Linear, Parabolic, and Inverted Parabolic Temperature Gradients Impact on Double-Diffusive Rayleigh-Darcy Convection : A Composite System with Couple Stress Fluid
Authors
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Associate Professor, Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka ,IN
R. Sumithra -
Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka ,INT. Arul Selvamary
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Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka ,INJ. M. Shivaraja
DOI:
https://doi.org/10.18311/jmmf/2022/31857Keywords:
Double-Diffusive Convection, Couple Stress Fluid, Thermal Rayleigh Number, Solute Rayleigh Number, Composite System.Abstract
The influence of linear, parabolic and inverted parabolic temperature gradients on the onset of double-diffusive Rayleigh-Darcy convection is theoretically investigated. The composite system is constrained horizontally by adiabatic and free-free thermal boundaries, and appropriate interfacial boundary conditions are used to connect fluid-porous layers. The regular perturbation approach is used to determine the critical Rayleigh number expression for different temperature gradients. Graphs are used to investigate the significance of a variety of dimensionless characteristics. The couple stress parameter, couple stress viscosity ratio, solute Rayleigh number, and solute diffusivity ratio clearly have a stabilizing effect on the system, whereas the Darcy number and thermal diffusivity ratio destabilize it.
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