0
Research Papers: Heat Transfer Enhancement

A Numerical Study of Heat Transfer Enhancement by a Rectangular Cylinder Placed Parallel to the Heated Wall

[+] Author and Article Information
J. F. Derakhshandeh

College of Engineering and Technology,
American University of the Middle East,
Kuwait City 15453, Kuwait
e-mail: javad.farrokhi@aum.edu.kw

Md. Mahbub Alam

Institute for Turbulence-Noise-Vibration
Interaction and Control,
Shenzhen Graduate School,
Harbin Institute of Technology,
Shenzhen 518055, China
e-mail: alamm28@yahoo.com

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 17, 2018; final manuscript received March 13, 2019; published online May 14, 2019. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 141(7), 071901 (May 14, 2019) (11 pages) Paper No: HT-18-1030; doi: 10.1115/1.4043212 History: Received January 17, 2018; Revised March 13, 2019

The flow around a rectangular cylinder mounted in the vicinity of a hot wall is numerically studied at a Reynolds number of 200. While the cylinder chord-to-height ratio C/W is varied from 2 to 10, the gap distance G from the wall to the cylinder is changed from 0.25 to 6.25. The focus of this study is given on the dependence of G/W and C/W on the heat transfer from the wall and associated physics. The variation in the Strouhal number is presented as a function of C/W. It is observed that the effect of G/W on the vortex dynamics and heat transfer is much more than that of C/W. Based on the dependence of the vortex dynamics and heat transfer on G/W, we have identified four distinct flows: no vortex street flow (G/W <0.75), single-row vortex street flow (0.75 ≤ G/W ≤1.25), inverted two-row vortex street flow (1.25 < G/W ≤2.5), and two-row vortex street flow (G/W >2.5). At the single-row vortex street flow, the two opposite-sign vortices appearing in a jetlike flow carry heat from the wall to the wake and then to the freestream. The maximum heat transfer is achieved at the single-row vortex street flow and 8% increase occurs at C/W =2, G/W =0.75–1.25.

FIGURES IN THIS ARTICLE
<>
Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.

References

Alam, Md. M. , Zheng, Q. , Derakhshandeh, J. F. , Rehman, S. , Ji, C. , and Zafar, F. , 2018, “ On Forces and Phase Lags Between Vortex Sheddings From Three Tandem Cylinders,” Int. J. Heat Fluid Flow, 69, pp. 117–135. [CrossRef]
Sarpkaya, T. , 1979, “ Vortex-Induced Oscillations: A Selective Review,” ASME J. Appl. Mech., 46(2), pp. 241–258. [CrossRef]
Griffin, M. , 1981, “ Universal Similarity in the Wakes of Stationary and Vibrating Bluff Structures,” ASME J. Fluids Eng., 103(1), pp. 52–58. [CrossRef]
Duchaine, F. , Boileau, Y. , Sommerer, M. , and Poinsot, T. , 2014, “ Large Eddy Simulation of Flow and Heat Transfer Around Two Square Cylinders in a Tandem Arrangement,” ASME J. Heat Transfer, 136(10), p. 101702. [CrossRef]
Ozalp, A. A. , and Dincer, I. , 2010, “ Laminar Boundary Layer Development Around a Circular Cylinder: Fluid Flow and Heat-Mass Transfer Characteristics,” ASME J. Heat Transfer, 132(12), p. 101703. [CrossRef]
Blevins, R. D. , 1990, Flow-Induced Vibration, Krieger Publishing Company, Malabar, FL.
Norberg, C. , 1994, “ An Experimental Investigation of the Flow Around a Circular Cylinder: Influence of Aspect Ratio,” J. Fluid Mech., 258(1), pp. 287–316. [CrossRef]
Norberg, C. , 2001, “ Flow Around a Circular Cylinder: Aspects of Fluctuating Lift,” J. Fluids Struct., 15(3–4), pp. 459–469. [CrossRef]
Williamson, C. H. K. , and Govardhan, R. , 2004, “ Vortex-Induced Vibrations,” Annu. Rev. Fluid Mech., 36(1), pp. 413–455. [CrossRef]
Derakhshandeh, J. F. , Arjomandi, M. , Cazzolato, B. , and Dally, B. , 2014, “ Experimental and Computational Investigation of Wake-Induced Vibration ,” 19th Australasian Fluid Mechanics Conference (AFMC), Melbourne, Australia, Dec. 8–11.
Derakhshandeh, J. F. , Arjomandi, M. , Cazzolato, B. , and Dally, B. , 2012, “ Numerical Investigation of Vortex-Induced Vibration of an Elastically Mounted Cylinder,” 18th Australasian Fluid Mechanics Conference (AFMC), Launceston, Australia, Dec. 3–7.
Zdravkovich, M. , 1997, Flow Around Circular Cylinders, Vol. 1, Oxford University Press, New York.
Chen, J. M. , and Liu, C.-H. , 1999, “ Vortex Shedding and Surface Pressures on a Square Cylinder at Incidence to a Uniform Air Stream,” Int. J. Heat Fluid Flow, 20(6), pp. 592–597. [CrossRef]
Anagnostopoulos, P. , and Bearman, P. W. , 1992, “ Response Characteristics of a Vortex-Excited Cylinder at Low Reynolds Numbers,” J. Fluids Struct., 6(1), pp. 39–50. [CrossRef]
Williamson, C. H. K. , 1996, “ Three Dimensional Vortex Dynamics in Bluff Body Wake,” Exp. Therm. Fluid Sci., 12(2), pp. 150–168. [CrossRef]
Derakhshandeh, J. F. , Arjomandi, M. , Dally, B. , and Cazzolato, B. , 2014, “ The Effect of Arrangements of Two Circular Cylinders on the Maximum Efficiency of Vortex-Induced Vibration Power Using a Scale-Adaptive Simulation Model,” J. Fluids Struct., 49, pp. 654–666. [CrossRef]
Derakhshandeh, J. F. , Arjomandi, M. , Dally, B. , and Cazzolato, B. , 2015, “ Harnessing Hydro-Kinetic Energy From Wake Induced Vibration Using Virtual Mass Spring Damper System,” J. Ocean Eng., 108, pp. 115–128. [CrossRef]
Derakhshandeh, J. F. , Arjomandi, M. , Dally, B. , and Cazzolato, B. , 2016, “ Flow-Induced Vibration of an Elastically Mounted Airfoil Under the Influence of Oncoming Vortices,” Exp. Therm. Fluid Sci., 74, pp. 58–72. [CrossRef]
Prusa, J. , and Yao, L. S. , 1983, “ Natural Convection Heat Transfer Between Eccentric Horizontal Cylinders,” ASME J. Heat Transfer, 105(1), pp. 108–116. [CrossRef]
Johnson, S. A. , Thompson, M. C. , and Hourigan, K. , 2001, “ Flow Past Elliptical Cylinders at Low Reynolds Numbers,” 14th Australasian Fluid Mechanics Conference, Adelaide, Australia, Dec. 10–14, pp. 343–346.
Mills, R. , Sheridan, J. , and Hourigan, K. , 2003, “ Particle Image Velocimetry and Visualization of Natural and Forced Flow Around Rectangular Cylinders,” J. Fluid Mech., 478, pp. 299–323. [CrossRef]
Hourigan, K. , Thompson, M. C. , and Tan, B. T. , 2001, “ Self-Sustained Oscillations in Flows Around Long Blunt Plates,” J. Fluids Struct., 15(3–4), pp. 387–398. [CrossRef]
Mahir, N. , 2009, “ Three-Dimensional Flow Around a Square Cylinder Near a Wall,” J. Ocean Eng., 36(5), pp. 357–367. [CrossRef]
Sohankar, A. , Davidson, L. , and Norberg, C. , 1995, “ Numerical Simulation of Unsteady Flow Around a Square Two-Dimensional Cylinder,” 12th Australasian Fluid Mechanics Conference (AFMC), Sydney, Australia, Dec. 10–15, pp. 517–520.
Sohankar, A. , Davidson, L. , and Norberg, C. , 2000, “ Numerical Simulation of Flow Past a Square Cylinder,” Fluids Engineering Conference, San Francisco, CA, July 18–23.
Saha, A. K. , Muralidhar, K. , and Biswas, G. , 2000, “ Experimental Study of Flow Past a Square Cylinder at High Reynolds Numbers,” Exp. Fluids, 29(6), pp. 553–563. [CrossRef]
Saha, A. K. , Muralidhar, K. , and Biswas, G. , 2003, “ Three-Dimensional Study of Flow Past a Square Cylinder at Low Reynolds Numbers,” Int. J. Heat Fluid Flow, 24(1), pp. 54–66. [CrossRef]
Sahu, A. K. , Chhabra, R. P. , and Eswaran, V. , 2009, “ Two-Dimensional Unsteady Laminar Flow of a Power Law Fluid Across a Square Cylinder,” J. Non-Newtonian Fluid Mech., 160(2–3), pp. 157–167. [CrossRef]
Tan, B. T. , Thompson, M. C. , and Hourigan, K. , 2004, “ Flow Past Rectangular Cylinders: Receptivity to Transverse Forcing,” J. Fluid Mech., 515, pp. 33–62. [CrossRef]
Tamura, T. , and Kuwahara, K. , 1990, “ Numerical Study of Aerodynamic Behaviour of a Square Cylinder,” J. Wind Eng. Ind. Aerodyn., 33(1–2), pp. 161–170. [CrossRef]
Suzuki, H. , Inoue, Y. , Nishimura, T. , Fukutani, K. , and Suzuki, K. , 1992, “ Unsteady Flow in a Channel Obstructed by a Square Rod (Crisscross Motion of Vortex),” Int. J. Heat Fluid Flow, 14(1), pp. 2–9. [CrossRef]
Nakamura, Y. , Ohya, Y. , and Tsuruta, H. , 1991, “ Experiments on Vortex Shedding From Flat Plates With Square Leading and Trailing Edge,” J. Fluid Mech., 222(1), pp. 437–447. [CrossRef]
Price, S. , Sumner, D. , Smith, J. , Leong, K. , and Paidoussis, M. , 2002, “ Flow Visualization Around a Circular Cylinder Near to a plane Wall,” J. Fluids Struct., 16(2), pp. 175–191. [CrossRef]
Sarkar, S. , and Sarkar, S. , 2010, “ Vortex Dynamics of a Cylinder Wake in Proximity to a Wall,” J. Fluids Struct., 26(1), pp. 19–40. [CrossRef]
Derakhshandeh, J. F. , Arjomandi, M. , Dally, B. , and Cazzolato, B. , 2014, “ Effect of a Rigid Wall on the Vortex-Induced Vibration of Two Staggered Cylinders,” J. Renewable Sustainable Energy, 6(3), p. 033114. [CrossRef]
Durao, D. F. , Gouveia, P. S. T. , and Pereira, J. C. F. , 1991, “ Velocity Characteristics of the Flow Around a Square Cross-Section Cylinder Placed Near a Channel Wall,” Exp. Fluids, 11, pp. 341–350. [CrossRef]
Bosch, G. , Kappler, M. , and Rodi, W. , 1996, “ Experiments on the Flow Past a Square Cylinder Placed Near a Well,” Exp. Therm. Fluid Sci., 13(3), pp. 292–305. [CrossRef]
Martinuzzi, R. J. , Bailey, S. C. C. , and Kopp, G. A. , 2003, “ Influence of Wall Proximity on Vortex Shedding From a Square Cylinder,” Exp. Fluids, 34(5), pp. 585–596. [CrossRef]
Karniadakis, G. E. , 1988, “ Numerical Simulation of Forced Convection Heat Transfer From a Cylinder in Crossflow,” Int. J. Heat Mass Transfer, 31(1), pp. 107–118. [CrossRef]
Sharma, A. , and Eswaran, V. , 2004, “ Heat and Fluid Flow Across a Square Cylinder in the Two-Dimensional Laminar Flow Regime,” Numer. Heat Transfer, Part A, 45(3), pp. 247–269. [CrossRef]
Donne, M. D., and Meyer, L. , 1977, “ Turbulent Convective Heat Transfer From Rough Surfaces With Two-Dimensional Rectangular Ribs,” Int. J. Heat Mass Transfer, 20(6), pp. 583–620. [CrossRef]
Nakagawa, S. , Senda, M. , Kikkawa, S. , Wakasugi, H. , and Hiraide , A., 1998, “ Heat Transfer in Channel Flow Around a Rectangular Cylinder,” Heat Transfer, 27(1), pp. 84–97.
Kamali, R. , and Binesh, A. , 2008, “ The Importance of Rib Shape Effects on the Local Heat Transfer and Flow Friction Characteristics of Square Ducts With Ribbed Internal Surfaces,” Int. Commun. Heat Mass Transfer, 35(8), pp. 1032–1040. [CrossRef]
Patankar, S. V. , 1980, Numerical Heat Transfer and Fluid Flow, Taylor & Francis, Washington, DC.
Zafar, F. , and Alam, M. M. , 2018, “ A Low Reynolds Number Flow and Heat Transfer Topology of a Cylinder in a Wake,” Phys. Fluids, 30(8), p. 083603. [CrossRef]
Zheng, Q. , and Alam, M. M. , 2017, “ Intrinsic Features of Flow Past Three Square Prisms in Side-by-Side Arrangement,” J. Fluid Mech., 826, pp. 996–1033. [CrossRef]
Joda, A. , Cuesta, I. , and Vernet, A. , 2007, “ Numerical Study of Forced Convection Flow Around Rectangular Cylinders With Different Aspect Ratios,” Thermal Issues in Emerging Technologies (ThETA 1), Cairo, Egypt, Jan. 3–6, pp. 227–233.
Schlichting, H. , 1979, Boundary-Layer Theory, 7th ed., McGraw-Hill, New York.
Celik, B. I. , Ghia, U. , Roache, P. G. , Freitas, C. G. , Coleman, H. , and Raad, P. E. , 2008, “ Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications,” ASME J. Fluids Eng., 130(7), p. 078001. [CrossRef]
Derakhshandeh, J. F. , 2015, “ Harnessing Hydrokinetic Energy From Vortex-Induced Vibration (VIV),” Ph.D. thesis, The University of Adelaide, Adelaide, Australia.
Ozono, S. , Ohya, Y. , Nakamura, Y. , and Nakayama, R. , 1992, “ Stepwise Increase in the Strouhal Number for Flows Around Flat Plates,” Int. J. Numer. Methods Fluids, 15(9), pp. 1025–1036. [CrossRef]
Derakhshandeh, J. F. , and Alam, Md. , 2018, “ Flow Structures Around Rectangular Cylinder in the Vicinity of a Wall,” J. Wind Struct., 26(5), pp. 293–304.
Sun, X. , Chan, C. K. , Mei, B. , and Zhua, Z. , 2016, “ LES of Convective Heat Transfer and Incompressible Fluid Flow Past a Square Cylinder,” Numer. Heat Transfer, Part A, 69(10), pp. 1106–1124. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Computational domain and definition of symbols

Grahic Jump Location
Fig. 2

A typical structured mesh distribution around a cylinder with C/W= 10 and G/W = 0.25

Grahic Jump Location
Fig. 3

Variation in Strouhal number Stc as a function of the chord-to-width ratio C/W

Grahic Jump Location
Fig. 4

(a) Dependence of vorticity structure on G/W. Red and green colors represent the maximum (positive) and the minimum (negative) vorticity, respectively; (b) time-mean normalized heat transfer coefficient along the wall at different G/W. The block at the top of the figure shows the scaled cylinder; C/W = 10.

Grahic Jump Location
Fig. 5

(a) Vorticity contours and (b) nondimensional temperature T* = (T − Ti)/(Tw − Ti) contours for different G/W; C/W = 6

Grahic Jump Location
Fig. 6

Variation in normalized temperature T* = (T − Ti)/(Tw − Ti) along the bottom surface of the cylinder for different G/W. The block at the top of the figure shows the scaled cylinder; C/W = 6.

Grahic Jump Location
Fig. 7

Time-mean normalized heat transfer coefficient along the wall at different G/W. The block at the top of the figure shows the scaled cylinder; C/W = 2.

Grahic Jump Location
Fig. 8

Normalized heat transfer coefficient along the wall at different G/W. The block at the top of the figure shows the scaled cylinder; C/W = 4.

Grahic Jump Location
Fig. 9

Normalized heat transfer coefficient along the wall at different G/W. The block at the top of the figure shows the scaled cylinder; C/W = 6.

Grahic Jump Location
Fig. 10

Variation of normalized instantaneous temperature T* = (T − Ti)/(Tw − Ti) at y = 0 for C/W = 6 as a function of G/W. The block at the top of the figure shows the scaled geometry of the rectangular cylinder (C/W = 6).

Grahic Jump Location
Fig. 11

Variation in the time- and surface-averaged heat transfer coefficient of the wall at (a) the upstream (X < −C/2), (b) underneath (−C/2X+C/2) and (c) downstream (X > C/2) of the cylinder as a function of G/W and C/W

Grahic Jump Location
Fig. 12

Variation in the time- and surface-averaged heat transfer coefficient of the entire wall

Grahic Jump Location
Fig. 13

Variation of time–surface heat transfer coefficient as a function of C/W for a) G/W =0.75 and 1.25, b) and G/W = 0.25

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In