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Received October 17, 2002
Accepted December 11, 2002
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Oscillatory Convection in a Horizontal Porous Layer Saturated with a Viscoelastic Fluid
Department of Chemical Engineering, Kwangwoon University, Seoul 139-701, Korea 1Department of Chemical Engineering, Cheju National University, Cheju 690-756, Korea 2School of Chemical Engineering, Seoul National University, Seoul 151-742, Korea
Korean Journal of Chemical Engineering, January 2003, 20(1), 27-31(5), 10.1007/BF02697180
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Abstract
When a horizontal porous layer saturated with a viscoelastic liquid is heated from below, the onset conditions of thermal convection are found to be functions of Darcy-Rayleigh number, wave number, and viscoelastic properties. In this study, the linear stability was studied analytically in order to investigate the viscoelastic effects of saturated liquids on the onset conditions in connection with oscillatory instabilities at the threshold of stationary convection. It is suggested that the resulting oscillatory instabilities occur at lower values of Darcy-Rayleigh number than the critical value for the stationary convection. From the occurrence of oscillatory instabilities of viscoelastic liquid, it is expected that the periodic motion should be replaced by stationary modes in a horizontal porous layer.
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References
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