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최대밀도점 부근의 순수한 찬물속에 잠겨있는 경사등온 벽면근처의 자연대류에 관한 수동력학적 안정성의 연구
문성기,황영규,장명륜 嶺南大學校 工業技術硏究所 1989 연구보고 Vol.17 No.2
The Hydrodynamic stability equations for natural cenvection flows adjacent to a inclined iso-thermal surface in cold pure water, constitute a two-point-boundary-value (eigenvalue) problem, which was solved numerically using the simple shooting (code-BOUNDS) and orthogonal collocation (code-COLSYS) method. We found the neutral stability curves and eigenvectors. It is possible from the numerical results to predict the physical conditions on neutral stability of the base flow generated by natural convection abjacent to a inclined isothermal plate in cold pure water.
순수한 찬물속에 잠겨있는 경사진 등온벽면 부근의 자연대류에 관한 수동력학적 안정성
황영규,장명륜,Hwang, Y.K.,Jang, M.R. 대한설비공학회 1990 설비공학 논문집 Vol.2 No.4
Hydrodynamic stability equations are formulated for natural convection flows adjacent to a heated or cooled, inclined, isothermal surface in pure water at $4^{\circ}C$, where the density variation with temperature becomes nonlinear. The resulting stability equations, when reduced to ordinary differential equations by a similarity transformation, constitute a two-point boundary-value problem, which was solved numerically. It is found from the obtained stability results that the neutral stability curves are systematically shifted to have lower critical Grashof numbers, as the inclination angle of upward-facing plate increases. Also, the nose of the neutral stability curve becomes blunter as the angle increases. It implies that the greater the inclination of the upward-facing plate, the more susceptible of the flow to instability for the wide range of disturbance wave number and frequency.
$4degC$ 물에 잠겨있는 경사진 등온 벽주위 비평행 자연대류의 파형 안정성
황영규,장명륜 대한기계학회 1991 대한기계학회논문집 Vol.15 No.2
A wave instability problem is formulated for natural convection flows adjacent to a inclined isothermal surface in pure water near the density extremum. It accounts for the nonparallelism of the basic flow and temperature fields. Numerical solutions of the hydrodynamic stability equations constitute a two-point boundary value problem which are accurately solved using a computer code COLSYS. Neutral stability results for Prandtl number of 11.6 are obtained for various angles of inclination of a surface in the range from-10 to 30 deg. The neutral stability curves are systematically shifted toward modified Grashof number G=0 as one proceeds from downward-facing inclined plate(.gamma.<0.deg.) to upward-facing inclined plate (.gamma.>0.deg.). Namely, an increase in the positive angle of inclination always cause the flows to be significantly more unstable. The present results are compared with the results for the parallel flow model. The nonparallel flow model has, in general, a higher critical Grashof number than does the parallel flow model. But the neutral stability curves retain their characteristic shapes.