Building on the work of Yang et al. in 2011, the finite difference method and the Boussinesq approximation were applied to solve the time‐dependent Navier‐Stokes, convection diffusion and continuity equations in spherical coordinates. An idealized condition, the mass transfer from a neutrally buoyant sphere in a horizontal simple shear flow with natural convection was numerically simulated for the first time in this work. In the hybrid transfer case, the outwardly spiraling streamlines enhanced the transfer process, but the counter‐gravity spiraling streamlines near the sphere hindered the natural convection and the spatial dilution action weakened the natural convection transfer process. These competing effects led to nonmonotonic behavior of the Nusselt number with Reynolds number. Results from these previously undocumented cases were summarized into correlations for predicting Nusselt numbers at finite Reynolds numbers for various Grashof and Prandtl numbers. © 2018 American Institute of Chemical Engineers AIChE J, 64: 2816–2827, 2018

中文翻译：

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通过简单的剪切流中自然对流和强迫对流的混合从中性浮力球传热/传质

以Yang等人的工作为基础。2011年，应用有限差分法和Boussinesq逼近法求解了球坐标系下随时间变化的Navier-Stokes，对流扩散和连续性方程。在这项工作中，首次在理想条件下，在自然对流的水平简单剪切流中，从中性浮力球体传出的质量进行了数值模拟。在混合传递情况下，向外螺旋流线增强了传递过程，但球体附近的反重力螺旋流线阻碍了自然对流，而空间稀释作用削弱了自然对流传递过程。这些竞争效应导致Nusselt数与Reynolds数的非单调行为。将这些先前未记录的案例的结果汇总为相关性，以预测各种Grashof和Prandtl数在有限雷诺数下的Nusselt数。©2018美国化学工程师学会AIChE J，64：2816–2827，2018