Flow and Heat Transfer Characteristics and Structure Optimization of Helically Corrugated Tubes Based on Kriging Model

doi:10.12068/j.issn.1005-3026.2024.07.011

Abstract

Abstract:

Building on the helical tube heat exchanger integrated with a corrugated structure， a novel type of helically corrugated tube heat exchanger is designed. Numerical simulations are conducted to investigate the effects of varying corrugation depths and pitches on flow and heat transfer performance. After the Kriging model is trained with numerical computation results， it can then predict the flow and heat transfer characteristics of a larger number of helically corrugated tube samples with different structure features. The structural parameter with a lower friction coefficient and a higher heat transfer efficiency are screened to optimize the heat transfer characteristics. The results indicate that the sudden change in the flow velocity generated by the corrugated structure and the secondary flow generated by the helical structure improve both heat transfer efficiency and flow resistance. The Kriging model has higher accuracy and efficiency in predicting the heat transfer characteristics. In the selected range of structural parameters， the helically corrugated tubes have a lower friction coefficient and a higher heat transfer efficiency when the corrugation depth， corrugation pitch， helical diameter， and helical pitch are 1.32， 27.99， 86.49， 57.85 mm， respectively.

Key words: helically corrugated tube, numerical simulation, heat transfer, Kriging model, optimal design

CLC Number:

TK 172

Zhi-qun ZHENG, Xian-zhen HUANG, Zhi-yuan JIANG, Xing-lin MIAO. Flow and Heat Transfer Characteristics and Structure Optimization of Helically Corrugated Tubes Based on Kriging Model[J]. Journal of Northeastern University(Natural Science), 2024, 45(7): 992-1001.

Figures/Tables 13

References 27

1	于庆波，彭家燕，任慧来，等.颗粒绕流圆管传热的数值模拟研究［J］.东北大学学报（自然科学版），2016，37（5）：663-667.
	Yu Qing‑bo， Peng Jia‑yan， Ren Hui‑lai，et al.Numerical simulation research on heat transfer in particle flow round tubes［J］.Journal of Northeastern University（Natural Science），2016，37（5）：663-667.
2	Liu S L， Sakr M.A comprehensive review on passive heat transfer enhancements in pipe exchangers［J］.Renewable and Sustainable Energy Reviews，2013，19：64-81.
3	马鹏程，唐志国，刘轻轻，等.新型单圆锥体热沉单孔射流散热数值模拟［J］.机械工程学报，2016，52（24）：136-141.
	Ma Peng‑cheng， Tang Zhi‑guo， Liu Qing‑qing，et al.Numerical simulation of characteristic of heat transfer for jet impingement with new single cone heat sink through single spray nozzle［J］.Journal of Mechanical Engineering，2016，52（24）：136-141.
4	Zheng Z Q， Yan F Y， Shi L.Numerical study on heat transfer and flow resistance characteristics of multi‑head twisted spiral tube［J］.Thermal Science（Part C），2022，26：1880-1895.
5	Gokulnathan E， Pradeep S， Jayan N，et al.Review of heat transfer enhancement on helical coil heat exchanger by additive passive method［J］.Materials Today：Proceedings，2021，37：3024-3027.
6	Wang M L， Zheng M G， Chao M K，et al.Experimental and CFD estimation of single‑phase heat transfer in helically coiled tubes［J］.Progress in Nuclear Energy，2019，112：185-190.
7	陈迁乔，钟秦.螺旋管内对流传质场协同强化模拟［J］.化工学报，2012，63（12）：3764-3770.
	Chen Qian‑qiao， Zhong Qin.Simulation on field synergy enhancement for convective mass transfer in helical tube［J］.CIESC Journal，2012，63（12）：3764-3770.
8	Cioncolini A， Santini L.On the laminar to turbulent flow transition in diabatic helically coiled pipe flow［J］.Experimental Thermal and Fluid Science，2006，30（7）：653-661.
9	Moulin P， Rouch J C， Serra C，et al.Mass transfer improvement by secondary flows：Dean vortices in coiled tubular membranes［J］.Journal of Membrane Science，1996，114（2）：235-244.
10	Moulin P， Veyret D， Charbit F.Dean vortices：comparison of numerical simulation of shear stress and improvement of mass transfer in membrane processes at low permeation fluxes［J］.Journal of Membrane Science，2001，183（2）：149-162.
11	Seban R A， McLaughlin E F.Heat transfer in tube coils with laminar and turbulent flow［J］.International Journal of Heat and Mass Transfer，1963，6（5）：387-395.
12	Pawar S S， Sunnapwar V K.Experimental studies on heat transfer to Newtonian and non‑Newtonian fluids in helical coils with laminar and turbulent flow［J］.Experimental Thermal and Fluid Science，2013，44：792-804.
13	Gee D L， Webb R L.Forced convection heat transfer in helically rib‑roughened tubes［J］.International Journal of Heat and Mass Transfer，1980，23（8）：1127-1136.
14	Mimura K， Isozaki A.Heat transfer and pressure drop of corrugated tubes［J］.Desalination，1977，22（1）：131-139.
15	Kareem Z S， Mohd Jaafar M N， Lazim T M，et al.Passive heat transfer enhancement review in corrugation［J］.Experimental Thermal and Fluid Science，2015，68：22-38.
16	Córcoles‑Tendero J I， Belmonte J F， Molina A E，et al.Numerical simulation of the heat transfer process in a corrugated tube［J］.International Journal of Thermal Sciences，2018，126：125-136.
17	Zachár A.Analysis of coiled‑tube heat exchangers to improve heat transfer rate with spirally corrugated wall［J］.International Journal of Heat and Mass Transfer，2010，53：3928-3939.
18	Andrade F， Moita A S， Nikulin A，et al.Experimental investigation on heat transfer and pressure drop of internal flow in corrugated tubes［J］.International Journal of Heat and Mass Transfer，2019，140：940-955.
19	Rainieri S， Bozzoli F， Cattani L，et al.Compound convective heat transfer enhancement in helically coiled wall corrugated tubes［J］.International Journal of Heat and Mass Transfer，2013，59：353-362.
20	Rainieri S， Bozzoli F， Pagliarini G.Experimental investigation on the convective heat transfer in straight and coiled corrugated tubes for highly viscous fluids：preliminary results［J］.International Journal of Heat and Mass Transfer，2012，55：498-504.
21	Bozzoli F， Cattani L， Rainieri S.Effect of wall corrugation on local convective heat transfer in coiled tubes［J］.International Journal of Heat and Mass Transfer，2016，101：76-90.
22	Zaboli M， Nourbakhsh M， Ajarostaghi S S M.Numerical evaluation of the heat transfer and fluid flow in a corrugated coil tube with lobe‑shaped cross‑section and two types of spiral twisted tape as swirl generator［J］.Journal of Thermal Analysis and Calorimetry，2020，147：999-1015.
23	Fouda A， Nada S A， Elattar H F，et al.Thermal performance modeling of turbulent flow in multi tube in tube helically coiled heat exchangers［J］.International Journal of Mechanical Sciences，2018，135：621-638.
24	Zhang C C， Wang D B， Xiang S，et al.Numerical investigation of heat transfer and pressure drop in helically coiled tube with spherical corrugation［J］.International Journal of Heat and Mass Transfer，2017，113：332-341.
25	Vicente P G， Garcı́a A， Viedma A.Experimental investigation on heat transfer and frictional characteristics of spirally corrugated tubes in turbulent flow at different Prandtl numbers［J］.International Journal of Heat and Mass Transfer，2004，47（4）：671-681.
26	Echard B， Gayton N， Lemaire M，et al.A combined importance sampling and Kriging reliability method for small failure probabilities with time‑demanding numerical models［J］.Reliability Engineering & System Safety，2013，111：232-240.
27	Helton J C， Davis F J.Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems［J］.Reliability Engineering & System Safety，2003，81：23-69.

变量	分布	分布下限/mm	分布上限/mm
e	均匀	1	2
P	均匀	25	35
D	均匀	85	115
L	均匀	40	60

变量	分布	分布下限/mm	分布上限/mm
e	均匀	1	2
P	均匀	25	35
D	均匀	85	115
L	均匀	40	60

f		E_a(Nu)	E_r(Nu)/%	E_a(f )/%	E_r(f )/%
Kriging	数值计算	E_a(Nu)	E_r(Nu)/%	E_a(f )/%	E_r(f )/%
0.107 49	0.117 31	-7.857	-1.87	-0.98	-8.37
0.078 22	0.078 96	20.727	5.55	-0.07	-0.93
0.099 26	0.099 53	2.700	0.67	-0.02	-0.26
0.104 44	0.104 85	1.232	0.30	-0.04	-0.38
0.120 37	0.124 21	-4.525	-1.06	-0.38	-3.09
0.084 02	0.082 98	-11.82	-2.96	0.10	1.26
0.120 48	0.122 95	-14.23	-3.25	-0.24	-2.01
0.092 99	0.095 98	-7.410	-1.77	-0.29	-3.11
0.077 67	0.077 51	-1.002	-0.25	0.01	0.21
0.100 45	0.099 75	13.982	3.58	0.07	0.70

f		E_a(Nu)	E_r(Nu)/%	E_a(f )/%	E_r(f )/%
Kriging	数值计算	E_a(Nu)	E_r(Nu)/%	E_a(f )/%	E_r(f )/%
0.107 49	0.117 31	-7.857	-1.87	-0.98	-8.37
0.078 22	0.078 96	20.727	5.55	-0.07	-0.93
0.099 26	0.099 53	2.700	0.67	-0.02	-0.26
0.104 44	0.104 85	1.232	0.30	-0.04	-0.38
0.120 37	0.124 21	-4.525	-1.06	-0.38	-3.09
0.084 02	0.082 98	-11.82	-2.96	0.10	1.26
0.120 48	0.122 95	-14.23	-3.25	-0.24	-2.01
0.092 99	0.095 98	-7.410	-1.77	-0.29	-3.11
0.077 67	0.077 51	-1.002	-0.25	0.01	0.21
0.100 45	0.099 75	13.982	3.58	0.07	0.70

名称	e/mm	P/mm	D/mm	L/mm	Nu	f
Kriging模型优化结果	1.32	27.99	86.49	57.85	427.66	0.109 1
优化结果的数值计算值	1.32	27.99	86.49	57.85	421.45	0.106 6