Non-Uniform Temperature Gradients Impact on 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/2022/31856Keywords:
Rayleigh-Darcy Convection, Couple Stress Fluid, Composite System, Non-Uniform Temperature Gradient.Abstract
The impact of non-uniform temperature gradients on Rayleigh-Darcy convection in a composite system of couple stress fluid is discussed. The composite system is bounded by stress-free surfaces and adiabatically insulated, and the fluid-porous layers are coupled by employing appropriate interfacial boundary conditions. To determine the eigen value, the regular perturbation method is used. The effect of dimensionless parameters on Rayleigh-Darcy convection is analysed graphically, and it is demonstrated that the couple stress parameter and couple stress viscosity ratio stabilise the system, while the opposite effect is observed for the Darcy number and thermal diffusivity ratio.
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