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아래로부터 균일하게 가열되는 수평 유체층에서 자연대류 및 열전달에 대한 Prandtl수의 영향
Effects of Prandtl Numbers on Natural Convection and Heat Transfer in a Horizontal Fluid Layer Heated Uniformly from Below
HWAHAK KONGHAK, June 1993, 31(3), 338-345(8), NONE
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Abstract
하부면으로부터 일정 열속으로 가열되는 초기에 정지된 유체층에서 자연대류 발생시점이 전파이론을 적용함으로서 해석되었다. 유한한 Prandtl수（0.01 <= Pr <= 100）에 대한 안정성 판별기준을 Rayleigh수와 Prandtl수의 함수로서 결정론적으로 구하였다. 열적 불안정성에 관한 이론적인 임계조건들을 난류 열대류와 연관시킴으로써, 새로운 열전달 상관 관계식이 제시되었다. 이와 같은 상관식은 기존의 실험결과들과 매우 잘 일치함을 알 수 있다.
The onset of natural convection in an initially quiescent fluid layer heated uniformly from below has been analysed by employing the propagation theory. The stability criteria for finite Prandtl numbers（0.01 <= Pr <= 100） have been obtained deterministically as a function of both the Rayleigh number and the Prandtl number. A new heat transfer correlation connecting the theoretical critical condition has been suggested. It is found that this correlation agrees reasonably well with the extant experimental data.
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Yoo JS, Choi CK, Korean J. Chem. Eng., 4(2), 128 (1987)
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Ahn DJ, Choi CK, Korean J. Chem. Eng., 5(2), 170 (1988)
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Howard LN, Proc. 11th Int. Cong. Applied MEch., pp. 1109-1115, Munich (1964)
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Gough DO, Spiegel EA, Toomre J, J. Fluid Mech., 68, 695 (1975)
Cheung FB, Int. J. Heat Mass Transf., 100, 416 (1978)
