Abstract

An objective function combining the first and second laws of thermodynamics has been employed to delineate the thermodynamic performance on mixed convection around a vertical hollow, rotating cylinder within the laminar range with the variation of Rayleigh number (104 ≤ Ra ≤ 108), Reynolds number (ReD < 2100), and aspect ratio (1 ≤ L/D ≤20). Entropy generation in the system is predominantly triggered by heat transfer in comparison to fluid friction. The irreversibility incurred progressively increases with an increase in Ra and ReD. The variation pattern of (I/Q)Rotation/(I/Q)NonRotation has been demonstrated to find out the optimized regime where heat transfer is maximum within the laminar range. The contribution of fluid friction irreversibility toward total irreversibility rises abruptly with an increase in ReD for all cases of L/D and Ra. To demonstrate this study's thermodynamic characteristics, the static temperature contours as well as the contours of entropy generation have been represented pictorially. The estimation of cooling time has been reported by using the method of lumped capacitance.

References

1.
Touloukian
,
Y. S.
,
Hawkins
,
G. A.
, and
Jakob
,
M.
,
1948
, “
Heat Transfer by Free Convection From Heated Vertical Surfaces to Liquids
,”
Trans. ASME
,
70
, pp.
13
18
.
2.
Kyte
,
J. R.
,
Madden
,
A. J.
, and
Piret
,
E. L.
,
1953
, “
Natural-Convection Heat Transfer at Reduced Pressure-Spheres and Cylinders
,”
Chem. Eng. Prog.
,
49
(
12
), pp.
653
662
.
3.
Sparrow
,
E. M.
, and
Gregg
,
J. L.
,
1956
, “
Laminar Free Convection Heat Transfer From the Outer Surface of a Vertical Circular Cylinder
,”
Trans. ASME
,
78
(
8
), pp.
1823
1829
.
4.
Fujii
,
T.
,
1959
, “
Experimental Studies of Free Convection Heat Transfer
,”
Bull. JSME
,
2
(
8
), pp.
555
558
.10.1299/jsme1958.2.555
5.
Heckel
,
J. J.
,
Chen
,
T. S.
, and
Armaly
,
B. F.
,
1989
, “
Mixed Convection Along Slender Vertical Cylinders With Variable Surface Temperature
,”
Int. J. Heat Mass Transfer
,
32
(
8
), pp.
1431
1442
.10.1016/0017-9310(89)90067-7
6.
Lee
,
H. R.
,
Chen
,
T. S.
, and
Armaly
,
B. F.
,
1988
, “
Natural Convection Along Slender Vertical Cylinders With Variable Surface Temperature
,”
ASME J. Heat Transfer
,
110
(
1
), pp.
103
108
.10.1115/1.3250439
7.
Narain
,
J. P.
,
1976
, “
Free and Forced Convective Heat Transfer From Slender Cylinders
,”
Lett. Heat Mass Transfer
,
3
(
1
), pp.
21
30
.10.1016/0094-4548(76)90038-2
8.
Buchlin
,
J. M.
,
1998
, “
Natural and Forced Convective Heat Transfer on Slender Cylinders
,”
Rev. Gen. Therm.
,
37
(
8
), pp.
653
660
.10.1016/S0035-3159(98)80043-3
9.
Mahmood
,
T.
, and
Merkin
,
J. H.
,
1988
, “
Mixed Convection on a Vertical Circular Cylinder
,”
J. Appl. Math. Phys.
,
39
(
2
), pp.
186
203
.10.1007/BF00945765
10.
Semenov
,
Y. P.
,
1984
, “
Mixed Laminar Convection Around a Vertical Cylinder With a Constant Surface Temperature
,”
J. Appl. Mech. Tech. Phys.
,
25
(
1
), pp.
42
46
.10.1007/BF00916863
11.
Chen
,
T. S.
, and
Mucoglu
,
A.
,
1975
, “
Bouyancy Effects on Forced Convection Along a Vertical Cylinder
,”
ASME J. Heat Transfer
,
97
(
2
), pp.
198
203
.10.1115/1.3450341
12.
Bui
,
M. N.
, and
Cebeci
,
T.
,
1985
, “
Combined Free and Forced Convection on Vertical Slender Cylinders
,”
ASME J. Heat Transfer
,
107
(
2
), pp.
476
478
.10.1115/1.3247442
13.
Wang
,
T. Y.
, and
Kleinstreuer
,
C.
,
1989
, “
General Analysis of Steady Laminar Mixed Convection Heat Transfer on Vertical Slender Cylinders
,”
ASME J. Heat Transfer
,
111
(
2
), pp.
393
398
.10.1115/1.3250690
14.
Daskalakis
,
J. E.
,
1993
, “
Mixed Free and Forced Convection in the Incompressible Boundary Layer Along a Rotating Vertical Cylinder With Fluid Injection
,”
Int. J. Energy Res.
,
17
(
8
), pp.
689
695
.10.1002/er.4440170803
15.
Ishak
,
A.
,
2009
, “
Mixed Convection Boundary Layer Flow Over a Vertical Cylinder With Prescribed Surface Heat Flux
,”
J. Phys. A
,
42
(
19
), p.
195501
.10.1088/1751-8113/42/19/195501
16.
Roy
,
S.
, and
Anilkumar
,
D.
,
2006
, “
Unsteady Mixed Convection From a Moving Vertical Slender Cylinder
,”
ASME J. Heat Transfer
,
128
(
4
), pp.
368
373
.10.1115/1.2165206
17.
Singh
,
P. J.
, and
Roy
,
S.
,
2008
, “
Mixed Convection Along a Rotating Vertical Slender Cylinder in an Axial Flow
,”
Int. J. Heat Mass Transfer
,
51
(
3–4
), pp.
717
723
.10.1016/j.ijheatmasstransfer.2007.04.053
18.
Singh
,
P. J.
,
Roy
,
S.
, and
Pop
,
I.
,
2008
, “
Unsteady Mixed Convection From a Rotating Vertical Slender Cylinder in an Axial Flow
,”
Int. J. Heat Mass Transfer
,
51
(
5–6
), pp.
1423
1430
.10.1016/j.ijheatmasstransfer.2007.11.024
19.
Abu-Hijleh
,
B. A.
, and
Heilen
,
W. N.
,
1999
, “
Entropy Generation Due to Laminar Natural Convection Over a Heated Rotating Cylinder
,”
Int. J. Heat Mass Transfer
,
42
(
22
), pp.
4225
4233
.10.1016/S0017-9310(99)00078-2
20.
Dağtekin
,
İ.
,
Öztop
,
H. F.
, and
Şahin
,
A. Z.
,
2005
, “
An Analysis of Entropy Generation Through a Circular Duct With Different Shaped Longitudinal Fins for Laminar Flow
,”
Int. J. Heat Mass Transfer
,
48
(
1
), pp.
171
181
.10.1016/j.ijheatmasstransfer.2004.08.013
21.
Senapati
,
J. R.
,
Dash
,
S. K.
, and
Roy
,
S.
,
2017
, “
Entropy Generation in Laminar and Turbulent Natural Convection Heat Transfer From Vertical Cylinder With Annular Fins
,”
ASME J. Heat Transfer
,
139
(
4
), p.
042501
.10.1115/1.4035355
22.
Senapati
,
J. R.
,
Dash
,
S. K.
, and
Roy
,
S.
,
2017
, “
Three-Dimensional Numerical Investigation of Thermodynamic Performance Due to Conjugate Natural Convection From Horizontal Cylinder With Annular Fins
,”
ASME J. Heat Transfer
,
139
(
8
), p.
082501
.10.1115/1.4035968
23.
Acharya
,
S.
,
Agrawal
,
S.
, and
Dash
,
S. K.
,
2018
, “
Numerical Analysis of Natural Convection Heat Transfer From a Vertical Hollow Cylinder Suspended in Air
,”
ASME J. Heat Transfer
,
140
(
5
), p.
052501
.10.1115/1.4038478
24.
Acharya
,
S.
, and
Dash
,
S. K.
,
2020
, “
Turbulent Natural Convection Heat Transfer From a Vertical Hollow Cylinder Suspended in Air: A Numerical Approach
,”
Therm. Sci. Eng. Prog.
,
15
, p.
100449
.10.1016/j.tsep.2019.100449
25.
Rana
,
B. K.
,
Singh
,
B.
, and
Senapati
,
J. R.
,
2020
, “
Thermofluid Characteristics on Natural and Mixed Convection Heat Transfer From a Vertical Rotating Hollow Cylinder Immersed in Air: A Numerical Exercise
,”
ASME J. Heat Transfer
,
143
(
2
), p.
022601
.
26.
Churchill
,
S. W.
,
1977
, “
A Comprehensive Correlating Equation for Laminar, Assisting, Forced and Free Convection
,”
AIChE J.
,
23
(
1
), pp.
10
16
.10.1002/aic.690230103
27.
McAdams
,
W. H.
,
1954
,
Heat Transmission
, 3rd ed.,
McGraw-Hill
,
New York
.
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