Excellence in Research and Innovation for Humanity

International Science Index


Select areas to restrict search in scientific publication database:
10007293
Nonlinear Stability of Convection in a Thermally Modulated Anisotropic Porous Medium
Abstract:
Conditions corresponding to the unconditional stability of convection in a mechanically anisotropic fluid saturated porous medium of infinite horizontal extent are determined. The medium is heated from below and its bounding surfaces are subjected to temperature modulation which consists of a steady part and a time periodic oscillating part. The Brinkman model is employed in the momentum equation with the Bousinessq approximation. The stability region is found for arbitrary values of modulational frequency and amplitude using the energy method. Higher order numerical computations are carried out to find critical boundaries and subcritical instability regions more accurately.

References:

[1] Y. Shu, B.Q. Li, B.R. Ramaprian, Convection in modulated thermal gradients and gravity: experimental measurements and numerical simulations, International Journal of Heat and Mass Transfer, Vol. 48, pp. 145-160, 2005.
[2] G. Venezian, Effect of modulation on the onset of thermal convection, Journal of Fluid Mechanics, Vol. 35, pp. 243-254, 1969.
[3] S. Rosenblat, D.M. Herbert, Low-frequency modulation of thermal instability, Journal of Fluid Mechanics, Vol. 43, pp. 385-398, 1970.
[4] S. Rosenblat, G.A. Tanaka, Modulation of thermal convection instability, Physics of Fluids, Vol. 14, pp. 1319 -1322, 1971.
[5] C.S. Yih, C.H. Li, Instability of unsteady flows or configurations. Part 2. Convective instability, Journal of Fluid Mechanics, Vol. 54, pp. 143 -152, 1972.
[6] G.M. Homsy, Global stability of time-dependent flows. Part 2. Modulated fluid layers, Journal of Fluid Mechanics, Vol. 62, pp. 387-403, 1974.
[7] R.G. Finucane, R.E. Kelly, Onset of instability in a fluid layer heated sinusoidally from below, International Journal of Heat and Mass Transfer, Vol. 19, pp. 78 -85, 1976.
[8] J.P. Caltagirone, Stability of a horizontal porous layer under periodical boundary conditions, International Journal of Heat and Mass Transfer, Vol. 19, pp. 815-820, 1976.
[9] B. Chhuon, J.P. Caltagirone, Stability of a horizontal porous layer with timewise periodic boundary conditions, Journal of Heat Transfer, Vol. 101, pp. 244-248, 1979.
[10] N. Rudraiah, P.V. Radhadevi, P.N. Kaloni, Effect of modulation on the onset of thermal convection in a viscoelastic fluid-saturated sparsely packed porous layer, Canadian Journal of Physics, Vol. 68, pp. 214-221, 1980.
[11] M.S. Malashetty, V.S. Wadi, Rayleigh-Benard convection subject to time dependent wall temperature in a fluid-saturated porous layer, Fluid Dynamics Research, Vol. 24, pp. 293-308, 1999.
[12] B.S. Bhadauria, Thermal modulation of Rayleigh-Benard convection in a sparsely packed porous medium, Journal of Porous Media, Vol. 10, pp. 1-14, 2007.
[13] J. Singh, E. Hines, D. Iliescu, Global stability results for temperature modulated convection in ferrofluids, Applied Mathematics and Computation, Vol. 219, pp. 6204-6211, 2013.
[14] G. Castinel, M. Combarnous, Critere dapparition de la convection naturelle dans une couche poreuse anisotrope horizontal, Comptes rendus de l’Acadmie des Sciences, Vol. 278, pp. 701-704, 1974.
[15] J.F. Epherre, Criterion for the appearance of natural convection in an anisotropic porous layer, International Journal of Chemical Engineering, Vol. 17, pp. 615-616, 1977.
[16] L. Storesletten, Effects of anisotropy on convective flow through porous media, Transport Phenomena in Porous Media, Elsevier, Oxford, 261-284, 1998.
[17] M.S. Malashetty, D. Basavaraja, Rayleigh-Benard convection subject to time dependent wall temperature/gravity in a fluid-saturated anisotropic porous medium, Heat and Mass Transfer, Vol. 38, pp. 551-563, 2002.
[18] F. Capone, M. Gentile, A.A. Hill, Penetrative convection via internal heating in anisotropic porous media, Mechanics Research Communications, Vol. 37, pp. 441-444, 2010.
[19] F. Capone, M. Gentile, A.A. Hill, Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow, International Journal of Heat and Mass Transfer, Vol. 54, pp. 1622-1626, 2011.
[20] S. Saravanan, T. Sivakumar, Thermovibrational instability in a fluid saturated anisotropic porous medium, Journal of Heat Transfer, Vol. 133, pp. 1-9, 2011.
[21] P.G. Siddheshwar, R.K. Vanishree, A.C. Melson, Study of heat transport in Benard-Darcy convection with g-jitter and thermo-mechanical anisotropy in variable viscosity liquids, Transport in Porous Media, Vol. 92, pp. 277-288, 2012.
[22] B.S. Bhadauria, Palle Kiran, Heat transport in an anisotropic porous medium saturated with variable viscosity liquid under temperature modulation, Transport in Porous Media, Vol. 100, pp. 279-295, 2013.
[23] S. Saravanan, T. Sivakumar, Onset of filtration convection in a vibrating medium: The Brinkman model, Physics of Fluids, Vol. 22, pp. 1-15, 2010.
Vol:11 No:08 2017Vol:11 No:07 2017Vol:11 No:06 2017Vol:11 No:05 2017Vol:11 No:04 2017Vol:11 No:03 2017Vol:11 No:02 2017Vol:11 No:01 2017
Vol:10 No:12 2016Vol:10 No:11 2016Vol:10 No:10 2016Vol:10 No:09 2016Vol:10 No:08 2016Vol:10 No:07 2016Vol:10 No:06 2016Vol:10 No:05 2016Vol:10 No:04 2016Vol:10 No:03 2016Vol:10 No:02 2016Vol:10 No:01 2016
Vol:9 No:12 2015Vol:9 No:11 2015Vol:9 No:10 2015Vol:9 No:09 2015Vol:9 No:08 2015Vol:9 No:07 2015Vol:9 No:06 2015Vol:9 No:05 2015Vol:9 No:04 2015Vol:9 No:03 2015Vol:9 No:02 2015Vol:9 No:01 2015
Vol:8 No:12 2014Vol:8 No:11 2014Vol:8 No:10 2014Vol:8 No:09 2014Vol:8 No:08 2014Vol:8 No:07 2014Vol:8 No:06 2014Vol:8 No:05 2014Vol:8 No:04 2014Vol:8 No:03 2014Vol:8 No:02 2014Vol:8 No:01 2014
Vol:7 No:12 2013Vol:7 No:11 2013Vol:7 No:10 2013Vol:7 No:09 2013Vol:7 No:08 2013Vol:7 No:07 2013Vol:7 No:06 2013Vol:7 No:05 2013Vol:7 No:04 2013Vol:7 No:03 2013Vol:7 No:02 2013Vol:7 No:01 2013
Vol:6 No:12 2012Vol:6 No:11 2012Vol:6 No:10 2012Vol:6 No:09 2012Vol:6 No:08 2012Vol:6 No:07 2012Vol:6 No:06 2012Vol:6 No:05 2012Vol:6 No:04 2012Vol:6 No:03 2012Vol:6 No:02 2012Vol:6 No:01 2012
Vol:5 No:12 2011Vol:5 No:11 2011Vol:5 No:10 2011Vol:5 No:09 2011Vol:5 No:08 2011Vol:5 No:07 2011Vol:5 No:06 2011Vol:5 No:05 2011Vol:5 No:04 2011Vol:5 No:03 2011Vol:5 No:02 2011Vol:5 No:01 2011
Vol:4 No:12 2010Vol:4 No:11 2010Vol:4 No:10 2010Vol:4 No:09 2010Vol:4 No:08 2010Vol:4 No:07 2010Vol:4 No:06 2010Vol:4 No:05 2010Vol:4 No:04 2010Vol:4 No:03 2010Vol:4 No:02 2010Vol:4 No:01 2010
Vol:3 No:12 2009Vol:3 No:11 2009Vol:3 No:10 2009Vol:3 No:09 2009Vol:3 No:08 2009Vol:3 No:07 2009Vol:3 No:06 2009Vol:3 No:05 2009Vol:3 No:04 2009Vol:3 No:03 2009Vol:3 No:02 2009Vol:3 No:01 2009
Vol:2 No:12 2008Vol:2 No:11 2008Vol:2 No:10 2008Vol:2 No:09 2008Vol:2 No:08 2008Vol:2 No:07 2008Vol:2 No:06 2008Vol:2 No:05 2008Vol:2 No:04 2008Vol:2 No:03 2008Vol:2 No:02 2008Vol:2 No:01 2008
Vol:1 No:12 2007Vol:1 No:11 2007Vol:1 No:10 2007Vol:1 No:09 2007Vol:1 No:08 2007Vol:1 No:07 2007Vol:1 No:06 2007Vol:1 No:05 2007Vol:1 No:04 2007Vol:1 No:03 2007Vol:1 No:02 2007Vol:1 No:01 2007