Advances and Applications in Fluid Mechanics

The Advances and Applications in Fluid Mechanics publishes research papers in all aspects of fluid mechanics, including theoretical, computational, and experimental investigations. It covers topics such as compressible and incompressible flow, turbulence, and multiphase flow. Application-oriented articles are encouraged, and survey articles are welcome.

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THE EFFECT OF ANISOTROPY ON THE STABILITY OF ROTATING FLUID SATURATED POROUS LAYER USING LTNE MODEL

Authors

  • N. K. Enagi
  • Sridhar Kulkarni

Keywords:

Convection, rotation, anisotropic, Thermal non-equilibrium.

DOI:

https://doi.org/10.17654/0973468625002

Abstract

An analytical investigation is carried out to examine the stability of a horizontal, fluid-saturated, rotating anisotropic porous layer that is heated from below and cooled from above. The analysis is conducted under the assumption that the fluid and solid phases are not in local thermal equilibrium. The momentum equation is based on Darcy’s model, modified to include the Coriolis term to account for rotational effects. The energy equations are formulated using a two-field model, representing the thermal behavior of the solid and fluid phases separately, with each incorporating anisotropic thermal conductivity. It is assumed that the temperatures of the solid and fluid phases are equal at the bounding surfaces. Linear stability theory is employed to determine the critical Rayleigh number and wave number for the onset of convection. Through graphical analysis, the effects of anisotropic permeability and rotation on convective instability are illustrated. The results reveal that thermal anisotropy and rotation act to stabilize the system, while mechanical anisotropy and an increased conductivity ratio have a destabilizing influence.

Received: May 7, 2025
Revised: May 11, 2025
Accepted: May 16, 2025

References

M. S. Malashetty, Mahantesh Swamy and Kulkarni Sridhar, Thermal convection in a rotating porous layer using a thermal non equilibrium model, Physics of Fluids 19(5) (2007). https://doi.org/10.1063/1.2723155.

A. Postelnicu, Effect of inertia on the onset of mixed convection in a porous layer using thermal non equilibrium model, J. Porous Media 10(50) (2007), 515-524. https://doi.org/10.1016/S0735-1933(97)00013-4.

I. S. Shivakumar, A. L. Mamatha and M. Ravish, Boundary and thermal non equilibrium effects on the onset of Darcy-Brinkman convection in a porous layer, J. Eng. Math. 67 (2010), 317-328. https://doi.org/10.1007/s10665-010-9362-3.

I. S. Shivakumara, Lee Jinho, A. L. Mamatha and M. Ravish, Boundary and thermal non-equilibrium effects on convective instability in an anisotropic porous layer, J. Mech. Sci. Tech. 25(4) (2011), 911-921.

https://doi.org/10.1007/s12206-011-0137-1.

I. S. Shivakumara, Lee Jinho, A. L. Mamatha and M. Ravish, Local thermal non equilibrium effects on thermal convection in rotating anisotropic porous layer, Appl. Mathematic and Computation 259 (2015), 838-857.

https://doi.org/10.1016/j.amc.2015.03.023.

Krishna B. Chavaraddi, N. K. Enagi and Sridhar Kulkarni, On the onset of convection in a couple stress fluid saturated rotating anisotropic porous layer using thermal non equilibrium model, JP Journal of Heat and Mass Transfer 16(1) (2019), 125-142.

http://dx.doi.org/10.17654/HM016010125.

Leiv Storesletten and D. A. S. Rees, Onset of convection in an inclined anisotropic porous layer with internal heat generation, Fluids 4(2) (2019), 75.

https://doi.org/10.3390/fluids4020075.

K. B. Chavaraddi, N. K. Enagi and Sridhar Kulkarni, Non-equilibrium thermal convection in an anisotropic porous layer saturated with a viscoelastic fluid, AIP Conference Proceedings 2022. https://doi.org/10.1063/5.0095544.

N. K. Enagi, Krishna B. Chavaraddi and Sridhar Kulkarni, The effect of anisotropy on Darcy-Brinkman convection in a Maxwell fluid saturated porous layer, Advances and Applications in Fluid Mechanics 31(1) (2024), 1-22. https://doi.org/10.17654/0973468624001.

M. Kousalya and S. Saravanan, Effect of gravity and anisotropy on the convective instability in nanofluid porous medium, Numerical Heat Transfer (2024). https://doi.org/10.1080/10407782.2024.2365424.

S. Bixaathi and A. B. Babu, Casson fluid flow of rotating magneto-convection in a vertical porous medium, Phys. Fluids 37(1) (2025), 014125.

https://doi.org/10.1063/5.0231663.

N. K. Enagi, Krishna B. Chavaraddi, Sridhar Kulkarni and G. K. Ramesh, Effect of maximum density and internal heating on the stability of rotating fluid saturated porous layer using LTNE model, Heliyon 8(6) (2022), e09620.

https://doi.org/10.1016/j.heliyon.2022.e09620.

N. K. Enagi, Krishna B. Chavaraddi, Sridhar Kulkarni, Couple stress fluid saturated rotating porous layer with internal heat generation and density maximum, JP Journal of Heat and Mass Transfer 35(1) (2023), 1-19. http://dx.doi.org/10.17654/0973576323039.

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Published

2025-06-13

Issue

Vol. 32 No. 1 (2025)

Section

Articles

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How to Cite

THE EFFECT OF ANISOTROPY ON THE STABILITY OF ROTATING FLUID SATURATED POROUS LAYER USING LTNE MODEL. (2025). Advances and Applications in Fluid Mechanics, 32(1), 19-35. https://doi.org/10.17654/0973468625002