Abstract
Unsteady flow and convective heat transfer over single and two tandem cylinders at constant-heat-flux condition in subcritical range of Reynolds number was numerically investigated. Two-dimensional computations were performed by adopting 3-equation k-kl-ω turbulence model using a commercial software FLUENT®. The aim was to investigate the capabilities of k-kl-ω turbulence model for collective flow and heat transport conditions past cylindrical bodies and then to identify a critical spacing ratio for the maximum heat transport. The center-to-center spacing ratio (L/D) was varied in the range from 1.2 to 4.0. Instantaneous path lines and vorticity contours were generated to interpret the interaction of shear layer and vortices from upstream cylinder with the downstream cylinder. Comparison of pressure coefficients, fluctuating and average lift as well as drag coefficients, Strouhal number and the local and average Nusselt numbers with the available literatures indicated a reasonably good agreement. The combined outcome of flow field and heat transfer study revealed a critical spacing ratio of L/D = 2.2. Based on the present investigation, a correlation has been suggested to calculate overall average Nusselt number of the two cylinders placed in tandem.
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References
B. M. Sumer, Hydrodynamics around cylindrical structures, World Scientific, Singapore (1997).
M. M. Zdravkovich, Flow around circular cylinders, vol 1: fundamentals, Oxford U. Press, London (1997).
M. M. Zdravkovich, Flow around circular cylinders, vol 2: applications, Oxford U. Press, London (2003).
R. J. Goldstein, W. E. Ibele, S. V. Patankar, T. W. Simon, T. H. Kuehn, P. J. Strykowski, K. K. Tamma, J. V. R. Heberlein, J. H. Davidson, J. Bischof, F. A. Kulacki, U. Kortshagen, S. Garrick, V. Srinivasan, K. Ghosh and R. Mittal, Heat Transfer-A review of 2005 literature, Int. J. of Heat and Mass Transfer, 53 (2010) 4397–4447.
A. Kondjoyan and H. C. Boisson, Comparison of calculated and experimental heat transfer coefficients at the surface of circular cylinders placed in a turbulent cross-flow of air, J. of Food Engineering, 34 (1997) 123–143.
K. Szczepanik, A. Ooi, L. Aye and G. Rosengarten, A numerical study of heat transfer from a cylinder in cross flow, Proc. of 15th Australasian Fluid Mechanics Conference, Sydney, Australia (2004).
B. A. Younis, M. C. Banica and B. Weigand, Prediction of vortex shedding with heat transfer, Numerical Heat Transfer, Part A, 48 (2005) 1–19.
Md. M. Rahman, Md. M. Karim and Md. A. Alim, Numerical investigation of unsteady flow past a circular cylinder using 2-d finite volume method, J. of Naval Architecture and Marine Engineering, 4 (2007) 27–42.
S. Mittal, V. Kumar and A. Raghuvanshi, Unsteady incompressible flows past two cylinders in tandem and staggered arrangements, Int. J. for Numerical Methods in Fluids, 25 (1997) 1315–1344.
J. R. Meneghini, F. Saltara, C. L. R. Siqueira and J. A. Ferrari Jr., Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements, J. of Fluids and Structures, 15 (2001) 327–350.
W. Jester and Y. Kallinderis, Numerical study of incompressible flow about fixed cylinder pairs, J. of Fluids and Structures, 17 (2003) 561–577.
B. S. Carmo, J. R. Meneghini and S. J. Sherwin, Secondary instabilities in the flow around two circular cylinders in tandem, J. of Fluid Mech., 644 (2010) 395–431.
R. Jiang, J. Lin and X. Ku, Numerical predictions of flows past two tandem cylinders of different diameters under unconfined and confined flows, Fluid Dyn. Res., 46 (2014) 1–22.
H. Chen, Z. Zheng, Z. Chen and T. B. Xiaotao, Simulation of flow and heat transfer around a heated stationary circular cylinder by lattice gas automata, Powder Technology, 290 (2016) 72–82.
S. U. Islam and C. Y. Zhou, Numerical simulation of flow around a row of circular cylinders using the lattice Boltzmann method, Information Technology Journal, 8 (2009) 513–520.
S. U. Islam, C. Y. Zhou and A. Farooq, Numerical simulations of cross-flow around four square cylinders in an in-line rectangular configuration, Int. J. of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 3 (9) (2009) 1138–1147.
G. Juncu, A numerical study of momentum and forced convection heat transfer around two tandem circular cylinders at low Reynolds numbers Part II: Forced convection heat transfer, Int. J. of Heat and Mass Transfer, 50 (2007) 3799–3808.
N. Mahir and Z. Altac, Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements, Int. J. of Heat and Fluid Flow, 29 (2009) 1309–1318.
S. Jayawel and S. Tiwari, Numerical investigation of incompressible flow past circular tubes in confined channel, CFD Letters, 1 (1) (2009) 1–14.
I. Harimi and M. Saghafian, Numerical simulation of fluid flow and forced convection heat transfer from tandem circular cylinders using overset grid method, J. of Fluids and Structures, 28 (2012) 309–327.
D. Lee, J. Ahn and S. Shin, Uneven longitudinal pitch effect on tube bank heat transfer in cross flow, Applied Thermal Engineering, 51 (2013) 937–947.
T. Igarashi, Characteristics of flow around two circular cylinders arranged in tandem, Bulletin of JSME, 24 (188) (1981) 323–331.
Md. M. Alam, M. Moriya, K. Takai and H. Sakamoto, Fluctuating fluid forces acting on two circular cylinders in a tandem arrangement at a subcritical Reynolds number, J. Wind Eng. Ind. Aerodyn., 91 (2003) 139–154.
T. Kitagawa and H. Ohta, Numerical investigation on flow around circular cylinders in tandem arrangement at a subcritical Reynolds number, J. of Fluids and Structures, 24 (2008) 680–699.
Z. G. Kostic and S. N. Oka, Fluid flow and heat transfer with two cylinders in cross flow, Int. J. of Heat and Mass Transfer, 15 (2) (1972) 279–282.
T. Igarashi and H. Yamasaki, Fluid flow and transfer around two circular cylinders arranged in tandem, Proc. of 2nd JSME-KSME Thermal Engineering Conf. (1992) 7–12.
E. Buyruk, Heat transfer and flow structures around circular cylinders in cross-flow, Tr. J. Engineering and Environmental Science, 23 (1999) 299–315.
A. Daloglu and A. Unal, Heat Transfer from a cylinder in wake flow, Int. Comm. Heat Mass Transfer, 27 (4) (2000) 569–580.
T. Tsutsui and T. Igarashi, Heat transfer enhancement of a circular cylinder, ASME J. Heat Transfer, 128 (2006) 226–233.
J. H. Lin, C. -K. Chen and Y.-T. Yang, An inverse method for simultaneous estimation of the center and surface thermal behavior of a heated cylinder normal to a turbulent air stream, ASME J. Heat Transfer, 124 (2002) 601–608.
E. Coment, T. Loulou and D. Maillet, Estimation of local heat transfer coefficient on a cylinder: comparison between an analytical and an optimization method, Inverse Problems in Science and Engineering, 13 (5) (2005) 449–467.
C.-K. Chen, L.-W. Wu and Y.-T. Yang, Application of the inverse method to the estimation of heat flux and temperature on the external surface in laminar pipe flow, Appl. Therm. Eng., 26 (2006) 1714–1724.
H.-T. Chen, J. C. Chou and H. C. Wang, Estimation of heat transfer coefficient on a vertical plate fin of finned-tube heat exchangers for various air speeds and fin spacing, Int. J. Heat Mass Transfer, 50 (2007) 45–57.
H.-T. Chen and W.-L. Hsu, Estimation of heat transfer coefficient on the fin of annular finned-tube heat exchangers in natural convection for various fin spacings, Int. J. Heat Mass Transfer, 50 (2007) 1750–1761.
H.-T. Chen and W.-L. Hsu, Estimation of heat transfer characteristics on a vertical annular circular fin of finnedtube heat exchangers in forced convection, Int. J. Heat Mass Transfer, 51 (2008) 1920–1932.
J. Taler, Determination of local heat transfer coefficient from the solution of the inverse heat conduction problem, Forsch Ingenieurwes, 71 (2007) 69–78.
E. E. M. Olsson, H. Janestad, L. M. Ahrne, A. C. Tragardh and R. P. Singh, Determination of local heat-transfer coefficients around a circular cylinder under an impinging air jet, Int. J. of Food Properties, 11 (2008) 600–612.
A. H. Benmachiche, C. Bougriou and S. Abboudi, Inverse determination of the heat transfer characteristics on a circular plane fin in a finned-tube bundle, Int. J. of Heat Mass Transfer, 46 (2010) 1367–1377.
W. L. Chen, Estimation of heat flux on the surface of an initially hot cylinder cooled by a laminar confined impinging jet, Int. J. of Heat and Mass Transfer, 55 (2012) 597–606.
W. Linke, New measurements on aerodynamics of cylinders particularly their friction resistance (in German), Physikalische Zeitschrift, 38 (1931) 476–98 (Courtesy:[2]).
M. S. Macovsky, Vortex-Induced vibration studies, Report No. 1190, Navy Department, David Tayler Model Basin, Hydromechanics Laboratory, July (1958).
H. C. Perkins and G. Leppert, Forced convection heat transfer from a uniformly heated cylinder, J. of Heat Transfer, 84 (1962) 257–263.
H. C. Perkins and G. Leppert, Local heat-transfer coefficients on a uniformly heated cylinder, Int. J. Heat Mass Transfer, 7 (1964) 143–158.
R. M. Fand, Heat transfer by forced convection from a cylinder to water in crossflow, Int. J. of Heat Mass Transfer, 8 (1965) 995–1010.
A. A. Zukauskas, Heat transfer from tubes in cross-flow, Adv. Heat Transfer, 8 (1972) 93–160.
T. Igarashi and M. Hirata, Heat transfer in separated flows Part 2: Theoretical Analysis, Heat Transfer-Jpn Res., 6 (3) (1977) 60–78.
S. Yokuda and B. R. Ramaprian, The dynamics of flow around a cylinder at subcritical Reynolds numbers, Phys. Fluids A, 2 (5) (1990) 784–791.
L. Ljungkrona, C. H. Norberg and B. Sunde´n, Free-stream turbulence and tube spacing effects on surface pressure fluctuations for two tubes in an in-line arrangement, J. of Fluids and Structures, 5 (1991) 701–727.
J. W. Scholten and D. B. Murray, Unsteady heat transfer and velocity of a cylinder in cross flow-I. Low free stream turbulence, In. J. Heat Mass Transfer, 41 (100) (1998) 1139–1148.
S. Ozono, J. Oda, Y. Yoshida and Y. Wakasugi, Critical nature of the base pressure of the upstream circular cylinder in two staggered ones in cross-flow, Theoretical and Applied Mechanics, 50 (2001) 335–340.
S. Sanitjai and R. J. Goldstein, Heat transfer from a circular cylinder to mixtures of water and ethylene glycol, Int. J. Heat Mass Transfer, 47 (2004) 4795–4805.
H. Nakamura and T. Igarashi, Unsteady heat transfer from a circular cylinder for Reynolds numbers from 3000 to 15,000, Int. J. of Heat and Fluid Flow, 25 (2004) 741–748.
S. Dong, G. E. Karniadakis, A. Ekmekci and D. Rockwell, A combined direct numerical simulation-particle image velocimetry study of the turbulent near wake, J. Fluid Mech., 569 (2006) 185–207.
T. Kitagawa and H. Ohta, Numerical investigation on flow around circular cylinders in tandem arrangement at a subcritical Reynolds number, J. of Fluids and Structures, 24 (2008) 680–699.
ANSYS, Inc., Fluent 14.0, ANSYSFLUENT Theory Guide, (2011).
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Recommended by Associate Editor Donghyun You
S. K. Dhiman received his B.E. in Mechanical Engineering, Government Engineering College, Rani Durgavati University, Jabalpur (India) and M.Tech. in Thermal Engineering, Maulana Azad National Institute of Technology, Bhopal (India). He is an Assistant Professor of Mechanical Engineering at Birla Institute of Technology, Mesra, Ranchi (India). His principal domain of research is fluid mechanics and heat transfer.
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Dhiman, S.K., Kumar, A. & Prasad, J.K. Unsteady computation of flow field and convective heat transfer over tandem cylinders at subcritical Reynolds numbers. J Mech Sci Technol 31, 1241–1257 (2017). https://doi.org/10.1007/s12206-017-0223-0
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DOI: https://doi.org/10.1007/s12206-017-0223-0