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THE ONEST OF DOUBLE-DIFFUSIVE CONVECTION IN A STABLY STRATIFIED FLUID LAYER HEATED FROM BELOW
Korean Journal of Chemical Engineering, January 1996, 13(1), 15-20(6), 10.1007/BF02705883
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Abstract
The time of the onset of double-diffusive convection in time-dependent, nonlinear temperature fields is investigated theoretically. The initially quiescent horizontal fluid layer with a uniform solute gradient experiences ramp heating from below, but its stable solute concentration is to reduce thermal effects which invoke convective motion. The related stability analysis is conducted on the basis of the propagation theory. Under the linear stability theory the thermal penetration depth is used as a length scaling factor and the linearized perturbation equations of similarity transform are solved numerically. The resulting correlations of the critical time to mark the onset of regular cells are derived as a function of the thermal Rayleigh and the solute Rayleigh numbers. The predicted stability criteria are apparently consistent with existing experimental results for aqueous solution of sodium chloride.
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Ostrach S, J. Fluid Eng., 105, 5 (1983)
Turner JS, "Buoyancy Effects in Fluids," Cambridge Univ. Press, Cambridge (1973)
Wankat PC, Homsy GM, Phys. Fluids, 20, 1200 (1977)
Yoon DY, Choi CK, Korean J. Chem. Eng., 6(2), 144 (1989)
Chen CF, Johnson DH, J. Fluid Mech., 138, 405 (1984)
Choi CK, Jang CS, Kim MC, Yoon DY, "Buoynacy Effects in a Volumetrically Heated Horizontal Fluid Layer," Proc. 3rd UK, National Conf. Incorporating 1st European Conf. on Thermal Sciences (Birmingham), 1, 467 (1992)
Choi CK, Shin CB, Hwang ST, "Thermal Instability in Thermal Entrance Region of Plane Couette Flow Heated Uniformly from Below," Proc. 8th Int. Heat Transfer Conf. (San Francisco), vol. 3, 1389 (1986)
Foster TD, Phys. Fluids, 8, 1249 (1965)
Howard LN, "Convection at High Rayleigh Number," Proc. 11th Int. Congress on Applied Mechanics (Munich), 1109 (1964)
Jhaveri BS, Homsy GM, J. Fluid Mech., 114, 251 (1982)
Kaviany M, Phys. Fluids, 27, 1108 (1984)
Kaviany M, J. Heat Transfer, 106, 817 (1984)
Kaviany M, Vogel M, J. Heat Transfer, 106, 776 (1986)
Lee JD, Choi CK, Shin CB, HWAHAK KONGHAK, 26(3), 330 (1988)
Nield DA, J. Fluid Mech., 29, 545 (1967)
Ostrach S, J. Fluid Eng., 105, 5 (1983)
Turner JS, "Buoyancy Effects in Fluids," Cambridge Univ. Press, Cambridge (1973)
Wankat PC, Homsy GM, Phys. Fluids, 20, 1200 (1977)
Yoon DY, Choi CK, Korean J. Chem. Eng., 6(2), 144 (1989)
