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  4. Triple diffusive magneto convection in a fluid-porous composite system

Triple diffusive magneto convection in a fluid-porous composite system

MMC.
2023;
Volume 10, Number 1
: pp. 226–238
https://doi.org/10.23939/mmc2023.01.226
Received: May 14, 2022
Revised: August 02, 2022
Accepted: August 04, 2022

Mathematical Modeling and Computing, Vol. 10, No. 1, pp. 226–238 (2023)

Authors:
  1. R. Sumithra
  2. B. Komala
  3. N. Manjunatha
1
Department of UG, PG Studies & Research in Mathematics, Nrupathunga University, Bengaluru, Karnataka, India
2
Department of Science and Humanities, PES University, Bengaluru, Karnataka, India
3
Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka, India

A study on triple diffusive magneto convection is made for a fluid – porous composite system with rigid-rigid boundaries insulated to temperature and concentration.  The porous layer of the composite system is modeled using Darcy–Brinkman model.  The method of regular perturbation approach is employed to find the eigen-value for the problem considered.  The critical Rayleigh number as criterion for the onset of convection is derived for step function, salting below and desalting above salinity profiles.  The effect of various physical parameter on the onset of convection is graphically depicted and the stability of the system is analyzed.

triple diffusive magneto convection
non uniform salinity gradients
regular perturbation technique
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