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Vortex mechanism of heat transfer enhancement in a channel with spherical and oval dimples

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Abstract

Vortex mechanism of heat transfer enhancement in a narrow channel with dimples has been investigated numerically using LES and URANS methods. The flow separation results in a formation of vortex structures which significantly enhance heat transfer on dimpled surfaces leading to a small increase in pressure loss. The heat transfer can be significantly increased by rounding the dimple edge and use of oval dimples. To get a deep insight into flow physics LES is performed for single phase flow in a channel with a spherical dimple. The instantaneous vortex formation and separation are investigated in and around the dimple area. Considered are Reynolds numbers (based on dimple print diameter) ReD = 20,000 and ReD = 40,000 the depth to print diameter ratio of Δ = 0.26. Frequency analysis of LES data revealed the presence of dominating frequencies in unsteady flow oscillations. Direct analysis of the flow field revealed the presence of coherent vortex structure inclined to the mean flow. The structure changes its orientation in time causing the long period oscillations with opposite-of-phase motion. Three dimensional proper orthogonal decomposition (POD) analysis is carried out on LES pressure and velocity fields to identify spatio-temporal structures hidden in the random fluctuations. Tornado-like spatial POD structures have been determined inside dimples.

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Abbreviations

a(n) :

Time coefficients of POD mode

Cp :

Pressure coefficient

D:

Dimple imprint diameter

H:

Channel height

k:

Heat conductivity

Nu:

Nusselt number

P:

Pressure

r:

Rounding radius of the dimple edge

t:

Dimple depth, time

T:

Temperature

T+ :

Normalized temperature

ui :

Velocity component

Pr:

Prandtl number

Prt :

Turbulent Prandtl number

x :

Physical coordinates

t+ :

Non-dimensional time

λ:

Eigenvalues in POD analysis

Φ (n) i :

Spatial functions in POD analysis

References

  1. Chyu MK, Yu Y, Ding H, Downs JP, Soechting F (1997) Concavity enhanced heat transfer in an internal cooling passage. ASME Paper No 97-GT-437

  2. Gromov PR, Zobnin A, Rabinovich MI, Sushik MM (1986) Creation of solitary vortices in a flow around shallow spherical depressions. Sov Tech Phys Lett. No. 12, 547

  3. Terekhov VI, Kalinina SV, Mshvidobadse YM (1997) Heat transfer coefficient and aerodynamic resistance on a surface with a single dimple. Enhanc Heat Transf 4:131–145

    Google Scholar 

  4. Mahmood GI, Hill ML, Nelson DL, Ligrani PM (2000) Local heat transfer and flow structure on and above a dimpled surface in a channel. ASME Paper No. 2000-GT-230

  5. Won SY, Zhang Q, Ligrani PM (2005) Comparisons of flow structure above dimpled surface with different dimple depths in a channel. Phys Fluids, vol 17, N4

  6. Ligrani PM, Harrison JL, Mahmood GI, Hill ML (2001) Flow structure due to dimple depressions on a channel surface. Phys Fluids 13(N11):3442–3448

    Article  Google Scholar 

  7. Shukin AV, Kozlov AP, Agachev, Chudnovski YP (2003) Enhancement of heat transfer by dimpled surfaces under influence of perturbation factors Kazan, Technical University Kazan, pp 142 (in Russian)

  8. Isaev SA, Leont’ev AI (2003) Vortex enhancement of heat transfer under conditions of turbulent flow past a spherical dimple on the wall of a narrow channel. High Temp, vol 41, No. 5, pp 655–679

  9. Menter FR (1993) Zonal two equation k − ω turbulence model predictions. AIAA Paper No. 93-2906

  10. Isaev SA, Leont’ev AI (2002) Verification of the multiblock computational technology in calculating laminar and turbulent flow around a spherical hole on a channel wall. J Eng Phys Thermophys 75:1155–1158

    Article  Google Scholar 

  11. Zang Y, Street RL, Koseff JR (1993) A dynamic mixed subgrid-scale model and its application to turbulent recirculating flow. Phys Fluids A5 12:3186–3196

    Article  Google Scholar 

  12. Vreman B, Geurts B, Kuerten H (1994) On the formulation of the dynamic mixed subgridscale model. Phys Fluids 6(12):4057–4059

    Article  MATH  Google Scholar 

  13. Kirkpatrick M, Mansour N, Ackerman A, Stevens D (2003) Dynamic turbulence modelling in large-eddy simulations of the cloud-topped atmospheric boundary layer Centre for Turbulent Research, Ann Res Briefs, pp 23–37

  14. Kornev NV, Tkatchenko I, Hassel E (2006) A simple clipping procedure for the dynamic mixed model based on Taylor series approximation. Commun Numer Methods Eng 22:55–61

    Article  MATH  MathSciNet  Google Scholar 

  15. Keating A, Piomello U, Balaras E (2004) A priori and posteriori tests of inflow conditions for large-eddy simulation. Phys Fluids, vol 16, No. 12

  16. Isaev SA, Kornev NV, Leontiev AI, Hassel E (2010) Influence of the Reynolds number and the spherical dimple depth on turbulent heat transfer and hydraulic loss in a narrow channel Intl. J Heat Mass Transf 53(1–3):178–197

    Article  MATH  Google Scholar 

  17. Kiknadze GI, Oleinikov VG (1990) Self-organization of tornado-like vortex structures in gas and liquid flows and heat transfer intensification, Novosibirsk. Proc Inst Thermophys 227, S 46 (Preprint)

  18. Lee SB, Kang W, Sung HJ (2008) Organized self-sustained oscillations of turbulent flows over an open cavity. AIAA J, vol 46, No. 11, pp 2848–2856

  19. Lumley J (1970) Stochastic tools in turbulence. Academic Press, New York

    MATH  Google Scholar 

  20. Berkooz G, Holmes P, Lumley JL (1993) The proper orthogonal decomposition in the analysis of turbulent flows. Ann Rev Fluid Mech 25:539–576

    Article  MathSciNet  Google Scholar 

  21. Sirovich L (1987) Turbulence and the dynamic of coherent structures. Part 1–3. Q Appl Math 45(3):561–590

    MATH  MathSciNet  Google Scholar 

  22. Isaev SA, Leont’ev AI, Mitjakov AV, Pyshnyi IA (2003) Intensification of tornado-like heat transfer in asymmetric dimples. J Eng Phys Thermophys 76:31–34

    Google Scholar 

Download references

Acknowledgments

This work was supported by the Deutsche Forschungsgemeinschaft under project HA 2226/11-1. Numerical calculations have been performed on IBM pSeries 690 Supercomputer at the North German Alliance for the Advancement of High-Performance Computing (HLRN).

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Authors and Affiliations

  1. Department of Technical Thermodynamics, University of Rostock, 18059, Rostock, Germany

    J. Turnow, N. Kornev, S. Isaev & E. Hassel

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  1. J. Turnow
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  2. N. Kornev
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Correspondence to J. Turnow.

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Turnow, J., Kornev, N., Isaev, S. et al. Vortex mechanism of heat transfer enhancement in a channel with spherical and oval dimples. Heat Mass Transfer 47, 301–313 (2011). https://doi.org/10.1007/s00231-010-0720-5

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