Abstract
In this work, a tube with internal helical fins is analyzed and optimized from an entropy generation point of view. Helical fins, in addition to providing heat transfer enhancements, have the potential to level the temperature of the tube under nonuniform circumferential heating. In this work, the geometric parameters of internal helical fins are optimized under two different entropy-based formulations. Specifically, the optimal design solution obtained through the minimization of total entropy is compared with the solutions from the multiobjective optimization of the thermal and viscous entropy contributions when considered as two separate objectives. The latter quantities being associated with heat transfer and pressure drops, it is shown that, from a design optimization point of view, it is important to separate both entropies which are conflicting objectives.
Issue Section:
Heat Transfer Enhancement
References
1.
Maradiya
,
C.
,
Vadher
,
J.
, and
Agarwal
,
R.
, 2018
, “
The Heat Transfer Enhancement Techniques and Their Thermal Performance Factor
,” Beni-Suef Univ. J. Basic Appl. Sci.
,
7
(1
), pp. 1
–21
.10.1016/j.bjbas.2017.10.0012.
Siddique
,
M.
,
Khaled
,
A.-R.
,
Abdulhafiz
,
N.
, and
Boukhary
,
A.
, 2010
, “
Recent Advances in Heat Transfer Enhancements: A Review Report
,” Int. J. Chem. Eng.
,
2010
, pp. 1
–28
.10.1155/2010/1064613.
Kraus
,
A. D.
,
Aziz
,
A.
,
Welty
,
J.
, and
Sekulic
,
D.
, 2001
, “
Extended Surface Heat Transfer
,” ASME Appl. Mech. Rev.
,
54
(5
), p. B92
.10.1115/1.13996804.
He
,
Y.-L.
,
Wang
,
K.
,
Qiu
,
Y.
,
Du
,
B.-C.
,
Liang
,
Q.
, and
Du
,
S.
, 2019
, “
Review of the Solar Flux Distribution in Concentrated Solar Power: Non-Uniform Features, Challenges, and Solutions
,” Appl. Therm. Eng.
,
149
, pp. 448
–474
.10.1016/j.applthermaleng.2018.12.0065.
Zdaniuk
,
G. J.
,
Chamra
,
L. M.
, and
Mago
,
P. J.
, 2008
, “
Experimental Determination of Heat Transfer and Friction in Helically-Finned Tubes
,” Exp. Therm. Fluid Sci.
,
32
(3
), pp. 761
–775
.10.1016/j.expthermflusci.2007.09.0066.
Withers
,
J. G.
, 1980
, “
Tube-Side Heat Transfer and Pressure Drop for Tubes Having Helical Internal Ridging With Turbulent/Transitional Flow of Single-Phase Fluid. Part 2. multiple-Helix Ridging
,” Heat Transfer Eng.
,
2
(2
), pp. 43
–50
.10.1080/014576380089627557.
Cheng
,
L.
, and
Chen
,
T.
, 2006
, “
Study of Single Phase Flow Heat Transfer and Friction Pressure Drop in a Spiral Internally Ribbed Tube
,” Chem. Eng. Tech.
,
29
(5
), pp. 588
–595
.10.1002/ceat.2006000148.
Webb
,
R.
,
Narayanamurthy
,
R.
, and
Thors
,
P.
, 2000
, “
Heat Transfer and Friction Characteristics of Internal Helical-Rib Roughness
,” ASME J. Heat Transfer-Trans. ASME
,
122
(1
), pp. 134
–142
.10.1115/1.5214449.
Ravigururajan
,
T.
, and
Bergles
,
A.
, 1994
, “
Visualization of Flow Phenomena Near Enhanced Surfaces
,” ASME J. Heat Transfer-Trans. ASME
,
116
(1
), pp. 54
–57
.10.1115/1.291088310.
Li
,
H.
,
Ye
,
K.
,
Tan
,
Y.
, and
Deng
,
S.
, 1982
, “
Investigation on Tube-Side Flow Visualization, Friction Factors and Heat Transfer Characteristics of Helical-Ridging Tubes
,” In Proceedings of the International Heat Transfer Conference,
Munich, Germany, Sept. 6–10, pp. 75
–80
.10.1615/IHTC7.150011.
Kim
,
J.-H.
,
Jansen
,
K. E.
, and
Jensen
,
M. K.
, 2004
, “
Simulation of Three-Dimensional Incompressible Turbulent Flow Inside Tubes With Helical Fins
,” Numer. Heat Transfer, Part B
,
46
(3
), pp. 195
–221
.10.1080/1040779049044949912.
Huang
,
Z.
,
Yu
,
G.
,
Li
,
Z.
, and
Tao
,
W.
, 2015
, “
Numerical Study on Heat Transfer Enhancement in a Receiver Tube of Parabolic Trough Solar Collector With Dimples, Protrusions and Helical Fins
,” Energy Procedia
,
69
, pp. 1306
–1316
.10.1016/j.egypro.2015.03.14913.
Sheikholeslami
,
M.
, and
Ganji
,
D.
, 2016
, “
Heat Transfer Enhancement in an Air to Water Heat Exchanger With Discontinuous Helical Turbulators: Experimental and Numerical Studies
,” Energy
,
116
, pp. 341
–352
.10.1016/j.energy.2016.09.12014.
Wang
,
W.
,
Zhang
,
Y.
,
Liu
,
J.
,
Wu
,
Z.
,
Li
,
B.
, and
Sundén
,
B.
, 2018
, “
Entropy Generation Analysis of Fully-Developed Turbulent Heat Transfer Flow in Inward Helically Corrugated Tubes
,” Numer. Heat Transfer, Part A
,
73
(11
), pp. 788
–805
.10.1080/10407782.2018.145913715.
Adeyinka
,
O.
, and
Naterer
,
G.
, 2004
, “
Modeling of Entropy Production in Turbulent Flows
,” ASME J. Fluids Eng.
,
126
(6
), pp. 893
–899
.10.1115/1.184555116.
Kock
,
F.
, and
Herwig
,
H.
, 2005
, “
Entropy Production Calculation for Turbulent Shear Flows and Their Implementation in Cfd Codes
,” Int. J. Heat Fluid Flow
,
26
(4
), pp. 672
–680
.10.1016/j.ijheatfluidflow.2005.03.00517.
Herwig
,
H.
, and
Kock
,
F.
, 2006
, “
Direct and Indirect Methods of Calculating Entropy Generation Rates in Turbulent Convective Heat Transfer Problems
,” Heat Mass Transfer
,
43
(3
), pp. 207
–215
.10.1007/s00231-006-0086-x18.
Naterer
,
G.
, and
Camberos
,
J.
, 2003
, “
Entropy and the Second Law Fluid Flow and Heat Transfer Simulation
,” J. Thermophys. Heat Transfer
,
17
(3
), pp. 360
–371
.10.2514/2.677719.
Sciubba
,
E.
, 1997
, “
Calculating Entropy With CFD
,” Mech. Eng.
,
119
(10
), pp. 86
–89
.https://link.gale.com/apps/doc/A20095472/AONE?u=tel_oweb&sid=googleScholar&xid=2415955f20.
Rashidi
,
M. M.
,
Nasiri
,
M.
,
Shadloo
,
M. S.
, and
Yang
,
Z.
, 2017
, “
Entropy Generation in a Circular Tube Heat Exchanger Using Nanofluids: Effects of Different Modeling Approaches
,” Heat Transfer Eng.
,
38
(9
), pp. 853
–866
.10.1080/01457632.2016.121191621.
Bhatti
,
M. M.
,
Abbas
,
T.
,
Rashidi
,
M. M.
,
Ali
,
M. E.-S.
, and
Yang
,
Z.
, 2016
, “
Entropy Generation on MHD Eyring–Powell Nanofluid Through a Permeable Stretching Surface
,” Entropy
,
18
(6
), p. 224
.10.3390/e1806022422.
Chen
,
L.
,
Xia
,
S.
, and
Sun
,
F.
, 2018
, “
Entropy Generation Minimization for Isothermal Crystallization Processes With a Generalized Mass Diffusion Law
,” Int. J. Heat Mass Transfer
,
116
, pp. 1
–8
.10.1016/j.ijheatmasstransfer.2017.09.00123.
Gkaragkounis
,
K.
,
Papoutsis-Kiachagias
,
E.
, and
Giannakoglou
,
K.
, 2018
, “
The Continuous Adjoint Method for Shape Optimization in Conjugate Heat Transfer Problems With Turbulent Incompressible Flows
,” Appl. Therm. Eng.
,
140
, pp. 351
–362
.10.1016/j.applthermaleng.2018.05.05424.
Kambampati
,
S.
,
Gray
,
J. S.
, and
Kim
,
H. A.
, 2021
, “
Level Set Topology Optimization of Load Carrying Battery Packs
,” Int. J. Heat Mass Transfer
,
177
, p. 121570
.10.1016/j.ijheatmasstransfer.2021.12157025.
Mekki
,
B. S.
,
Langer
,
J.
, and
Lynch
,
S.
, 2021
, “
Genetic Algorithm Based Topology Optimization of Heat Exchanger Fins Used in Aerospace Applications
,” Int. J. Heat Mass Transfer
,
170
, p. 121002
.10.1016/j.ijheatmasstransfer.2021.12100226.
Li
,
J.
,
Jin
,
R.
, and
Hang
,
Z. Y.
, 2018
, “
Integration of Physically-Based and Data-Driven Approaches for Thermal Field Prediction in Additive Manufacturing
,” Mater. Des.
,
139
, pp. 473
–485
.10.1016/j.matdes.2017.11.02827.
Zhang
,
W.
,
Liang
,
Z.
,
Wu
,
W.
,
Ling
,
G.
, and
Ma
,
R.
, 2021
, “
Design and Optimization of a Hybrid Battery Thermal Management System for Electric Vehicle Based on Surrogate Model
,” Int. J. Heat Mass Transfer
,
174
, p. 121318
.10.1016/j.ijheatmasstransfer.2021.12131828.
Smith
,
R.
, and
Dutta
,
S.
, 2021
, “
Conjugate Thermal Optimization With Unsupervised Machine Learning
,” ASME J. Heat Transfer-Trans. ASME
,
143
(5
), p. 052901
.10.1115/1.404984229.
Cai
,
S.
,
Wang
,
Z.
,
Wang
,
S.
,
Perdikaris
,
P.
, and
Karniadakis
,
G. E.
, 2021
, “
Physics-Informed Neural Networks for Heat Transfer Problems
,” ASME J. Heat Transfer-Trans. ASME
,
143
(6
), p. 060801
.10.1115/1.405054230.
Shih
,
T.-H.
,
Liou
,
W. W.
,
Shabbir
,
A.
,
Yang
,
Z.
, and
Zhu
,
J.
, 1995
, “
A New k-ε Eddy Viscosity Model for High Reynolds Number Turbulent Flows
,” Comput. Fluids
,
24
(3
), pp. 227
–238
.10.1016/0045-7930(94)00032-T31.
ANSYS Academic Research Fluent, Theory Guide, Release 19.3
,
ANSYS Inc.
, Canonsburg, PA.32.
Bejan
,
A.
, 2013
, Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes
,
CRC Press
,
Boca Raton, FL
.33.
Bejan
,
A.
, 1979
, “
A Study of Entropy Generation in Fundamental Convective Heat Transfer
,” ASME J. Heat Transfer-Trans. ASME
,
101
(4
), pp. 718
–725
.10.1115/1.345106334.
Anderson
,
J. D.
, and
Wendt
,
J.
, 1995
, Computational fluid dynamics.
McGraw-Hill
,
New York
.35.
36.
Rasmussen
,
C. E.
, and
Williams
,
C. K. I.
, 2005
, Gaussian Processes for Machine Learning. Adaptive Computation and Machine Learning
,
MIT Press
, Boston,
MA
.37.
Deb
,
K.
,
Pratap
,
A.
,
Agarwal
,
S.
, and
Meyarivan
,
T.
, 2002
, “
A Fast and Elitist Multiobjective Genetic Algorithm: Nsga-ii
,” IEEE Trans. Evolution. Comput.
,
6
(2
), pp. 182
–197
.10.1109/4235.996017Copyright © 2022 by ASME
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