The onset of convection in a horizontal layer of fluid subject to time-dependent heating from below is studied both experimentally and analytically. The fluid layer is confined by a rigid boundary at the bottom and a shear-free surface at the top. The fluid, which is initially quiescent, is heated by increasing the temperature of the lower surface at a constant time-rate. The experimental observation of the time of the onset of convection is made through the sudden change in variation of the temperature of the lower surface with respect to time. The onset is also observed through the sudden change in the fringe pattern created by holographic interferometry. Various layer depths are considered in order to observe the influence of this variable on the onset time. The analytical prediction is made by application of the linear amplification theory subject to boundary conditions similar to those of the experiment. Good agreement is found between the experimental and analytical results. Comparisons are also made with the experimental and analytical results available in the literature.
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Onset of Thermal Convection in a Fluid Layer Subjected to Transient Heating From Below
M. Kaviany
M. Kaviany
Department of Mechanical Engineering, University of Wisconsin—Milwaukee, Milwaukee, Wis. 53201
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M. Kaviany
Department of Mechanical Engineering, University of Wisconsin—Milwaukee, Milwaukee, Wis. 53201
J. Heat Transfer. Nov 1984, 106(4): 817-823 (7 pages)
Published Online: November 1, 1984
Article history
Received:
July 22, 1983
Online:
October 20, 2009
Citation
Kaviany, M. (November 1, 1984). "Onset of Thermal Convection in a Fluid Layer Subjected to Transient Heating From Below." ASME. J. Heat Transfer. November 1984; 106(4): 817–823. https://doi.org/10.1115/1.3246757
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