Oscillatory Convection in a Horizontal Porous Layer Saturated with a Viscoelastic Fluid

Do-Young Yoon; Min Chan Kim; Chang Kyun Choi

Korean Journal of Chemical Engineering, Vol.20, No.1, 27-31, January, 2003

DOI10.1007/BF02697180 Export Citation

Oscillatory Convection in a Horizontal Porous Layer Saturated with a Viscoelastic Fluid

Do-Young Yoon^†, Min Chan Kim¹, and Chang Kyun Choi²

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

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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.

Keywords:Porous Layer;Viscoelastic Liquid;Oscillatory Instabilities;Stationary Convection;Darcy-Rayleigh Number

[References]

Alisaev MG, Mirzadjanzade A, Izvestya Vuzov Neft i Gaz, 6, 71 (1975)
Caltagione JP, J. Fluid Mech., 72, 269 (1975)
Cheng P, Adv. Heat Transfer, 14, 1 (1978)
Combarnous M, Bories S, Adv. Hydrosci., 10, 231 (1975)
Horne RN, O'Sullivan MJ, J. Fluid Mech., 66, 339 (1974)
Horne RN, O'Sullivan MJ, Phys. Fluids, 21, 1260 (1978)
Horton CW, Logers FT, J. Appl. Phys., 16, 367 (1945)
Howard LN, "Convection at High Rayleigh Number," Proc. 11th Int. Cong. Appl. Mech. (Munich), 1109 (1964)
Katto Y, Masuoka T, Int. J. Heat Mass Transf., 10, 297 (1967)
Kolkka RW, Ierley GR, J. Non-Newton. Fluid Mech., 25, 209 (1987)
Lapwood ER, Proc. Camb. Phil. Soc., 44, 508 (1948)
Lee GJ, Choi CK, Kim MC, "The Onset of Convection in Viscoelastic Fluid Layers Cooled from Above," Proc. 1st Int. Conf. Transport Phenomena in Processing, 774 (1993)
Slattery JC, AIChE J., 13, 1066 (1967)
Vest CM, Arpaci VS, J. Fluid Mech., 36, 613 (1969)
Yoon DY, Choi CK, Korean J. Chem. Eng., 6(2), 144 (1989)

[Referenced By]

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[1] Alisaev MG, Mirzadjanzade A, Izvestya Vuzov Neft i Gaz, 6, 71 (1975)

[2] Caltagione JP, J. Fluid Mech., 72, 269 (1975)

[3] Cheng P, Adv. Heat Transfer, 14, 1 (1978)

[4] Combarnous M, Bories S, Adv. Hydrosci., 10, 231 (1975)

[5] Horne RN, O'Sullivan MJ, J. Fluid Mech., 66, 339 (1974)

[6] Horne RN, O'Sullivan MJ, Phys. Fluids, 21, 1260 (1978)

[7] Horton CW, Logers FT, J. Appl. Phys., 16, 367 (1945)

[8] Howard LN, "Convection at High Rayleigh Number," Proc. 11th Int. Cong. Appl. Mech. (Munich), 1109 (1964)

[9] Katto Y, Masuoka T, Int. J. Heat Mass Transf., 10, 297 (1967)

[10] Kolkka RW, Ierley GR, J. Non-Newton. Fluid Mech., 25, 209 (1987)

[11] Lapwood ER, Proc. Camb. Phil. Soc., 44, 508 (1948)

[12] Lee GJ, Choi CK, Kim MC, "The Onset of Convection in Viscoelastic Fluid Layers Cooled from Above," Proc. 1st Int. Conf. Transport Phenomena in Processing, 774 (1993)

[13] Slattery JC, AIChE J., 13, 1066 (1967)

[14] Vest CM, Arpaci VS, J. Fluid Mech., 36, 613 (1969)

[15] Yoon DY, Choi CK, Korean J. Chem. Eng., 6(2), 144 (1989)