Korean Chemical Engineering Research

The Korean Institute of Chemical Engineers (한국화학공학회)
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The Analysis of Thermal Instability and Heat Transfer Prediction in a Horizontal Fluid Layer Heated from Below

아래로부터 가열되는 수평유체층에서 열적 불안정성 해석 및 열전달 예측

Choi, Chang-Kyun;Lee, Jong-Dae;Hwang, Sun-Tak;Yoo, Jae-Soo
최창균;이종대;황선탁;유재수

  • Published : 1989.08.31

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Abstract

In the present study the onset of natural convection in an initially quiescent, horizontal fluid layer heated isothermally from below has been analysed, by employing the propagation theory. The stability analysis under the linear theory has been conducted deterministically for the limiting cases of extremely small and infinite Prandtl numbers. A new heat transfer correlation connecting the theoretical critical conditions on thermal instability to turbulent thermal convection has been suggested as a function of both the Rayleigh number and the Prandtl number. It is found that the resulting new correlation agrees well with experimental data of mercury, air, water and silicon oil.

본 연구에서는 초기에 정지된 상태로 있는 수평유체층의 밑면을 등온으로 가열할 때 자연대류의 유발시 점을 전파이론을 도입함으로써 해석하였다. 선형이론하에서 Prandtl수가 매우 클 때와 작을 때의 두 극한 경우에 대하여 안정성 해석을 결정론적으로 수행하였다. 열적 불안정성에 관한 이론적인 임계조건들을 난류 열대류와 연관시킴으로써, 새로운 열전달 상관식이 Prandtl 수와 Rayleigh 수의 함수로 제의되었다. 새로운 상관식은 수은, 공기, 물, 실리콘오일 같은 실험치들과 잘 일치한다는 것을 알 수 있었다.

Keywords

References

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