authors

  • A. S. Aruna
     Department of Mathematics, MSRIT, Bengaluru ,IN
  • V. Ramachandramurthy
     Department of Mathematics, RRIT, Bengaluru ,IN
  • N. Kavitha
     Department of Mathematics, MSRIT, Bengaluru ,IN

DOI:

https://doi.org/10.18311/jims/2021/22782

Keywords:

Rayleigh-Benard convection, Lorenz model, Magnetic eld, Temperature-sensitive Newtonian liquids
Fluid Mechanics

Abstract

The present paper aims at weak non-linear stability analysis followed by linear analysis of nite-amplitude Rayleigh-Benard magneto convection problem in an electrically conducting Newtonian liquid with heat source/sink. It is shown that the internal Rayleigh number, ther- morheological parameter, and the Chandrasekhar number in uence the onset of convection. The generalized Lorenz model derived for the prob- lem is essentially the classical Lorenz model but with some coecient depending on the variable heat source (sink), viscosity, and the applied magnetic eld. The result of the parameters' in uence on the critical Rayleigh number explains their in uence on the Nusselt number. It is found that an increasing strength of the magnetic eld is to stabilize the system and diminishes heat transport whereas the heat source and variable viscosity in-tandem to work system unstable and enhances heat transfer.

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Published

2021-01-28

How to Cite

Aruna, A. S., Ramachandramurthy, V., & Kavitha, N. (2021). Non-linear Rayleigh-Benard Magnetoconvection in Temperature-sensitive Newtonian Liquids with Variable Heat Source. The Journal of the Indian Mathematical Society, 88(1-2), 08–22. https://doi.org/10.18311/jims/2021/22782

Issue

Volume 88, Issue 1-2, January-June 2021

Section

Articles

License

Copyright (c) 2021 A. S. Aruna, V. Ramachandramurthy, N. Kavitha

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-11-20
Accepted 2020-11-10
Published 2021-01-28

 

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