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Marangoni Convection in a Fluid Layer with Internal Heat Generation
Authors: Norfifah Bachok, Norihan Md. Arifin
Abstract:
In this paper we use classical linear stability theory to investigate the effects of uniform internal heat generation on the onset of Marangoni convection in a horizontal layer of fluid heated from below. We use a analytical technique to obtain the close form analytical expression for the onset of Marangoni convection when the lower boundary is conducting with free-slip condition. We show that the effect of increasing the internal heat generation is always to destabilize the layer.Keywords: Marangoni convection, heat generation, free-slip
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1073080
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[1] J. R. A.Pearson, "On convection cells induce by surface tension," J. Fluid Mech., vol. 4, pp 489-500, 1958.
[2] E. M. Sparrow, R .J Goldstein and V. K. Jonsson, "Thermal stability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature," J. Fluid Mech., vol. 18, pp 513-529,1964.
[3] P. H. Roberts, "Convection in horizontal layers with internal heat generation: Theory," J. Fluid Mech., vol. 30, pp 33 -49, 1967.
[4] M. I. Char and K. T. Chiang, "Stability analysis of B'enard-Marangoni convection in fluids with internal heat generation," J. Phys. D:Appl. Phys., vol. 27, pp 748 -755, 1994.
[5] S. K. Wilson, "The effect of uniform internal heat generation on the onset of steady Marangoni convection in a horizontal layer of fluid," Acta Mechanica, vol. 124, pp 63 -78, 1997.
[6] N. M. Arifin and N. Bachok, "Boundary effect on the Onset of Marangoni Convection with Internal Heat Generation," International Journal of Mathematical, Physical and Engineering Sciences, vol. 2, pp 131-134, 2008.
[7] N. M. Arifin and N. Bachok, "Effects of Control on the Onset of Marangoni-Bnard convection with Uniform Internal Heat Generation," Matematika, vol. 24, pp 23-29. 2008.
[8] Boeck, T., & Thess, A., Inertial B'enard-Marangoni convection, Journal of Fluid Mechanics, vol. 350, pp 149-175, 1997.