Thermal Instability and Heat Transfer Correlations of Laminar Flow over Isothermal Horizontal Flat Plate

등온 수평 평판 위를 지나는 층류유동 의 열적 불안전성 및 열전달 상관관계

An analysis on the thermal instability of horizontal Blasius flow in the form of longitudinal vortices has been carried out by introducing the 3-dimensional spatial dependence of the disturbance quantities. The stability problem has been simplified significantly by considering the limiting case of infinite Prandtl number and by skilfully replacing the boundary conditions at infinity with the interface conditions at the edge of the thermal boundary layer (or by simply confining the thermal disturbances in the thermal boundary layer). The advantage of this approach is that the critical values marking the onset of thermal instability can be readily obtained as solutions of the eigenvalues problems formulated by a 6*6(or a 5*5) determinant. Present analysis provides reasonable explanations on the existing experimental and theoretical data. Especially, the heat transfer correlation based on the present analysis agrees well with the existing experimental data.

본 연구의 목적은 수평 Blasius유동의 열적 불안정성 문제에서 유동방향 좌표 에도 의존하는 교란양을 최초로 도입함으로써 보다 합리적인 안정성 해석을 수행하고 그 결과를 기존의 실험적 및 이론적인 자료들과 비교하며 이를 토대로 한 보다 실제적 인 열전달 상관관계를 얻고자 하는데 있다.