Graphical Abstract Figure

(a) A flow system with two parallel channels. (b) Stable solutions in a two-parallel channel assembly: Lines represent identical single-channel characteristic curves (diameter 1.4 mm and heat rates 60 W each) for channel 1 and channel 2, respectively. The markers represent equally distributed flow (overlapping blue stars) and maldistributed flow (magenta diamonds) for a total flow rate of 0.8 g/s.

Graphical Abstract Figure

(a) A flow system with two parallel channels. (b) Stable solutions in a two-parallel channel assembly: Lines represent identical single-channel characteristic curves (diameter 1.4 mm and heat rates 60 W each) for channel 1 and channel 2, respectively. The markers represent equally distributed flow (overlapping blue stars) and maldistributed flow (magenta diamonds) for a total flow rate of 0.8 g/s.

Close modal

Abstract

Flow boiling heat transfer in parallel channels has garnered significant attention due to its relevance in various engineering applications. Since two-phase flow behavior is highly nonlinear, the solution to the steady forms of mass, momentum, and energy balance equations applied to flow in heated parallel channels can be nonunique. With multiple solutions, flow in a heated parallel-channel system may also exhibit hysteresis, making the system's current state dependent on its history. Existing stability criteria offer no physical insight into the preference of one solution over the other possible flow solutions during the hysteresis process. The underlying physical mechanisms are yet to be investigated, which this study aims to address by adopting a thermodynamic perspective to understand flow hysteresis in parallel channels. By using experiments on two thermally isolated channels in a closed pumped loop cycle with water as the working fluid, we evaluate the entropy generated in the system for increasing and decreasing orders of flow and heating rates. The experiments revealed that flow maldistribution could be thermodynamically favored over a uniform flow state corresponding to the same system operational parameters, such as pump frequency, valve settings (percentage open or closed), and heating rates. We also conducted a parametric study to determine the effect of system parameters on flow distributions and hysteresis in parallel channels. In this regard, tunable system parameters, especially valves positioned before the evaporator, can affect hysteresis, supporting strategies like inlet restrictors to minimize flow maldistribution in parallel channels.

References

1.
Bergles
,
A. E.
, and
Manglik
,
R. M.
,
2013
, “
Current Progress and New Developments in Enhanced Heat and Mass Transfer
,”
J. Enhanced Heat Transfer
,
20
(
1
), pp.
1
15
.
2.
Van Oevelen
,
T.
,
Weibel
,
J. A.
, and
Garimella
,
S. V.
,
2017
, “
Predicting Two-Phase Flow Distribution and Stability in Systems With Many Parallel Heated Channels
,”
Int. J. Heat Mass Transfer
,
107
, pp.
557
571
.
3.
Aka
,
T.
, and
Narayan
,
S.
,
2022
, “
Transient Behavior and Maldistribution of Two-Phase Flow in Parallel Channels
,”
IEEE Trans. Compon. Packag. Manuf. Technol.
,
12
(
2
), pp.
270
279
.
4.
Jin
,
Q.
,
Wen
,
J. T.
, and
Narayanan
,
S.
,
2018
, “
Analysis and Active Control of Pressure Drop Oscillation in Microchannel Vapor Compression Cycle
,”
2018 17th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm)
,
San Diego, CA
,
May 1
, IEEE, pp.
842
849
.
5.
Jin
,
Q.
,
Wen
,
J. T.
, and
Narayanan
,
S.
,
2021
, “
Dynamic Control of Pressure Drop Oscillation in a Microchannel Cooling System
,”
Heat Transfer Eng.
,
42
(
6
), pp.
517
532
.
6.
Jin
,
Q.
,
Wen
,
J. T.
, and
Narayanan
,
S.
,
2019
, “
Characteristics of Pressure Drop Oscillation in a Microchannel Cooling System
,”
Appl. Therm. Eng.
,
160
, pp.
1
22
.
7.
Jin
,
Q.
,
Wen
,
J. T.
, and
Narayanan
,
S.
,
2021
, “
The Analysis and Prediction of Pressure Drop Oscillation in Phase-Change Cooling Systems
,”
Int. J. Heat Mass Transfer
,
165
, p.
120621
.
8.
Jin
,
Q.
,
Wen
,
J. T.
, and
Narayan
,
S.
,
2022
, “
Effect of Oscillatory Heat Load on Pressure Drop Oscillation
,”
Int. J. Heat Mass Transfer
,
194
, p.
123077
.
9.
Koşar
,
A.
,
Kuo
,
C.
, and
Peles
,
Y.
,
2006
, “
Suppression of Boiling Flow Oscillations in Parallel Microchannels by Inlet Restrictors
,”
ASME J. Heat Transfer
,
128
(
3
), pp.
251
260
.
10.
Jin
,
Q.
,
Wen
,
J. T.
, and
Narayanan
,
S.
,
2021
, “
Experimental Study and Mitigation of Pressure Drop Oscillation Using Active Control
,”
ASME J. Electron. Packag.
,
143
(
4
), p.
041102
.
11.
Akagawa
,
K.
,
Kono
,
M.
,
Sakaguchi
,
T.
, and
Nishimura
,
M.
,
1971
, “
Study on Distribution of Flow Rates and Flow Stabilities in Parallel Long Evaporators
,”
Bull. JSME
,
14
(
74
), pp.
837
848
.
12.
Natan
,
S.
,
Barnea
,
D.
, and
Taitel
,
Y.
,
2003
, “
Direct Steam Generation in Parallel Pipes
,”
Int. J. Multiphase Flow
,
29
(
11
), pp.
1669
1683
.
13.
Zhang
,
T.
,
Tong
,
T.
,
Chang
,
J.-Y.
,
Peles
,
Y.
,
Prasher
,
R.
,
Jensen
,
M. K.
,
Wen
,
J. T.
, and
Phelan
,
P.
,
2009
, “
Ledinegg Instability in Microchannels
,”
Int. J. Heat Mass Transfer
,
52
(
25–26
), pp.
5661
5674
.
14.
Manavela Chiapero
,
E.
,
Fernandino
,
M.
, and
Dorao
,
C. A.
,
2013
, “
Numerical Analysis of Pressure Drop Oscillations in Parallel Channels
,”
Int. J. Multiphase Flow
,
56
, pp.
15
24
.
15.
Baikin
,
M.
,
Taitel
,
Y.
, and
Barnea
,
D.
,
2011
, “
Flow Rate Distribution in Parallel Heated Pipes
,”
Int. J. Heat Mass Transfer
,
54
(
19–20
), pp.
4448
4457
.
16.
Taitel
,
Y.
,
Minzer
,
U.
, and
Barnea
,
D.
,
2008
, “
A Control Procedure for the Elimination of mal Flow Rate Distribution in Evaporating Flow in Parallel Pipes
,”
Sol. Energy
,
82
(
4
), pp.
329
335
.
17.
Taitel
,
Y.
, and
Barnea
,
D.
,
2011
, “
Transient Solution for Flow of Evaporating Fluid in Parallel Pipes Using Analysis Based on Flow Patterns
,”
Int. J. Multiphase Flow
,
37
(
5
), pp.
469
474
.
18.
Minzer
,
U.
,
Barnea
,
D.
, and
Taitel
,
Y.
,
2006
, “
Flow Rate Distribution in Evaporating Parallel Pipes-Modeling and Experimental
,”
Chem. Eng. Sci.
,
61
(
22
), pp.
7249
7259
.
19.
Minzer
,
U.
,
Barnea
,
D.
, and
Taitel
,
Y.
,
2004
, “
Evaporation in Parallel Pipes—Splitting Characteristics
,”
Int. J. Multiphase Flow
,
30
(
7–8 SPEC. ISS.
), pp.
763
777
.
20.
Zhang
,
T.
,
Wen
,
J. T.
,
Julius
,
A.
,
Peles
,
Y.
, and
Jensen
,
M. K.
,
2011
, “
Stability Analysis and Maldistribution Control of Two-Phase Flow in Parallel Evaporating Channels
,”
Int. J. Heat Mass Transfer
,
54
(
25–26
), pp.
5298
5305
.
21.
Shahnazari
,
M. R.
,
Amjadigolpayegani
,
A.
, and
Soltani
,
M.
,
2021
, “
Bifurcation Analysis on Interaction Between Ledinegg Instability and Pressure Drop Oscillations in a Horizontal Boiling Channel
,”
Int. J. Heat Mass Transfer
,
166
, p.
120760
.
22.
Miglani
,
A.
,
Weibel
,
J. A.
, and
Garimella
,
S. V.
,
2021
, “
Measurement of Flow Maldistribution Induced by the Ledinegg Instability During Boiling in Thermally Isolated Parallel Microchannels
,”
Int. J. Multiphase Flow
,
139
, p.
103644
.
23.
Schab
,
R.
,
Dorau
,
T.
,
Unz
,
S.
, and
Beckmann
,
M.
,
2022
, “
Parameter Study of Geometrically Induced Flow Maldistribution in Shell and Tube Heat Exchangers
,”
ASME J. Therm. Sci. Eng. Appl.
,
14
(
10
), p.
101002
.
24.
Zhang
,
Z.
,
Mehendale
,
S.
,
Lv
,
S.
,
Yuan
,
H.
, and
Tian
,
J.
,
2021
, “
The Influence of Header Design on Two-Phase Flow Distribution in Plate-Fin Heat Exchangers
,”
ASME J. Therm. Sci. Eng. Appl.
,
13
(
2
), p.
021013
.
25.
Siva
,
V. M.
,
Pattamatta
,
A.
, and
Kumar Das
,
S.
,
2013
, “
A Numerical Study of Flow and Temperature Maldistribution in a Parallel Microchannel System for Heat Removal in Microelectronic Devices
,”
ASME J. Therm. Sci. Eng. Appl.
,
5
(
4
), p.
041008
.
26.
Aka
,
T.
, and
Narayan
,
S.
,
2024
, “
Using Entropy Balance to Determine Multiphase Flow Distribution in Thermally Decoupled Parallel Channels With Shared Inlet and Outlet Headers
,”
Phys. Fluids
,
36
(
5
), p.
054118
.
27.
Hossain
,
M. N.
, and
Ghosh
,
K.
,
2023
, “
Entropy Generation Minimization for Boiling Flow Inside Evaporator Tube With R32 and R410A Refrigerants: A Comparison of Different Two-Phase Flow Models
,”
ASME J. Therm. Sci. Eng. Appl.
,
15
(
6
), pp.
1
38
.
28.
Ezeora
,
O. S.
,
2008
, “
Entropy Generation Analysis and Optimum Tube Length of Two-Phase Flowevaporator Tube
,”
Proceedings of the International Refrigeration and Air Conditioning Conference
,
Purdue
,
Jul. 14–17
.
29.
Maganti
,
L. S.
, and
Dhar
,
P.
,
2017
, “
Consequences of Flow Configuration and Nanofluid Transport on Entropy Generation in Parallel Microchannel Cooling Systems
,”
Int. J. Heat Mass Transfer
,
109
, pp.
555
563
.
30.
Ordóñez
,
J. C.
, and
Bejan
,
A.
,
2000
, “
Entropy Generation Minimization in Parallel-Plates Counterflow Heat Exchangers
,”
Int. J. Energy Res.
,
24
(
10
), pp.
843
864
.
31.
Županović
,
P.
,
Juretić
,
D.
, and
Botrić
,
S.
,
2004
, “
Kirchhoff's Loop Law and the Maximum Entropy Production Principle
,”
Phys. Rev. E
,
70
(
5
), p.
5
.
32.
Aka
,
T.
, and
Narayan
,
S.
,
2024
, “
An Entropic Understanding of Flow Maldistribution in Thermally Isolated Parallel Channels
,”
Int. J. Heat Mass Transfer
,
227
, p.
125564
.
34.
Kleidon
,
A.
,
Malhi
,
Y.
, and
Cox
,
P. M.
,
2010
, “
Maximum Entropy Production in Environmental and Ecological Systems
,”
Philos. Trans. R. Soc., B
,
365
(
1545
), pp.
1297
1302
.
35.
Miglani
,
A.
,
Weibel
,
J. A.
, and
Garimella
,
S. V.
,
2021
, “
An Experimental Investigation of the Effect of Thermal Coupling Between Parallel Microchannels Undergoing Boiling on the Ledinegg Instability-Induced Flow Maldistribution
,”
Int. J. Multiphase Flow
,
139
, p.
103536
.
You do not currently have access to this content.