Investigation on the natural convection in horizontal concentric annulus using the variable property-based lattice Boltzmann flux solver

Investigation on the natural convection in horizontal concentric annulus using the variable property-based lattice Boltzmann flux solver
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使用基于可变属性的格子玻尔兹曼通量求解器研究水平同心环中的自然对流

DOI:
10.1016/j.ijheatmasstransfer.2017.04.071
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发表时间:
2017-08
影响因子:
5.2
通讯作者:
Zhang Yu
Zhang Yu
中科院分区:
工程技术2区
文献类型:
--
作者:
Cao Yuhui;Zhang Yu

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利用最近提出的基于变性质的晶格玻尔兹曼通量求解器(VPLBFS)对等温壁面水平同心环内的自然对流进行了数值研究。采用简化版和标准版VPLBFS分别获得了广受关注的恒定性质解(CPS)和考虑流体性质总变化的实解(VPS)。讨论了流体性质总变化对流型和换热率的整体影响,并在大温差比范围内量化了CPS与实际解的偏差。然后,通过使用各种简化版本的VPLBFS,获得了几种常见的具有部分流体性质变化(p - vps)的解决方案。通过对p - vps和CPS的比较,讨论了流体性质部分变化的个别影响。发现个体效应取决于个体,但当施加较大的温差比时,这些个体效应都不能很好地近似于流体性质总变化的积分效应。本文给出了水平同心环空自然对流换热的真实解,并证明了在研究布辛尼斯克近似无效的热流问题时考虑流体性质总变化的必要性。
The natural convection in horizontal concentric annulus with isothermal walls is studied numerically by using the recently-proposed variable property-based lattice Boltzmann flux solver (VPLBFS). The widely-concerned constant property solution (CPS) and the real solution (VPS) in which the total variation in fluid properties is considered, are obtained by using the simplified version and the standard version of the VPLBFS, respectively. The integral effect of the total variation in fluid properties on flow patterns and heat transfer rates is discussed, and the deviation of the CPS from the real solution is quantified in a wide range of temperature difference ratio. Then, several commonly-reported solutions with partial variation in fluid properties (P-VPSs) are obtained by using various simplified versions of the VPLBFS. The individual effects of partial variation in fluid properties are discussed through the comparison between the P-VPSs and the CPS. It is found that the individual effects depend on individuals, but none of which can be regarded as a good approximation to the integral effect of the total variation in fluid properties as a large temperature difference ratio is imposed. The present work gives the real solution for the natural convection heat transfer in horizontal concentric annulus and demonstrates the necessity of considering the total variation in fluid properties in the study about thermal flow problems in which the Boussinesq approximation is invalid.
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