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FLOW REVERSAL IN MIXED CONVECTION IN VERTICAL CONCENTRIC ANNULI

机译:在垂直同心anuli中的混合对流中的流动逆转

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The main purpose of this article is to shed more light on the cause of flow reversal in vertical concentric annular channels for buoyancy-aided flows under isothermal boundary conditions. The concept used to quantify the critical values of the modified buoyancy parameter (Gr/Re)_(critical) at which the adverse pressure gradient first occurs is outlined and applied to analytically estimate these critical values. The conditions for flow reversal are also analytically obtained for buoyancy aided and buoyancy-opposed flows. The analytical solutions show that pressure buildup takes place only for buoyancy-aided flows while flow reversal occurs for both buoyancy-aided and buoyancy-opposed flows. The analytical solutions reveal also that values of the buoyancy-parameter required to initiate the pressure buildup for buoyancy-aided flows in the vertical annuli are smaller than those required to initiate the flow reversal. Thus, for buoyancy aided flows, pressure buildup would precede the flow reversal. A numerical scheme is developed and used to simulate the development of pressure and pressure gradient in the entrance region of the vertical concentric annuli. The numerical scheme is validated by the analytical solution as well as the previously published pertinent results. Numerical results that show the pressure buildup in the developing entry region of the annuli for values of the modified buoyancy parameter (Gr/Re) greater than its critical values (Gr/Re)_(critical) along with other flow and heat transfer parameters of importance are also presented and discussed. The locations of pressure build up as well as those of flow reversal have been obtained and reported. The numerical solutions show clearly that pressure buildup for buoyancy-aided flows takes place prior to the flow reversal onset.
机译:本文的主要目的是在等温边界条件下垂直同心环形通道中的流动反转原因揭示了垂直同心环形通道的原因。用于量化修改的浮力参数(GR / RE)_(临界)的临界值的概念概述了概述并应用于分析估计这些临界值。对于浮力辅助和浮力相对的流动,还可以分析流动反转的条件。分析解决方案表明,由于浮力辅助和浮力相对的流动,仅发生浮力辅助流动的压力累积。分析解决方案还揭示了启动垂直载荷中的浮力辅助流动的压力堆积所需的浮力参数的值小于启动流反转所需的压力堆积。因此,对于浮力辅助流动,压力累积将在流量逆转之前。开发了一种数值方案并用于模拟垂直同心云的入口区域中的压力和压力梯度的发展。分析解决方案验证了数值方案以及先前发布的相关结果。在临界值(GR / RE)_(临界)以及其他流量和传热参数以及其他流量和传热参数的改进的浮力参数(GR / RE)的显影入口区域中显示云的显影入口区域中的压力积累的数值结果还提出和讨论了重要性。已经获得并报告了压力积聚的位置以及流动反转的位置。数值解决方案清楚地显示出浮力辅助流动的压力堆积在流量反转发作之前发生。

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