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Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model (2012)
Journal Article
Malashetty, M. S., Hill, A. A., & Swamy, M. (2012). Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model. Acta Mechanica, 223(5), 967-983. https://doi.org/10.1007/s00707-012-0616-1

The stability of a binary viscoelastic fluid-saturated porous layer which is heated from below is studied, where the fluid and solid phases are not in local thermal equilibrium. The modified Darcy-Oldroyd model is employed as a momentum equation, wit... Read More about Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model.

Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer (2012)
Journal Article
Wicks, T. J., & Hill, A. A. (2012). Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer. Continuum Mechanics and Thermodynamics, 24(3), 229-237. https://doi.org/10.1007/s00161-012-0234-0

Linear and nonlinear stability analyses were performed on a fluid layer with a concentration-based internal heat source. Clear bimodal behaviour in the neutral curve (with stationary and oscillatory modes) is observed in the region of the onset of os... Read More about Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer.

An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients (2012)
Journal Article
Hill, A. A., & Malashetty, M. S. (2012). An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468(2138), 323-336. https://doi.org/10.1098/rspa.2011.0137

This paper explores an operative technique for deriving nonlinear stability by studying double-diffusive porous convection with a concentration-based internal heat source. Previous stability analyses on this problem have yielded regions of potential... Read More about An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients.

Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer (2012)
Journal Article
Wicks, T. J., & Hill, A. A. (2012). Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer. Continuum Mechanics and Thermodynamics, 24(3), 229-237. https://doi.org/10.1007/s00161-012-0234-0

Linear and nonlinear stability analyses were performed on a fluid layer with a concentration-based internal heat source. Clear bimodal behaviour in the neutral curve (with stationary and oscillatory modes) is observed in the region of the onset of os... Read More about Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer.