낮은 종횡비의 직각밀폐용기내의 자연대류 경계층 흐름영역에서의 코어형상에 관한 근사해석

Analysis of Natural Convection Core Configuration at Boundary Layer Flow Regime in a Low Aspect Ratio Rectangular Enclosure

본 연구에서는 낮은 종횡비의 직각밀폐용기의 경계층흐름영역에 대하여 Lee에 의해 공식적인 수학적 방법으로 얻어진 코어방정식을 기초로 코어흐름 형상을 근사해석으로 구하였으며 그 결과를 다른 연구자들의 결과와 비교, 검토하였다.

Natural convection velocity and temperature profiles are obtained approximately in the core at boundary layer flow regime for varying Prandtl number in a low aspect ratio rectangular Enclosure. Analysis is based on the formally obtained core flow equations using the multiple scales method. Results show good agreement with the existing works for $P_{r}$ ~ 1. No comparison, however, is possible yet for $P_{r}$ >> 1 and $P_{r}$ < 1 due to the lack of available date. It is shown here that boundary layer flow regimes are governed by two parameters, A $R_{a}$$^{1}$4/ and A( $P_{r}$ $R_{a}$)$^{1}$4 for $P_{R}$.geq. 1 and $P_{r}$ < 1 respectively.ely.ively.ely.y.