Abstract
This study investigates the unsteady, two-dimensional flow and heat transfer past a rotationally oscillating circular cylinder in linear shear flow. A higher order compact (HOC) finite difference scheme is used to solve the governing Navier–Stokes equations coupled with the energy equation on a nonuniform grid in polar coordinates. The hydrodynamic and thermal features of the flow are mainly influenced by the shear rate (K), Reynolds number (Re), Prandtl number (Pr), and the cylinder oscillation parameters, i.e., oscillation amplitude (αm), the frequency ratio (fr). The simulations are performed for , and . The numerical scheme is validated with the existing literature studies. Partial and full vortex suppression is observed for certain values of shear parameter K. The connection between heat transfer and vortex shedding phenomenon is examined where a pronounced increase in the heat transfer is observed for certain values of oscillation parameter, relative to the nonshear flow case.
Issue Section:
Forced Convection
References
1.
Kalita
,
J. C.
, and
Ray
,
R. K.
, 2009
, “
A Transformation-Free Hoc Scheme for Incompressible Viscous Flows Past an Impulsively Started Circular Cylinder
,” J. Comput. Phy.
,
228
(14
), pp. 5207
–5236
.10.1016/j.jcp.2009.04.0162.
Mittal
,
H.
, 2016
, “
A Class of Higher Order Accurate Schemes for Fluid Interface Problems
,” Ph.D. thesis
,
Indian Institute of Technology
, Mandi, India.http://hdl.handle.net/123456789/1993.
Ray
,
R. K.
, and
Kalita
,
J. C.
, 2016
, “
Higher-Order-Compact Simulation of Unsteady Flow Past a Rotating Cylinder at Moderate Reynolds Numbers
,” Comput. Appl. Math.
,
35
(1
), pp. 219
–250
.10.1007/s40314-014-0191-24.
Mittal
,
H.
,
Ray
,
R. K.
, and
Al-Mdallal
,
Q. M.
, 2017
, “
A Numerical Study of Initial Flow Past an Impulsively Started Rotationally Oscillating Circular Cylinder Using a Transformation-Free Hoc Scheme
,” Phys. Fluids
,
29
(9
), p. 093603
.10.1063/1.50017315.
Mittal
,
H.
,
Al-Mdallal
,
Q. M.
, and
Ray
,
R. K.
, 2017
, “
Locked-on Vortex Shedding Modes From a Rotationally Oscillating Circular Cylinder
,” Ocean Eng.
,
146
, pp. 324
–338
.10.1016/j.oceaneng.2017.09.0346.
Kumar
,
A.
, 2019
, “
Unsteady Flow Separation from the Surface of Solid Cylinders in Laminar Shear Flow: A Structural Bifurcation Analysis
,” Ph.D. thesis
,
IIT Mandi
, Mandi, India.http://hdl.handle.net/123456789/2047.
Kumar
,
A.
, and
Ray
,
R. K.
, 2019
, “
Structural Bifurcation Analysis of Vortex Shedding From Shear Flow Past Circular Cylinder
,” Comput. Appl. Math.
,
38
(3
), p. 121
.10.1007/s40314-019-0895-48.
Sellappan
,
P.
, and
Pottebaum
,
T.
, 2014
, “
Vortex Shedding and Heat Transfer in Rotationally Oscillating Cylinders
,” J. Fluid Mech.
,
748
, pp. 549
–579
.10.1017/jfm.2014.1919.
Strouhal
,
V.
, 1878
, “
Über Eine Besondere Art Der Tonerregung
,” Annalen Der Phys.
,
241
(10
), pp. 216
–251
.10.1002/andp.1878241100510.
Kumar
,
S.
,
Lopez
,
C.
,
Probst
,
O.
,
Francisco
,
G.
,
Askari
,
D.
, and
Yang
,
Y.
, 2013
, “
Flow Past a Rotationally Oscillating Cylinder
,” J. Fluid Mech.
,
735
, pp. 307
–346
.10.1017/jfm.2013.46911.
Lu
,
X.-Y.
, and
Sato
,
J.
, 1996
, “
A Numerical Study of Flow Past a Rotationally Oscillating Circular Cylinder
,” J. Fluids Struct.
,
10
(8
), pp. 829
–849
.10.1006/jfls.1996.005512.
Gao
,
Y-y.
,
Yin
,
C-s.
,
Yang
,
K.
,
Zhao
,
X-Z.
, and
Tan
,
S. K.
, 2017
, “
Experimental Study on Flow Past a Rotationally Oscillating Cylinder
,” China Ocean Eng.
,
31
(4
), pp. 495
–503
.10.1007/s13344-017-0056-813.
Yawar
,
A.
,
Ebrahem
,
M.
,
Manzoor
,
S.
,
Sheikh
,
N.
, and
Ali
,
M.
, 2019
, “
Transient Cross Flow and Heat Transfer Over a Rotationally Oscillating Cylinder Subjected to Gust Impulse
,” Int. J. Heat Mass Transfer
,
137
, pp. 108
–123
.10.1016/j.ijheatmasstransfer.2019.03.11314.
Ganta
,
N.
,
Mahato
,
B.
, and
Bhumkar
,
Y. G.
, 2019
, “
Analysis of Sound Generation by Flow Past a Circular Cylinder Performing Rotary Oscillations Using Direct Simulation Approach
,” Phys. Fluids
,
31
(2
), p. 026104
.10.1063/1.506364215.
Zebib
,
A.
, and
Wo
,
Y.
, 1989
, “
A Two-Dimensional Conjugate Heat Transfer Model for Forced Air Cooling of an Electronic Device
,” ASME. J. Electron. Packag.
,
111
(1
), pp. 41
–45
.10.1115/1.322650716.
Yang
,
R.-J.
, and
Fu
,
L.-M.
, 2001
, “
Thermal and Flow Analysis of a Heated Electronic Component
,” Int. J. Heat Mass Transfer
,
44
(12
), pp. 2261
–2275
.10.1016/S0017-9310(00)00265-917.
Ganesan
,
P.
, and
Loganathan
,
P.
, 2001
, “
Unsteady Natural Convective Flow Past a Moving Vertical Cylinder With Heat and Mass Transfer
,” Heat Mass Transfer
,
37
(1
), pp. 59
–65
.10.1007/s00231000012818.
Takhar
,
H. S.
,
Chamkha
,
A. J.
, and
Nath
,
G.
, 2000
, “
Combined Heat and Mass Transfer Along a Vertical Moving Cylinder With a Free Stream
,” Heat Mass Transfer
,
36
(3
), pp. 237
–246
.10.1007/s00231005039119.
Mahfouz
,
F.
, and
Badr
,
H.
, 2000
, “
Forced Convection From a Rotationally Oscillating Cylinder Placed in a Uniform Stream
,” Int. J. Heat Mass Transfer
,
43
(17
), pp. 3093
–3104
.10.1016/S0017-9310(99)00326-920.
Mittal
,
H.
, and
Al-Mdallal
,
Q. M.
, 2018
, “
A Numerical Study of Forced Convection From an Isothermal Cylinder Performing Rotational Oscillations in a Uniform Stream
,” Int. J. Heat Mass Transfer
,
127
, pp. 357
–374
.10.1016/j.ijheatmasstransfer.2018.07.02221.
Bouakkaz
,
R.
,
Talbi
,
K.
,
Ouazzazi
,
M.
,
Khelili
,
Y.
, and
Salhi
,
F.
, 2015
, “
Effect of Rotation Rates on the Laminar Flow and Heat Transfer Past a Circular Cylinder
,” Braz. J. Chem. Eng.
,
32
(2
), pp. 519
–529
.10.1590/0104-6632.20150322s0000253922.
Paramane
,
S. B.
, and
Sharma
,
A.
, 2009
, “
Numerical Investigation of Heat and Fluid Flow Across a Rotating Circular Cylinder Maintained at Constant Temperature in 2-d Laminar Flow Regime
,” Int. J. Heat Mass Transfer
,
52
(13–14
), pp. 3205
–3216
.10.1016/j.ijheatmasstransfer.2008.12.03123.
Ghazanfarian
,
J.
, and
Nobari
,
M.
, 2009
, “
A Numerical Study of Convective Heat Transfer From a Rotating Cylinder With Cross-Flow Oscillation
,” Int. J. Heat Mass Transfer
,
52
(23–24
), pp. 5402
–5411
.10.1016/j.ijheatmasstransfer.2009.06.03624.
Nobari
,
M.
, and
Ghazanfarian
,
J.
, 2010
, “
Convective Heat Transfer From a Rotating Cylinder With Inline Oscillation
,” Int. J. Therm. Sci.
,
49
(10
), pp. 2026
–2036
.10.1016/j.ijthermalsci.2010.05.00625.
Singh
,
S.
, and
Mittal
,
S.
, 2005
, “
Flow Past a Cylinder: Shear Layer Instability and Drag Crisis
,” Int. J. Numer. Methods Fluids
,
47
(1
), pp. 75
–98
.10.1002/fld.80726.
Saxena
,
U.
, and
Laird
,
A.
, 1978
, “
Heat Transfer From a Cylinder Oscillating in a Cross-Flow
,” ASME J. Heat Transfer-Trans. ASME
,
100
(4
), pp. 684
–689
.10.1115/1.345087727.
Leung
,
C.
,
Ko
,
N.
, and
Ma
,
K.
, 1981
, “
Heat Transfer From a Vibrating Cylinder
,” J. Sound Vib.
,
75
(4
), pp. 581
–582
.10.1016/0022-460X(81)90445-428.
Childs
,
E.
, and
Mayle
,
R.
, 1984
, “
Heat Transfer on a Rotationally Oscillating Cylinder in Crossflow
,” Int. J. Heat Mass Transfer
,
27
(1
), pp. 85
–94
.10.1016/0017-9310(84)90240-029.
Cheng
,
C.-H.
,
Chen
,
H.-N.
, and
Aung
,
W.
, 1997
, “
Experimental Study of the Effect of Transverse Oscillation on Convection Heat Transfer From a Circular Cylinder
,” ASME J. Heat Transfer-Trans. ASME
,
119
(3
), pp. 474
–482
.10.1115/1.282412130.
Fu
,
W.-S.
, and
Tong
,
B.-H.
, 2002
, “
Numerical Investigation of Heat Transfer From a Heated Oscillating Cylinder in a Cross Flow
,” Int. J. Heat Mass Transfer
,
45
(14
), pp. 3033
–3043
.10.1016/S0017-9310(02)00016-931.
Beskok
,
A.
,
Raisee
,
M.
,
Celik
,
B.
,
Yagiz
,
B.
, and
Cheraghi
,
M.
, 2012
, “
Heat Transfer Enhancement in a Straight Channel Via a Rotationally Oscillating Adiabatic Cylinder
,” Int. J. Therm. Sci.
,
58
, pp. 61
–69
.10.1016/j.ijthermalsci.2012.03.01232.
Al-Mdallal
,
Q.
, and
Mahfouz
,
F.
, 2017
, “
Heat Transfer From a Heated Non-Rotating Cylinder Performing Circular Motion in a Uniform Stream
,” Int. J. Heat Mass Transfer
,
112
, pp. 147
–157
.10.1016/j.ijheatmasstransfer.2017.04.09733.
Jordan
,
S. K.
, and
Fromm
,
J. E.
, 1972
, “
Laminar Flow Past a Circle in a Shear Flow
,” Phys. Fluids
,
15
(6
), pp. 972
–976
.10.1063/1.169405834.
Cao
,
S.
,
Hirano
,
K.
,
Ozono
,
S.
, and
Wakasugi
,
Y.
, 2000
, “
Vortex Shedding for a Circular Cylinder Placed in Strong Shear Flow
,” J. Wind Eng.
,
25
(4
), pp. 85_53
–62
.10.5359/jwe.25.85_5335.
Cao
,
S.
, and
Tamura
,
Y.
, 2008
, “
Flow Around a Circular Cylinder in Linear Shear Flows at Subcritical Reynolds Number
,” J. Wind Eng. Indus. Aerodyn.
,
96
(10–11
), pp. 1961
–1973
.10.1016/j.jweia.2008.02.04136.
Cao
,
S.
,
Ozono
,
S.
,
Tamura
,
Y.
,
Ge
,
Y.
, and
Kikugawa
,
H.
, 2010
, “
Numerical Simulation of Reynolds Number Effects on Velocity Shear Flow Around a Circular Cylinder
,” J. Fluids Struct.
,
26
(5
), pp. 685
–702
.10.1016/j.jfluidstructs.2010.03.00337.
Wu
,
T.
, and
Chen
,
C.-F.
, 2000
, “
Laminar Boundary-Layer Separation Over a Circular Cylinder in Uniform Shear Flow
,” Acta Mech.
,
144
(1–2
), pp. 71
–82
.10.1007/BF0118182938.
Lei
,
C.
,
Cheng
,
L.
, and
Kavanagh
,
K.
, 2000
, “
A Finite Difference Solution of the Shear Flow Over a Circular Cylinder
,” Ocean Eng.
,
27
(3
), pp. 271
–290
.10.1016/S0029-8018(98)00050-X39.
Sumner
,
D.
, and
Akosile
,
O.
, 2003
, “
On Uniform Planar Shear Flow Around a Circular Cylinder at Subcritical Reynolds Number
,” J. Fluids Struct.
,
18
(3–4
), pp. 441
–454
.10.1016/j.jfluidstructs.2003.08.00440.
Kappler
,
M.
,
Rodi
,
W.
,
Szepessy
,
S.
, and
Badran
,
O.
, 2005
, “
Experiments on the Flow Past Long Circular Cylinders in a Shear Flow
,” Exp. Fluids
,
38
(3
), pp. 269
–284
.10.1007/s00348-004-0872-541.
Kim
,
D.
,
Choi
,
H.
, and
Choi
,
H.
, 2005
, “
Characteristics of Laminar Flow Past a Sphere in Uniform Shear
,” Phys. Fluids
,
17
(10
), p. 103602
.10.1063/1.209032742.
Kang
,
S.
, 2006
, “
Uniform-Shear Flow Over a Circular Cylinder at Low Reynolds Numbers
,” J. Fluids Struct.
,
22
(4
), pp. 541
–555
.10.1016/j.jfluidstructs.2006.02.00343.
Omori
,
T.
,
Jakirlić
,
S.
,
Tropea
,
C.
, and
Obi
,
S.
, 2008
, “
Shearless and Sheared Flow Past a circular cylinder: Comparative Analysis by Means of Les
,” Int. J. Heat Fluid Flow
,
29
(3
), pp. 703
–720
.10.1016/j.ijheatfluidflow.2008.03.01244.
Zhang
,
H.
,
Fan
,
B-c.
,
Chen
,
Z-h.
,
Li
,
H-Z.
, and
Li
,
B-m.
, 2014
, “
An in-Depth Study on Vortex-Induced Vibration of a Circular Cylinder With Shear Flow
,” Comput. Fluids
,
100
, pp. 30
–44
.10.1016/j.compfluid.2014.04.03145.
Yoshino
,
F.
, and
Hayashi
,
T.
, 1984
, “
The Numerical Solution of Flow Around a Rotating Circular Cylinder in Uniform Shear Flow
,” Bull. JSME
,
27
(231
), pp. 1850
–1857
.10.1299/jsme1958.27.185046.
Kurose
,
R.
, and
Komori
,
S.
, 1999
, “
Drag and Lift Forces on a Rotating Sphere in a Linear Shear Flow
,” J. Fluid Mech.
,
384
(1
), pp. 183
–206
.10.1017/S002211209900416447.
Kang
,
S.
, 2006
, “
Laminar Flow Over a Steadily Rotating Circular Cylinder Under the Influence of Uniform Shear
,” Phys. Fluids
,
18
(4
), p. 047106
.10.1063/1.218929348.
Rohlf
,
K.
, and
D'Alessio
,
S.
, 2005
, “
Uniform Shear Flow Past a Circular Cylinder
,” Acta Mech.
,
178
(3–4
), pp. 199
–222
.10.1007/s00707-004-0197-849.
Chew
,
Y.
,
Luo
,
S.
, and
Cheng
,
M.
, 1997
, “
Numerical Study of a Linear Shear Flow Past a Rotating Cylinder
,” J. Wind Eng. Indus. Aerodyn.
,
66
(2
), pp. 107
–125
.10.1016/S0167-6105(97)00016-050.
Stansby
,
P.
, 1976
, “
The Locking-on of Vortex Shedding Due to the Cross-Stream Vibration of Circular Cylinders in Uniform and Shear Flows
,” J. Fluid Mech.
,
74
(4
), pp. 641
–665
.10.1017/S002211207600198551.
Shi
,
J.-M.
,
Breuer
,
M.
, and
Durst
,
F.
, 2002
, “
Wall Effect on Heat Transfer From a Micro-Cylinder in Near-Wall Shear Flow
,” Int. J. Heat Mass Transfer
,
45
(6
), pp. 1309
–1320
.10.1016/S0017-9310(01)00225-352.
Abdella
,
K.
, and
Nalitolela
,
P.
, 2008
, “
Approximate Analytic Solutions for Forced Convection Heat Transfer From a Shear-Flow Past a Rotating Cylinder
,” Appl. Math. Sci.
,
2
(11
), pp. 497
–527
.http://www.mhikari.com/ams/ams-password-2008/ams-password9-12-2008/abdellaAMS9-12-2008.pdf53.
Nemati
,
H.
,
Farhadi
,
M.
,
Sedighi
,
K.
, and
Fattahi
,
E.
, 2011
, “
Multi-Relaxation-Time Lattice Boltzman Model for Uniform-Shear Flow Over a Rotating Circular Cylinder
,” Therm. Sci.
,
15
(3
), pp. 859
–878
.10.2298/TSCI100827082N54.
Ongoren
,
A.
, and
Rockwell
,
D.
, 1988
, “
Flow Structure From an Oscillating Cylinder Part 1. mechanisms of Phase Shift and Recovery in the Near Wake
,” J. Fluid Mech.
,
191
(-1
), pp. 197
–223
.10.1017/S002211208800156955.
Williamson
,
C. H.
, and
Roshko
,
A.
, 1988
, “
Vortex Formation in the Wake of an Oscillating Cylinder
,” J. Fluids Struct.
,
2
(4
), pp. 355
–381
.10.1016/S0889-9746(88)90058-856.
Al-Mdallal
,
Q.
,
Lawrence
,
K.
, and
Kocabiyik
,
S.
, 2007
, “
Forced Streamwise Oscillations of a Circular Cylinder: Locked-on Modes and Resulting Fluid Forces
,” J. Fluids Struct.
,
23
(5
), pp. 681
–701
.10.1016/j.jfluidstructs.2006.11.00157.
Milne-Thomson
,
L. M.
, 1996
, Theoretical Hydrodynamics
,
Courier Corporation
, Dover Publications, INC., New York.58.
Mittal
,
S.
, 2001
, “
Control of Flow Past Bluff Bodies Using Rotating Control Cylinders
,” J. Fluids Struct.
,
15
(2
), pp. 291
–326
.10.1006/jfls.2000.033759.
Paramane
,
S. B.
, and
Sharma
,
A.
, 2010
, “
Heat and Fluid Flow Across a Rotating Cylinder Dissipating Uniform Heat Flux in 2D Laminar Flow Regime
,” Int. J. Heat Mass Transfer
,
53
(21–22
), pp. 4672
–4683
.10.1016/j.ijheatmasstransfer.2010.06.02660.
Yan
,
Y.
, and
Zu
,
Y.
, 2008
, “
Numerical Simulation of Heat Transfer and Fluid Flow Past a Rotating Isothermal Cylinder–a Lbm Approach
,” Int. J. Heat Mass Transfer
,
51
(9–10
), pp. 2519
–2536
.10.1016/j.ijheatmasstransfer.2007.07.053Copyright © 2022 by ASME
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