基于光滑粒子流体动力学法的流固共轭自然对流传热数值模拟

doi:10.7527/S1000-6893.2024.31185

Abstract

Abstract:

Conjugate heat transfer problems are widespread in practical engineering. Traditional methods such as the Finite Difference Method （FDM） and the Finite Volume Method （FVM） have been widely applied to solve these problems. The Smoothed Particle Hydrodynamics （SPH） method， a meshless particle method， offers advantages such as strong adaptability， suitability for analyzing complex structures， and high flexibility. Therefore， this method has seen extensive application and rapid development in fields such as ship design and geological disaster simulation. However， although there have been some applications of the SPH method in conjugate heat transfer problems， there is currently limited research on simulating heat transfer in actual engineering scenarios involving different functional materials， such as the simulation of heat transfer and heat-generating components. In view of this， we conduct numerical simulations of fluid-solid conjugate heat transfer using the SPH method. First， traditional test cases of natural convection in a closed square cavity and horizontal annular convection are simulated. Then， the focus shifts to simulating natural convection cases involving heat transfer blocks and heat-generating blocks. The results show a high degree of agreement with traditional methods， demonstrating the adaptability and accuracy of the SPH algorithm in simulating conjugate heat transfer problems involving different functional materials. Finally， the simulation of a heat sink with fin structures is carried out， analyzing the impact of parameters such as the heat transfer ratio and heat generation ratio on the cooling performance. These results verify the significant adaptability and flexibility of the SPH method in handling complex cases， providing theoretical support and practical guidance for solving complex engineering problems in the future.

Key words: numerical simulation, conjugate heat transfer, smoothed particle hydrodynamics, natural convection, fin structure

CLC Number:

V211

Hongqiang LYU, Tiancheng TANG, Chenyu BAO. Numerical simulation of fluid-solid conjugate natural convection heat transfer based on SPH method[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(5): 531185.

Figures/Tables 30

Fig.1

Fig.2

Fig.3

Fig.4

Table 1

Comparison of average Nusselt numbers at heated wall of self-heating convection in a closed square cavity

$R a$	D’‍Orazio等^［21］	de ‍Vahl ‍Davis^［22］	Barakos等^［23］	本文结果
$103$	1.117	1.118	1.114	1.117
$104$	2.235	2.243	2.245	2.252
$105$	4.504	4.519	4.510	4.518

Table 1

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Table 2

Comparison of average Nusselt numbers at heated wall of self-heating convection in a closed square cavity with a solid block

$k$	House等^［26］	Braga和de Lemos^［27］	Merrikh和Lage^［28］	本文
0.2	4.624	4.667	4.605	4.638
5.0	4.324	4.375	4.280	4.283

Table 2

Fig.11

Table 3

Comparison of average Nusselt numbers at heated wall of self-heating convection in a closed square cavity with 16 square solid blocks

$k$	Merrikh和Lage^［30］	Raji等^［31］	Karani和Huber^［32］	Lu等^［33］	本文
0.1	0.813	0.785	0.796 9	0.814 3	0.804 0
1.0	1.233	1.193	1.185 0	1.249 1	1.218 1
10.0	2.030	2.066	2.031 0	2.056 6	2.014 4
100.0	2.313	2.394	2.450 6	2.335 1	2.414 5

Table 3

Fig.12

Fig.13

Table 4

Comparison of average Nusselt numbers at heated wall of self-heating convection in a closed square cavity with 16 circle solid blocks

$k$	FVM^［29］	TLBM^［29］	本文
0.1	0.838 6	0.819 8	0.813 9
1.0	1.246 7	1.239 8	1.212 4
10.0	2.011 6	2.026 2	2.038 4
100.0	2.257 7	2.273 7	2.259 9

Table 4

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

Table 5

Comparison of average Nusselt numbers（Nuh and Nuc） at wall of self-heating convection in a closed square cavity with a solid body with heat sources

$R a$	$Δ T *$	$N u h$		$N u c$
$R a$	$Δ T *$	Ha和Jung^［35］	本文	Ha和Jung^［35］	本文
$103$	2.5	-0.077	-0.076	2.238	2.243
$103$	25.0	-11.473	-11.492	6.759	6.711
$104$	2.5	0.155	0.154	3.283	3.302
$104$	25.0	-11.101	-11.097	7.649	7.698

Table 5

Fig.19

Fig.20

Fig.21

Fig.22

Fig.23

Table 6

Maximum internal temperature of heat sink structure under different physical parameters at time t=10 when Re=102

$k$	$Δ T * = 1$	$Δ T * = 10$	$Δ T * = 100$
$0.1$	6.306	27.070	234.708
$1.0$	5.299	18.627	151.901
$10.0$	2.723	7.949	60.201
$100.0$	1.768	4.464	31.564

Table 6

Table 7

Maximum internal temperature of heat sink structure under different physical parameters at time t=10 when Re=103

$k$	$Δ T * = 1$	$Δ T * = 10$	$Δ T * = 100$
$0.1$	6.306	27.070	234.708
$1.0$	5.280	18.608	151.882
$10.0$	2.416	7.587	59.202
$100.0$	1.356	3.881	29.130

Table 7

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Numerical simulation of fluid-solid conjugate natural convection heat transfer based on SPH method

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