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밑면이 일정 열속으로 가열되는 평판 Poiseuille 흐름의 열 도입부에서의 대류 불안정성
Convective Instability in the Thermal Entrance Region of Plane Poiseuille Flow Heated Uniformly from Below
HWAHAK KONGHAK, April 1992, 30(2), 139-146(8), NONE
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Abstract
밑면이 일정 열속으로 가열되는 평판 Poiseuille 흐름이 열 도입부에서 부력에 의하여 유발되는 자연 대류의 발생 조건을 전파 이론을 적용하여 해석하였다. 해석 결과 본 연구에서 고려되는 계에서 자연 대류 현상을 지배하는 인자는 Re/Gz4/3임을 알 수 있었다. 물(Pr=7)과 공기(Pr=0.7)에 대하여 해석 결과와 기존의 실험 결과를 비교하여 보면, 본 연구의 해석 결과가 매우 합리적임을 알 수 있다. 자연 대류 발생 조건의 Prandtl수에 따른 의존성을 살펴보면, Prandtl 수가 작아질수록 계는 더 안정해지는 결과를 얻었으며 이는 기존의 실험결과와 일치하는 경향이다.
Critical conditions of buoyancy driven convection in the thermal entrance region of plane Poiseui-lle flwo heated uniformly from below are analysed by employing propagation theory. From the results of analysis, it is known that the important parameter governing the natural convection phenomena of present system is Ra/Gz4/3. Comparison of results of the present study and the existing experimental data for water (Pr=7) and air(Pr=0.7) shows that the present theory is very reasonable. It is found that the system becomes more stalbe as Prandtl number decrease, and therefore the dependence of critical conditions on the Prandtl number is consistent with the experimental trend.
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Choi CK, Kim MC, Proc. 9th Int. Heat Transfer Conf., Jerusalem, Vol. 2, p. 519 (1990)
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Maughan JR, Incropera FP, Experiments Fluids, 5, 334 (1987)
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Kim MC, Choi CK, Davis EJ, Int. J. Eng. Fluid Mech., 3, 71 (1990)
Yoon DY, Choi CK, Korean J. Chem. Eng., 6(2), 144 (1989)
