The effects of temperature-dependent viscosity and coefficient of thermal expansion on the stability of laminar, natural convective flow along an isothermal, vertical surface
The effects of temperature-dependent viscosity and coefficient of thermal expansion on the stability of laminar, natural convective flow along an isothermal, vertical surface
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DOI：
10.1016/0017-9310(86)90067-0
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发表时间：
1986-10
影响因子：
5.2
通讯作者：
P. Sabhapathy;K. C. Cheng
中科院分区：
文献类型：
--
作者：
P. Sabhapathy;K. C. Cheng
利用Prandtl数为7~10的线性稳定性理论，研究了温度相关粘度和热膨胀系数对等温垂直表面层流自然对流边界层流动稳定性的影响。数值解表明，温度相关粘度使沿加热壁面的流动稳定，沿冷却壁面的流动失稳。温度相关的热膨胀系数最初对加热壁面的流动是稳定的，但在更远的下游，它会破坏流动的稳定。在5-35°C范围内，在不同壁温和环境温度组合下，具有等温垂直铜管(外径41.3 mm，长度1 m)的水中的流动可视化研究支持数值预测。
The effects of temperature-dependent viscosity and coefficient of thermal expansion on the stability of laminar, natural convective boundary-layer flow of a liquid along an isothermal, vertical surface are studied employing linear stability theory for Prandtl numbers 7–10. Numerical solutions indicate that the temperature-dependent viscosity stabilizes the flow along a heated wall and destabilizes it along a cooled wall. The temperature-dependent coefficient of thermal expansion initially stabilizes the flow for a heated wall but farther downstream it destabilizes the flow. Flow visualization studies in water with an isothermal, vertical copper pipe (outside diameter 41.3mm and length 1 m) for various combinations of wall and ambient temperatures in the range 5–35°C support the numerical predictions.