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Convective heat transfer in suspensions of prolate ellipsoids
International Journal of Heat and Mass Transfer ( IF 5.0 ) Pub Date : 2021-06-18 , DOI: 10.1016/j.ijheatmasstransfer.2021.121575
Z. Cao , D.K. Tafti

Particle Resolved Simulations (PRS) using the Immersed Boundary Method (IBM) are performed for flow through suspensions of ellipsoids with aspect ratios of 2.5, 5, and 10 for solid volume fractions from 0.1 to 0.3 in the Reynolds number range from 10 to 200. The mean Nusselt number increases as Re1/2but shows only a weak dependence on the aspect ratio while increasing between 10-15% with an increase in solid fraction from 0.1 to 0.3. Two common practices of calculating Nusselt number in past literature are reconciled. It is shown that the suspension mean Nusselt number based on individual particles, by definition is always greater than or at the least equal to the Nusselt number based on the internal developing flow analogy. It is established that for Re50, the suspension heat transfer coefficient is very sensitive to the spatial distribution of particles or local-to-particle solid fractions. For the same mean solid fraction, suspensions dominated by particle clusters or high local solid fractions can exhibit Nusselt numbers which are lower than the minimum Nusselt number imposed by pure conduction on a single particle in isolation. This results from the dominant effect of thermal wakes at low Reynolds numbers. As the Reynolds number increases to 100 and beyond, the effect of particle clusters on heat transfer becomes less consequential. Unlike heat transfer, particle clustering has a less significant effect on mean fluid forces such as drag.



中文翻译:

长椭圆体悬浮液中的对流传热

使用浸入边界法 (IBM) 的粒子分辨模拟 (PRS) 用于流经长宽比为 2.5、5 和 10 的椭球悬浮液,固体体积分数从 0.1 到 0.3,雷诺数范围从 10 到 200。平均努塞尔数增加为 电阻电子1/2但仅显示出对纵横比的微弱依赖性,同时随着固体分数从 0.1 增加到 0.3,增加了 10-15%。调和了过去文献中计算努塞尔数的两种常见做法。结果表明,悬浮液平均基于单个粒子的努塞尔数,根据定义,总是大于或至少等于基于内部发展流类比的努塞尔数。可以确定的是,对于电阻电子50,悬浮传热系数对颗粒或局部到颗粒固体部分的空间分布非常敏感。对于相同的平均固体分数,以粒子簇或高局部固体分数为主的悬浮液可以表现出低于单独单个粒子的纯传导施加的最小努塞尔数的努塞尔数。这是由于低雷诺数下热尾流的主要影响所致。随着雷诺数增加到 100 及以上,粒子簇对传热的影响变得不那么重要。与传热不同,粒子簇对平均流体力(如阻力)的影响较小。

更新日期:2021-06-18
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