Forced Convection Heat Transfer From a Particle at Small and Large Peclet Numbers
Forced Convection Heat Transfer From a Particle at Small and Large Peclet Numbers
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DOI：
10.1115/1.4046590
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发表时间：
2018-11
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影响因子：
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通讯作者：
Esmaeil Dehdashti;Hassan Masoud
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文献类型：
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作者：
Esmaeil Dehdashti;Hassan Masoud
本文从理论上研究了均匀层流中单个颗粒的强制对流换热。小的和大的Peclet数Pe的渐近极限被认为是。对于Pe 1（扩散为主的制度）和恒定的热通量的颗粒表面上的边界条件，我们推导出一个封闭形式的表达式的传热系数是有效的任意颗粒形状和雷诺数，只要流是不可压缩的。值得注意的是，我们的平均努塞尔数Nu的公式与Brenner在均匀温度边界条件下获得的公式具有相同的形式（Chem.Eng.Sci.，第18卷，1963年，第18页。109-122）。我们还提出了一个框架，用于计算平均Nu的轴对称和二维（2D）物体的恒定的热通量表面条件的限制Pe 1和小或中等的雷诺数。具体的结果，从球形颗粒在斯托克斯流的传热。
We theoretically study forced convection heat transfer from a single particle in uniform laminar flows. Asymptotic limits of small and large Peclet numbers Pe are considered. For Pe≪1 (diffusion-dominated regime) and a constant heat flux boundary condition on the surface of the particle, we derive a closed-form expression for the heat transfer coefficient that is valid for arbitrary particle shapes and Reynolds numbers, as long as the flow is incompressible. Remarkably, our formula for the average Nusselt number Nu has an identical form to the one obtained by Brenner for a uniform temperature boundary condition (Chem. Eng. Sci., vol. 18, 1963, pp. 109–122). We also present a framework for calculating the average Nu of axisymmetric and two-dimensional (2D) objects with a constant heat flux surface condition in the limits of Pe≫1 and small or moderate Reynolds numbers. Specific results are presented for the heat transfer from spheroidal particles in Stokes flow.