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Mixed convection flow and heat transfer across a square cylinder under the influence of aiding buoyancy at low Reynolds numbers

机译:在低雷诺数的辅助浮力的作用下,混合对流和方筒上的传热

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摘要

In this paper, mixed convection flow and heat transfer around a long cylinder of square cross-section under the influence of aiding buoyancy are investigated in the vertical unconflned configuration (Reynolds number, Re =1-40 and Richardson number, Ri=0-1). The semi-explicit finite volume method implemented on the collocated grid arrangement is used to solve the governing equations along with the appropriate boundary conditions. The onset of flow separation occurs between Re= 1-2, between Re = 2-3 and between Re = 3-4 for Ri = 0, 0.5 and 1, respectively. The flow is found to be steady for the range of conditions studied here. The friction, pressure and total drag coefficients are found to increase with Richardson number, i.e., as the influence of aiding buoyancy increases drag coefficients increase at the constant value of the Reynolds number. The temperature field around the obstacle is presented by isotherm contours at the Prandtl number of 0.7 (air). The local and average Nusselt numbers are calculated to give a detailed study of heat transfer over each surface of the square cylinder and an overall heat transfer rate and it is found that heat transfer increases with increase in Reynolds number and/or Richardson number. The simple expressions for the wake length and average cylinder Nusselt number are obtained for the range of conditions covered in this work.
机译:本文研究了在垂直非约束构型下(雷诺数,Re = 1-40和理查森数,Ri = 0-1),在辅助浮力的影响下,长截面正方形长圆柱体周围的混合对流和传热。 )。在并置网格布置上实现的半显式有限体积方法用于求解控制方程以及相应的边界条件。对于Ri = 0、0.5和1,分别在Re = 1-2之间,在Re = 2-3之间和在Re = 3-4之间发生流动分离。在此处研究的条件范围内,发现流量稳定。发现摩擦力,压力和总阻力系数随理查森数增加而增加,即,随着辅助浮力的影响增加,阻力系数以雷诺数的恒定值增加。障碍物周围的温度场由等温线等高线表示,其Prandtl值为0.7(空气)。计算局部和平均努塞尔数以详细研究方筒每个表面上的传热和总传热速率,并且发现传热随雷诺数和/或理查森数的增加而增加。对于这项工作涵盖的条件范围,可以获得尾流长度和平均汽缸Nusselt数的简单表达式。

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