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首页> 外文期刊>International Journal of Heat and Mass Transfer >Buoyant convection in a vertical cylinder with azimuthally- varying sidewall temperature
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Buoyant convection in a vertical cylinder with azimuthally- varying sidewall temperature

机译：侧壁温度随方位角变化的垂直圆柱体中的浮力对流

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摘要

A numerical investigation is made of three-dimensional natural convection of a Boussinesq-fluid in a vertically- mounted cylindrical container. The boundary conditions are such that the wall temperature θ_Σ is inhomogeneous in the horizontal azimuthal direction but increases in the vertical direction. Interest is confined to flows with globally- stable stratifications and with substantial azimuthal variations in thermal boundary conditions. Comprehensive numerical solutions to the Navier-Stokes equations are obtained. A variety of specific thermal boundary conditions are considered for detailed examination. Flow characteristics are described in broad ranges of principal nondimensional parameters, i.e., the vertical and horizontal Rayleigh numbers, the container aspect ratio and the Prandtl number. Three-dimensional flow patterns are constructed. For large Rayleigh numbers, the azimuthal inhomogeneity of boundary conditions is absorbed in the boundary layers. In the interior core, flow is determined mostly by the azimuthally-averaged temperature boundary condition. Exemplifications are made for two cases: (l) when 0I is vertically uniform, and (2) when θ_Σ is a linear function of height. For both cases, the interior core is stably-stratified, and on the planes of constant height, horizontal motions are present. Vertical and horizontal profiles of major flow variables are plotted. The explicit effect of increasing the vertical gradient of θΣ on the global flow structure is delineated.
机译：在垂直安装的圆柱形容器中，对Boussinesq流体的三维自然对流进行了数值研究。边界条件使得壁温度θ_Σ在水平方位方向上不均匀，而在垂直方向上增加。兴趣仅限于具有全局稳定分层和热边界条件发生较大方位角变化的流动。获得了Navier-Stokes方程的综合数值解。考虑了各种特定的热边界条件以进行详细检查。在主要的无量纲参数的广泛范围内，即垂直和水平瑞利数，容器长宽比和普朗特数，描述了流动特性。构造了三维流动模式。对于较大的瑞利数，边界条件的方位不均匀性被吸收在边界层中。在内部核心中，流量主要取决于方位角平均温度边界条件。对两种情况进行了示例：（1）当0I在垂直方向上是均匀的；（2）当θ_Σ是高度的线性函数时。在这两种情况下，内芯均稳定地分层，并且在恒定高度的平面上存在水平运动。绘制了主要流量变量的垂直和水平轮廓。描绘了增加θΣ垂直梯度对整体流结构的显式影响。

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