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Direct numerical simulation of heat transfer from a cylinder immersed in the production and decay regions of grid-element turbulence

Published online by Cambridge University Press:  23 May 2018

I. Paul Open the ORCID record for I. Paul [Opens in a new window] ,
G. Papadakis Open the ORCID record for G. Papadakis [Opens in a new window]  and
J. C. Vassilicos Open the ORCID record for J. C. Vassilicos [Opens in a new window]
I. Paul*
Affiliation:
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
G. Papadakis*
Affiliation:
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
J. C. Vassilicos*
Affiliation:
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
*
†Email addresses for correspondence: p.immanuvel@imperial.ac.uk, g.papadakis@imperial.ac.uk, j.c.vassilicos@imperial.ac.uk
†Email addresses for correspondence: p.immanuvel@imperial.ac.uk, g.papadakis@imperial.ac.uk, j.c.vassilicos@imperial.ac.uk
†Email addresses for correspondence: p.immanuvel@imperial.ac.uk, g.papadakis@imperial.ac.uk, j.c.vassilicos@imperial.ac.uk
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Abstract

The present direct numerical simulation (DNS) study, the first of its kind, explores the effect that the location of a cylinder, immersed in the turbulent wake of a grid-element, has on heat transfer. An insulated single square grid-element is used to generate the turbulent wake upstream of the heated circular cylinder. Due to fine-scale resolution requirements, the simulations are carried out for a low Reynolds number. Three locations downstream of the grid-element, inside the production, peak and decay regions, respectively, are considered. The turbulent flow in the production and peak regions is highly intermittent, non-Gaussian and inhomogeneous, while it is Gaussian, homogeneous and fully turbulent in the decay region. The turbulence intensities at the location of the cylinder in the production and decay regions are almost equal at 11 %, while the peak location has the highest turbulence intensity of 15 %. A baseline simulation of heat transfer from the cylinder without oncoming turbulence was also performed. Although the oncoming turbulent intensities are similar, the production region increases the stagnation point heat transfer by 63 %, while in the decay region it is enhanced by only 28 %. This difference cannot be explained only by the increased approaching velocity in the production region. The existing correlations for the stagnation point heat transfer coefficient are found invalid for the production and peak locations, while they are satisfied in the decay region. It is established that the flow in the production and peak regions is dominated by shedding events, in which the predominant vorticity component is in the azimuthal direction. This leads to increased heat transfer from the cylinder, even before vorticity is stretched by the accelerating boundary layer. The frequency of oncoming turbulence in production and peak cases also lies close to the range of frequencies that can penetrate the boundary layer developing on the cylinder, and therefore the latter is very responsive to the impinging disturbances. The highest Nusselt number along the circumference of the cylinder is shifted 45 degrees from the front stagnation point. This shift is due to the turbulence-generating grid-element bars that result in the prevalence of intense events at the point of maximum Nusselt number compared to the stagnation point.

JFM classification

Turbulent Flows: Turbulence simulation Vortex Flows: Vortex interactions Wakes/Jets: Wakes
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 847 , 25 July 2018 , pp. 452 - 488
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Copyright
© 2018 Cambridge University Press 

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References

Ames, F. E.1991 Heat transfer with high intensity, large scale turbulence: the flat plate turbulent boundary layer and the cylindrical stagnation point. Dept. Mech. Engng. Rep. HMT–44. Stanford University.Google Scholar
Ames, F. E. 1995 The influence of large scale high intensity turbulence on vane heat transfer. In ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition, V004T09A021. American Society of Mechanical Engineers.Google Scholar
Ames, F. E., Wang, C. & Barbot, P. A. 2002 Measurement and prediction of the influence of catalytic and dry low NOx combustor turbulence on vane surface heat transfer. In ASME Turbo Expo 2002: Power for Land, Sea, and Air, pp. 969–980. American Society of Mechanical Engineers.Google Scholar
Balay, S., Abhyankar, S., Adams, M., Brown, J., Brune, P., Buschelman, K., Eijkhout, V., Gropp, W., Kaushik, D., Knepley, M. et al. 2014 PETSc users manual, revision 3.5. Tech. Rep. Argonne National Laboratory (ANL).Google Scholar
Bhaskaran, R. & Lele, S. K. 2010 Large eddy simulation of free-stream turbulence effects on heat transfer to a high-pressure turbine cascade. J. Turbul. 11, 1–15.Google Scholar
Bisset, D. K., Hunt, J. C. R. & Rogers, M. M. 2002 The turbulent/non-turbulent interface bounding a far wake. J. Fluid Mech. 451, 383–410.Google Scholar
Chowdhury, N. & Ames, F. E. 2013 The response of high intensity turbulence in the presence of large stagnation regions. In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition, V03CT14A020. American Society of Mechanical Engineers.Google Scholar
Dimopoulos, H. G. & Hanratty, T. J. 1968 Velocity gradients at the wall for flow around a cylinder for Reynolds numbers between 60 and 360. J. Fluid Mech. 33 (2), 303–319.Google Scholar
Dullenkopf, K. & Mayle, R. E. 1994 The effects of incident turbulence and moving wakes on laminar heat transfer in gas turbines. Trans. ASME J. Turbomach. 116 (1), 23–28.Google Scholar
Dullenkopf, K. & Mayle, R. E. 1995 An account of free-stream-turbulence length scale on laminar heat transfer. Trans. ASME J. Turbomach. 117 (3), 401–406.CrossRefGoogle Scholar
Dullenkopf, K., Schulz, A. & Wittig, S.1990 The effect of incident wake conditions on the mean heat transfer of an airfoil. In ASME 1990 International Gas Turbine and Aeroengine Congress and Exposition, V004T09A023. American Society of Mechanical Engineers.CrossRefGoogle Scholar
Eckert, E. R. G. 1952 Distribution of heat-transfer coefficients around circular cylinders in crossflow at Reynolds numbers from 20 to 500. Trans. ASME 74, 343–347.Google Scholar
Gomes-Fernandes, R., Ganapathisubramani, B. & Vassilicos, J. C. 2012 Particle image velocimetry study of fractal-generated turbulence. J. Fluid Mech. 711, 306–336.CrossRefGoogle Scholar
Hubble, D. O., Vlachos, P. P. & Diller, T. E. 2013 The role of large-scale vortical structures in transient convective heat transfer augmentation. J. Fluid Mech. 718, 89–115.Google Scholar
Hunt, J. C. R. 1973 A theory of turbulent flow round two-dimensional bluff bodies. J. Fluid Mech. 61 (4), 625–706.Google Scholar
Jones, W. P. & Launder, B. E. 1973 The calculation of low-Reynolds-number phenomena with a two-equation model of turbulence. Intl J. Heat Mass Transfer. 16 (6), 1119–1130.Google Scholar
Junkhan, G. H. & Serovy, G. K. 1967 Effects of free-stream turbulence and pressure gradient on flat-plate boundary-layer velocity profiles and on heat transfer. Trans. ASME J. Heat Transfer 89 (2), 169–175.Google Scholar
Kestin, J., Maeder, P. F. & Wang, H. E. 1961 Influence of turbulence on the transfer of heat from plates with and without a pressure gradient. Intl J. Heat Mass Transfer 3 (2), 133–154.Google Scholar
Kingery, J. E. & Ames, F. E. 2016 Stagnation region heat transfer augmentation at very high turbulence levels. Trans. ASME J. Turbomach. 138 (8), 081005.Google Scholar
Krall, K. M. & Eckert, E. R. G. 1973 Local heat transfer around a cylinder at low Reynolds number. Trans. ASME J. Heat Transfer 95 (2), 273–275.CrossRefGoogle Scholar
Laizet, S., Nedić, J. & Vassilicos, J. C. 2015 Influence of the spatial resolution on fine-scale features in DNS of turbulence generated by a single square grid. Intl J. Comput. Fluid Dyn. 29 (3–5), 286–302.Google Scholar
Liu, X. & Rodi, W. 1994 Surface pressure and heat transfer measurements in a turbine cascade with unsteady oncoming wakes. Exp. Fluids 17 (3), 171–178.CrossRefGoogle Scholar
Lowery, G. W. & Vachon, R. I. 1975 The effect of turbulence on heat transfer from heated cylinders. Intl J. Heat Mass Transfer 18 (11), 1229–1242.Google Scholar
Magari, P. J. & LaGraff, L. E. 1994 Wake-induced unsteady stagnation-region heat transfer measurements. Trans. ASME J. Turbomach. 116 (1), 29–38.Google Scholar
Mazellier, N. & Vassilicos, J. C. 2010 Turbulence without Richardson–Kolmogorov cascade. Phys. Fluids 22 (7), 075101.CrossRefGoogle Scholar
Melina, G., Bruce, P. J. K., Hewitt, G. F. & Vassilicos, J. C. 2017 Heat transfer in production and decay regions of grid-generated turbulence. Intl J. Heat Mass Transfer 109, 537–554.Google Scholar
Paul, I.2017 Evolution of velocity and scalar gradients in a spatially developing turbulence. PhD thesis, Imperial College, London.Google Scholar
Paul, I., Papadakis, G. & Vassilicos, J. C. 2017 Genesis and evolution of velocity gradients in near-field spatially developing turbulence. J. Fluid Mech. 815, 295–332.Google Scholar
Paul, I., Papadakis, G. & Vassilicos, J. C. 2018 Evolution of passive scalar statistics in a spatially developing turbulence. Phys. Rev. Fluids 3 (1), 014612.Google Scholar
Paul, I., Prakash, K. A., Vengadesan, S. & Pulletikurthi, V. 2016 Analysis and characterisation of momentum and thermal wakes of elliptic cylinders. J. Fluid Mech. 807, 303–323.CrossRefGoogle Scholar
Paxson, D. E. & Mayle, R. E. 1991 Laminar boundary layer interaction with an unsteady passing wake. Trans. ASME J. Turbomach. 113 (3), 419–427.Google Scholar
Schlichting, H. & Gersten, K. 2016 Boundary-layer Theory. Springer.Google Scholar
Seoud, R. E. & Vassilicos, J. C. 2007 Dissipation and decay of fractal-generated turbulence. Phys. Fluids 19 (10), 105108.CrossRefGoogle Scholar
Son, J. S. & Hanratty, T. J. 1969 Numerical solution for the flow around a cylinder at Reynolds numbers of 40, 200 and 500. J. Fluid Mech. 35 (2), 369–386.Google Scholar
Taveira, R. R., Diogo, J. S., Lopes, D. C. & da Silva, C. B. 2013 Lagrangian statistics across the turbulent–nonturbulent interface in a turbulent plane jet. Phys. Rev. E 88 (4), 043001.Google Scholar
Valente, P. C. & Vassilicos, J. C. 2011 The decay of turbulence generated by a class of multiscale grids. J. Fluid Mech. 687, 300–340.CrossRefGoogle Scholar
Van Fossen, G. J., Simoneau, R. J. & Ching, C. Y. 1995 Influence of turbulence parameters, Reynolds number, and body shape on stagnation-region heat transfer. Trans. ASME J. Heat Transfer 117 (3), 597–603.Google Scholar
Van Fossen, G. J. & Simoneau, R. J. 1987 A study of the relationship between free-stream turbulence and stagnation region heat transfer. Trans. ASME J. Heat Transfer 109 (1), 10–15.Google Scholar
Vassilicos, J. C. 2015 Dissipation in turbulent flows. Annu. Rev. Fluid Mech. 47, 95–114.Google Scholar
Venema, L., Von Terzi, D., Bauer, H.-J. & Rodi, W. 2011 DNS of heat transfer increase in a cylinder stagnation region due to wake-induced turbulence. Intl J. Heat Fluid Flow 32 (3), 492–498.Google Scholar
Venema, L., Von Terzi, D., Bauer, H.-J. & Rodi, W. 2014 Direct numerical simulation of stagnation point heat transfer affected by varying wake-induced turbulence. Trans. ASME J. Turbomach. 136 (2), 021008.Google Scholar
Watanabe, T., Sakai, Y., Nagata, K., Ito, Y. & Hayase, T. 2014 Vortex stretching and compression near the turbulent/non-turbulent interface in a planar jet. J. Fluid Mech. 758, 754–785.Google Scholar
Wissink, J. G. & Rodi, W. 2006 Direct numerical simulation of flow and heat transfer in a turbine cascade with incoming wakes. J. Fluid Mech. 569, 209–247.Google Scholar
Wissink, J. G. & Rodi, W. 2009 DNS of heat transfer in transitional, accelerated boundary layer flow over a flat plate affected by free-stream fluctuations. Intl J. Heat Fluid Flow 30 (5), 930–938.CrossRefGoogle Scholar
Wissink, J. G. & Rodi, W. 2011a Direct numerical simulation of heat transfer from the stagnation region of a heated cylinder affected by an impinging wake. J. Fluid Mech. 669, 64–89.CrossRefGoogle Scholar
Wissink, J. G. & Rodi, W. 2011b Heat transfer from the stagnation area of a heated cylinder at Re D = 140 000 affected by free-stream turbulence. Intl J. Heat Mass Transfer 54 (11), 2535–2541.Google Scholar
Xiong, Z. & Lele, S. K. 2004 Distortion of upstream disturbances in a Hiemenz boundary layer. J. Fluid Mech. 519, 201–232.Google Scholar
Xiong, Z. & Lele, S. K. 2007 Stagnation-point flow under free-stream turbulence. J. Fluid Mech. 590, 1–33.Google Scholar
Yardi, N. R. & Sukhatme, S. P. 1978 Effects of turbulence intensity and integral length scale of a turbulent free stream on forced convection heat transfer from a circular cylinder in cross flow. In 6th International Heat Transfer Conference, vol. 5, pp. 347–352. Hemisphere.Google Scholar
Zdravkovich, M. M. 1997 Flow Around Circular Cylinders: Vol. 1: Fundamentals. Oxford University Press.Google Scholar
Zhou, Y., Nagata, K., Sakai, Y., Ito, Y. & Hayase, T. 2016a Enstrophy production and dissipation in developing grid-generated turbulence. Phys. Fluids 28 (2), 025113.CrossRefGoogle Scholar
Zhou, Y., Nagata, K., Sakai, Y., Ito, Y. & Hayase, T. 2016b Spatial evolution of the helical behavior and the 2/3 power-law in single-square-grid-generated turbulence. Fluid Dyn. Res. 48 (2), 021404.Google Scholar
Zhou, Y., Nagata, K., Sakai, Y., Suzuki, H., Ito, Y., Terashima, O. & Hayase, T. 2014 Development of turbulence behind the single square grid. Phys. Fluids 26 (4), 045102.Google Scholar
Zhou, Y. & Vassilicos, J. C. 2017 Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation. J. Fluid Mech. 821, 440–457.Google Scholar