Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-12-01T03:50:21.212Z Has data issue: false hasContentIssue false
  • English
  • Français

The role of large-scale vortical structures in transient convective heat transfer augmentation

Published online by Cambridge University Press:  08 February 2013

David O. Hubble ,
Pavlos P. Vlachos  and
Tom E. Diller
David O. Hubble
Affiliation:
Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, USA
Pavlos P. Vlachos*
Affiliation:
Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, USA
Tom E. Diller
Affiliation:
Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The physical mechanism by which large-scale vortical structures augment convective heat transfer is a fundamental problem of turbulent flows. To investigate this phenomenon, two separate experiments were performed using simultaneous heat transfer and flow field measurements to study the vortex–wall interaction. Individual vortices were identified and studied both as part of a turbulent stagnation flow and as isolated vortex rings impacting on a surface. By examining the temporal evolution of both the flow field and the resulting heat transfer, it was observed that the surface thermal transport was governed by the transient interaction of the vortical structure with the wall. The magnitude of the heat transfer augmentation was dependent on the instantaneous strength, size and position of the vortex relative to the boundary layer. Based on these observations, an analytical model was developed from first principles that predicts the time-resolved surface convection using the transient properties of the vortical structure during its interaction with the wall. The analytical model was then applied, first to the simplified vortex ring model and then to the more complex stagnation region experiments. In both cases, the model was able to accurately predict the time-resolved convection resulting from the vortex interactions with the wall. These results reveal the central role of large-scale turbulent structures in the augmentation of thermal transport and establish a simple model for quantitative predictions of transient heat transfer.

JFM classification

Turbulent Flows: Turbulent convection Vortex Flows: Vortex Flows Vortex Flows: Vortex interactions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 718 , 10 March 2013 , pp. 89 - 115
Copyright
©2013 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adrian, R. J., Christensen, K. T. & Liu, Z.-C. 2000 Analysis and interpretation of instantaneous turbulent velocity fields. Exp. Fluids 29 (3), 275–290.Google Scholar
Ames, F. E. 1997 The influence of large-scale high-intensity turbulence on vane heat transfer. Trans. ASME: J. Turbomach. 119 (1), 23–30.Google Scholar
Araya, G., Leonardi, S. & Castillo, L. 2008 Numerical assessment of local forcing on the heat transfer in a turbulent channel flow. Phys. Fluids 20, 085105.Google Scholar
Arévalo, G., Hernandez, R. H., Nicot, C. & Plaza, F. 2007 Vortex ring head-on collision with a heated vertical plate. Phys. Fluids 19, 083603.CrossRefGoogle Scholar
Arévalo, G., Hernández, R. H., Nicot, C. & Plaza, F. 2010 Particle image velocimetry measurements of vortex rings head-on collision with a heated vertical plate. Phys. Fluids 22, 053604.CrossRefGoogle Scholar
Baines, W. D. & Peterson, E. G. 1951 An investigation of flow through screens. Trans. ASME: J. Heat Transfer 73, 467–480.Google Scholar
Chong, M. S., Perry, A. E. & Cantwell, B. J. 1990 A general classification of 3-dimensional flow-fields. Phys. Fluids A 2 (5), 765–777.Google Scholar
Doligalski, T. L., Smith, C. R. & Walker, J. D. A. 1994 Vortex interactions with walls. Annu. Rev. Fluid Mech. 26 (1), 573–616.CrossRefGoogle 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.Google Scholar
Eckstein, A. C., Charonko, J. & Vlachos, P. 2008 Phase correlation processing for DPIV measurements. Exp. Fluids 45 (3), 485–500.Google Scholar
Eckstein, A. & Vlachos, P. P. 2009a Assessment of advanced windowing techniques for digital particle image velocimetry (DPIV). Meas. Sci. Technol. 20 (7), 075402.Google Scholar
Eckstein, A. C. & Vlachos, P. 2009b Digital particle image velocimetry (DPIV) robust phase correlation. Meas. Sci. Technol. 20, 14.Google Scholar
Ewing, J. A. 2006 Development of a direct-measurement thin-film heat flux array. PhD thesis, Blacksburg.Google Scholar
Figliola, R. S. & Beasley, D .E. 2000 Theory and Design for Mechanical Measurements, 3rd edn. John Wiley & Sons.Google Scholar
Gifford, A. R., Diller, T. E. & Vlachos, P. P. 2011 The physical mechanism of heat transfer augmentation in stagnating flows subject to freestream turbulence. J. Heat Transfer 133 (2), 021901.Google Scholar
Goldstein, S. 1938 Modern Devlopments in Fluid Dynamics, vol. 2. Dover, 632.Google Scholar
Holmberg, D. G. & Diller, T. E. 2005 Simultaneous heat flux and velocity measurements in a transonic turbine cascade. Trans. ASME: J. Turbomach. 127 (3), 502.Google Scholar
Hubble, D. O. & Diller, T. E. 2010a A hybrid method for measuring heat flux. Trans. ASME: J. Heat Transfer 132 (3), 031602.Google Scholar
Hubble, D. O. & Diller, T. E. 2010b Development and evaluation of the time-resolved heat and temperature array. ASME J. Therm. Sci. Engng Appl. 2.Google Scholar
Hutchins, N. & Marusic, I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28.Google Scholar
Incropera, F. & DeWitt, D. 2002 Introduction to Heat Transfer, 5th edn John Willey & Sons.Google Scholar
Kataoka, K. 1990 Impingement heat-transfer augmentation due to large-scale eddies, In Proceedings of the 9th International Heat Transfer Conference, vol. l, KN-l5, pp. 255–273.Google Scholar
Kestin, J. 1966 The effect of free stream turbulence on heat transfer rates. Adv. Heat Transfer 3, 1–32.Google Scholar
Lowery, G. W. & Vachon, R. I. 1975 Effect of turbulence on heat-transfer from heated cylinders. Intl J. Heat Mass Transfer 18 (11), 1229–1242.Google Scholar
Martin, R. & Zenit, R. 2008 Heat transfer resulting from the interaction of a vortex pair with a heated wall. Trans. ASME: J. Heat Transfer 130 (5), 051701.Google Scholar
Marusic, I., Mathis, R. & Hutchins, N. 2010 Predictive model for wall-bounded turbulent flow. Science 329 (5988), 193–196.Google Scholar
Mayle, R. E., Dullenkopf, K. & Schulz, A. 1998 The turbulence that matters. Trans. ASME: J. Turbomach. 120 (3), 402–409.Google Scholar
Moss, R. W. & Oldfield, M. L. G. 1996 Effect of free stream turbulence on flat-plate heat flux signals: Spectra and eddy transport velocities. Trans. ASME: J. Turbomach. 118 (3), 461–467.Google Scholar
Nix, A. C., Diller, T. E. & Ng, W. F. 2007 Experimental measurements and modelling of the effects of large-scale free stream turbulence on heat transfer. J. Trans. ASME: Turbomach. 129 (3), 542–550.Google Scholar
Ostrach, S. 1953 An analysis of laminar free-convection flow and heat transfer about a flat plate parallel tot he direction of the generating body force. Report 1111. National Advisory Committee for Aeronautics.Google Scholar
Panton, R. 2005 Incompressible Flow, 3rd edn. Wiley.Google Scholar
Pavlova, A. & Amitay, M. 2006 Electronic cooling using synthetic jet impingement. Trans ASME: J. Heat Transfer 128, 897–907.Google Scholar
Raffel, M., Willert, C., Wereley, S. & Kompenhans, J. 2007 Particle Image Velocimetry. Springer.Google Scholar
Romero-Mendez, R., Sen, M., Yang, K. T. & McClain, R. L. 1998 Enhancement of heat transfer in an inviscid-flow thermal boundary layer due to a Rankine vortex. Intl J. Heat Mass Transfer 41 (23), 3829–3840.Google Scholar
Sabatino, D. R. & Smith, C. R. 2008 Turbulent spot flow topology and mechanisms for surface heat transfer. J. Fluid Mech. 612, 81–105.Google Scholar
Shariff, K. & Leonard, A. 1992 Vortex rings. Annu. Rev. Fluid Mech. 24, U235–U279.Google Scholar
Sutera, S. 1965 Vorticity amplification in stagnation-point flow and its effect on heat transfer. J. Fluid Mech. 21, 513–534.Google Scholar
Vanfossen, 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
Vanfossen, 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
Walker, J. D. A., Smith, C. R., Cerra, A. W. & Doligalski, T. L. 1987 The impact of a vortex ring on a wall. J. Fluid Mech. 181, 99–140.CrossRefGoogle Scholar
Westerweel, J. 1997 Fundamentals of digital particle image velocimetry. Meas. Sci. Technol. 8 (12), 1379–1392.Google Scholar
White, F. M. 1974 Viscous Fluid Flow, 3rd edn. pp. 598–599 McGraw-Hill Science/Engineering/Math.Google Scholar
Xiong, Z. M. & Lele, S. K. 2007 Stagnation-point flow under free stream turbulence. J. Fluid Mech. 590, 1–33.Google Scholar
Yuan, T. D. & Liburdy, J. A. 1992 Application of a surface renewal model to the prediction of heat-transfer in an impinging jet. Intl J. Heat Mass Transfer 35 (8), 1905–1912.Google Scholar
Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353–396.Google Scholar

Hubble et al. supplementary movie

Time accurate vortex-wall interaction in turbulent stagnation flow and measured heat transfer

Download Hubble et al. supplementary movie(Video)
Video 26.1 MB