Forced convective heat transfer around spherical aerostat based on M-L transition model

doi:10.11949/0438-1157.20191105

Abstract

Abstract:

The forced convective heat transfer is an important aspect of the thermal control of near-space aerostats and it is well known that the flow state (laminar or turbulent) has a significant impact on it. Currently, most numerical studies on forced convective heat transfer are conducted using the Reynolds-averaged Navier-Stokes equations, for example, the Spalart-Allmaras (SA) model, k-ε model, k-ω model, and the shear-stress transport k-ω model. However, these turbulent models consider the flow state as a fully developed turbulence and the transition process is not taken into account, which may lead to imprecise simulation results. Therefore, an appropriate method is needed to simulate the transition process. In this study, the M-L transition model is used and its applicability is verified by comparing the pressure coefficient around a spherical aerostat obtained from different turbulent models with those from experimental data of the literature. The numerical simulation is carried out using the fluid dynamic software CFX with the Reynolds number ranging from 10⁶ to 10⁸. The average Nusselt number is obtained and a new correlation of Nu for the forced convective heat transfer around a spherical aerostat is proposed.

Key words: forced convective heat transfer, thermodynamics, M-L transition model, transition process, turbulent flow, thermodynamics process

摘要：

外表面强迫对流换热是影响临近空间浮空器热控的重要因素，而流体的流动状态对强迫对流换热具有十分重要的影响。目前对浮空器外表面强迫对流换热的仿真研究多采用雷诺时均方程，将流动作为全湍流进行计算，且并未考虑转捩现象的影响。为了研究转捩现象对强迫对流换热的影响，首先通过在Reynolds数为1.14×10⁶情况下采用M-L转捩模型球体浮空器绕流得到的结果与实验结果以及采用Shear Stress Transfer（SST）k-ω、k-ε模型模拟结果进行对比分析，验证了M-L转捩模型在模拟球体浮空器强迫对流换热时的优越性。在验证数值模拟方法的基础上，分析了Reynolds数对球体浮空器强迫对流换热的影响。基于数值模拟得到的结果，在Reynolds数为10⁶～10⁸的范围内，拟合得到了球体浮空器强迫对流换热关系式。

关键词: 强迫对流换热, 热力学, M-L模型, 转捩过程, 湍流, 热力学过程

CLC Number:

V 247

Houju PEI, Yanlong JIANG, Hong SHI, Yonglong CUI, Changdong CHEN, Xiaohui QIAN. Forced convective heat transfer around spherical aerostat based on M-L transition model[J]. CIESC Journal, 2020, 71(S1): 136-141.

裴后举, 蒋彦龙, 施红, 崔永龙, 陈常栋, 钱晓辉. 基于M-L湍流模型的浮空器强迫对流换热[J]. 化工学报, 2020, 71(S1): 136-141.

Figures/Tables 7

Fig.1 Schematic diagram of computational domain

Fig.2 Schematic diagram of mesh of plane Y=0

Fig.3 Schematic diagram of flow of plane Y=0

Fig.4 Distribution of Cpon a spherical outer surface at Re=1.14×106 for different models

Table 1 Influence of number of grids on Nu

Reynolds数	网格数量/个	Nusselt数
10⁶	120万	352.99
	270万	353.20
	480万	354.03
10⁷	120万	739.04
	270万	750.30
	480万	763.37
10⁸	120万	1079.71
	270万	1102.18
	480万	1133.78

Fig.5 Relationship between Nu and Re

Fig.6 Comparison of Nu value obtained in this study and from literature

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