Thermal convection in a vertically-mounted, rotating annulus of special design proposed by Davies and Walin is investigated (ref. 1-3). The annulus under present study differs from the conventional type in some important aspects: the sidewalls are finitely conducting, and the thermal conductance of the sidewalls is height-dependent. The theoretical model due to Davies and Walin is briefly recounted. The present study aims at verifying the theoretical model; we have acquired numerical solutions to the governing Navier-Stokes equations. The numerical results are supportive of the theoretical contentions. The near-linear dependence of the isotherm slope on the parameter D, which is a function of ΔT and Ω, is corroborated within reasonable limits. New data on the vertical and radial structures of the meridional and azimuthal flows are presented The numerical results also confirm that the shape of the sidewall thickness has a substantial influence on the meridional flow patterns. In the bulk of the interior flow field, the dominant azimuthal flow field and the temperature field are linked by the thermal wind relation.
전형적인 형태와 달리 열용량이 높이에 따라 변화하는 수직벽을 가진 회전하는 annulus 에서의 성층현상은 수평방향의 온도차와 회전각속도에 의하여 주로 결정된다.
본 연구에서는 이론치와 수치계산 결과를 비교하여 이론이나 실험으로는 얻을 수 없는 보다 많은 정보를 얻는데 그 목적이 있다.
지배방정식의 수치해석을 통하여 정성적으로 이론치와 잘 일치함을 보여주었고, meridional circulation은 수직벽의 형태와 물성치에 의하여 영향을 받음을 알 수 있다.
