International Journal of Thermal Sciences 155 (2020) 106453
Available online 30 April 2020
1290-0729/© 2020 Elsevier Masson SAS. All rights reserved.
Thermal buoyancy effects on the fow feld and heat transfer of a rotating
cylinder: A numerical study
Erfan Salimipour
Department of Mechanical Engineering, Quchan University of Technology, Quchan, Iran
A R T I C L E INFO
Keywords:
Rotating cylinder
Buoyancy
Flow pattern
Lift coeffcient
Drag coeffcient
Nusselt number
ABSTRACT
The present paper numerically investigates the laminar, two-dimensional and horizontal fow around a hori-
zontal isothermal rotating cylinder under the buoyancy effect. To study the buoyancy effect, a range of Grashof
numbers from 0 to 12 � 10
4
is used, and to check the effect of the cylinder rotation, the ratio of the rotational
speed to the free-stream velocity between 4.5 and 4.5 is applied. The simulation is carried out at the Reynolds
number of 200 and the Prandtl number of 0.7. To simulate the fuid fow, the Navier-Stokes equations are
numerically solved using a fnite-volume scheme. Results show that the interaction of the main stream with the
rotation and buoyancy can alter the fow feld and heat transfer characteristics such as fow pattern, surface
pressure distribution, lift and drag coeffcients, and Nusselt number. The clockwise (cw) rotation decreases the
amplitude of oscillations in the fow compared to the counterclockwise (ccw) rotation. In ccw rotation, as the
Grashof number increases, the mean lift coeffcient increases; while in cw rotation, increase in the Grashof
number reduces the mean lift coeffcient. Moreover, in terms of Grashof numbers ranging between 8 � 10
4
and
12 � 10
4
, the Nusselt number is almost unchanged.
1. Introduction
When a circular cylinder exposed to a uniform stream rotates, an
asymmetric secondary fow is created around it. This asymmetric fow
causes the pressure difference between the top and bottom surfaces of
the cylinder, which leads to the generation of the lift force on the cyl-
inder [1]. This generated force can have a variety of applications such as
a ship sail, a means for fow control as well as in Magnus wind turbines.
The fow around stationary cylinder itself has a considerable complexity
due to the vortex shedding behind the cylinder. The cylinder rotation
increases this complexity by creating a secondary fow. Numerous
research studies have been carried out on the fow past rotating cylinder
and its aerodynamic forces [2–8]. Moreover, if the buoyancy effects are
also added to the fow around the rotating cylinder, the complexity of
the fow and heat transfer will increase. In such a case, the fnal fow is a
combination of three fows such as freestream, fow due to the cylinder
rotation, and fow due to the buoyancy. This is important in addition to
engineering applications such as defrosting the Magnus wind turbines,
in terms of fow physics and heat transfer. Research studies have shown
that this fow can be investigated in various respects. Michaux and
B� elorgey [9] experimentally analyzed the effects of the fow separation
of a cylinder with viscosity-buoyancy interaction for different Reynolds
numbers. According to their experiments, for the Richardson numbers
less than 0.5, the forced convection and for the Richardson numbers
greater than 0.5, the free convection heat transfer predominates. Mo-
rales et al. [10] simulated the fow and mixed convection heat transfer
around a rotating cylinder in a range of Rayleigh numbers between 10
3
and 10
8
and Reynolds numbers between 0 and 557 using the Large Eddy
Simulation (LES) method. Furthermore, Soong [11] studied the effects of
thermal buoyancy on non-isothermal rotational fows using a numerical
simulation. Ghazanfarian and Nobari [12] investigated the fow and
convection heat transfer characteristics of the fow past a rotating cyl-
inder with vertical oscillations for the Reynolds numbers of 50, 100, and
200, speed ratios between 0 and 2.5, and Prandtl numbers of 0.7, 6, and
20. They observed that as the cylinder speed ratio increased, the Nusselt
number and drag coeffcient decreased. Moreover, Paramane and
Sharma [13] studied the fow and heat transfer from a rotating circular
cylinder with uniform heat fux in terms of Reynolds numbers ranging
from 20 to 160 and speed ratios between 0 and 6. They proposed a
relation to calculate the heat transfer in the laminar fow regime. In
addition, Liao and Lin [14] numerically studied the fow and mixed
convection heat transfer of a heated spinning cylinder enclosed in a
square enclosure in a range of Rayleigh numbers between 10
4
and 10
6
and Prandtl numbers from 0.07 to 7. Their results showed that the
E-mail addresses: esalimipour@qiet.ac.ir, erfan.salimipour@gmail.com.
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International Journal of Thermal Sciences
journal homepage: http://www.elsevier.com/locate/ijts
https://doi.org/10.1016/j.ijthermalsci.2020.106453
Received 4 November 2019; Received in revised form 22 March 2020; Accepted 23 April 2020