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Computational modelling of the flow and heat transfer in dimpled channels

Part of: ISABE 2017

Published online by Cambridge University Press:  17 July 2017

K. Abo Amsha ,
T.J. Craft  and
H. Iacovides
K. Abo Amsha*
Affiliation:
Turbulence Mechanics Group, School of MACE, The University of Manchester, Manchester, UK
T.J. Craft
Affiliation:
Turbulence Mechanics Group, School of MACE, The University of Manchester, Manchester, UK
H. Iacovides
Affiliation:
Turbulence Mechanics Group, School of MACE, The University of Manchester, Manchester, UK
*
[email protected]
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Abstract

The flow and heat transfer characteristics over a single dimple and an array of staggered dimples have been investigated using the Reynolds Averaged Navier-Stokes (RANS) approach. The objective is to determine how reliably RANS models can predict this type of complex cooling flows. Three classes of low-Reynolds number RANS models have been employed to represent the turbulence. These included a linear Eddy Viscosity Model (EVM), a Non-Linear Model (NLEVM) and a Reynolds Stress transport Model (RSM). Variants of the k-ε model have been used to represent the first two categories. Steady and time-dependent simulations have been carried out at a bulk Reynolds number of around 5,000 with dimple print diameter to channel height ratios of D/H = 1.0, 2.0 and ratios of dimple depth to channel height of δ/H = 0.2, 0.4. The linear EVM and the RSM tested both produce symmetric circulations in the dimples, while the NLEVM produces an asymmetric pattern. The mean velocity profiles predicted numerically are generally in good agreement with the data. The main flow characteristics are reproduced by the RANS models, but some predictive deviations from available data point to the need for further investigations. All models report an overall enhancement in heat transfer levels when using dimples in comparison to those of a plane channel.

Keywords

Turbine blade coolingdimplesturbulence modellingRANS
Type
Research Article
Information
The Aeronautical Journal , Volume 121 , Special Issue 1242: The International Society of Air-breathing Engines (ISABE) 2017 Conference Special Issue , August 2017 , pp. 1066 - 1086
Copyright
Copyright © Royal Aeronautical Society 2017 

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Footnotes

This paper will be presented at the ISABE 2017 Conference, 3-8 September 2017, Manchester, UK.

References

REFERENCES

1. Han, J.C., Dutta, S. and Ekkad, S. Gas Turbine Heat Transfer and Cooling Technology, 2nd ed, 2013, CRC Press, Taylor & Francis Group, Boca Raton/London/New York.Google Scholar
2. Kwon, H.G., Hwang, S.D. and Cho, H.H. Measurement of local heat/mass transfer coefficients on a dimple using naphthalene sublimation, Int J Heat Mass Transfer, 2011, 54 (5-6), pp 1071–1080.CrossRefGoogle Scholar
3. Isaev, S. A., Leontev, A. I. and Baranov, P. A. Identification of self-organized vortexlike structures in numerically simulated turbulent flow of a viscous incompressible liquid streaming around a well on a plane, Technical Physics Letters, 2000, 26, (1), pp 15–18.CrossRefGoogle Scholar
4. Isaev, S.A., Leont’ev, A.I., Metov, Kh T. and Kharchenko, V.B. Modeling of the influence of viscosity on the tornado heat exchange in turbulent flow around a small hole on the plane, J Engineering Physics and Thermophysics, 2002, 75, (4), pp 890–898.CrossRefGoogle Scholar
5. Isaev, S.A., Leontev, A.I. and Baranov, P.A. Simulating tornado-like enhancement of heat transfer under low-velocity motion of air in a rectangular dimpled channel. Part 2, Thermal Engineering, 2007, 54, (8), pp 655–663.CrossRefGoogle Scholar
6. Isaev, S.A., Leontiev, A.I., Kudryavtsev, N.A. and Pyshnyi, I.A. The effect of rearrangement of the vortex structure on heat transfer under conditions of increasing depth of a spherical dimple on the wall of a narrow channel, High Temperature, 2003a, 41, (2), pp 229–232.CrossRefGoogle Scholar
7. Isaev, S.A., Leont’ev, A.I., Baranov, P.A. and Pyshnyi, I.A. Numerical analysis of the influence of the depth of a spherical hole on a plane wall on turbulent heat exchange, J Engineering Physics and Thermophysics, 2003b, 76, (1), pp 61–69.CrossRefGoogle Scholar
8. Kornev, N., Turnow, J., Hassel, E., Isaev, S. and Wurm, F.H. Fluid mechanics and heat transfer in a channel with spherical and oval dimples, in Deville, M., Lł, T.-H. and Sagaut, P. (Eds), Turbulence and Interactions, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 110, 2010, Springer, Berlin, pp 231–237.CrossRefGoogle Scholar
9. Voskoboinick, V., Kornev, N. and Turnow, J. Study of near wall coherent flow structures on dimpled surfaces using unsteady pressure measurements, Flow, Turbulence and Combustion, 2013, 90, (4), pp 709–722.CrossRefGoogle Scholar
10. Lin, Y.-L., Shih, T.I-P. and Chyu, M.K. Computations of flow and heat transfer in a channel with rows of hemispherical cavities, Proceedings of the International Gas Turbine and Aeroengine Congress and Exhibition, Heat Transfer; Electric Power; Industrial and Cogeneration, vol. 3, 1999, p V003T01A081.CrossRefGoogle Scholar
11. Wang, Z., Yeo, K.S. and Khoo, B.C. DNS of low Reynolds number turbulent flows in dimpled channels, J Turnbull, 2006, 7, p N37.Google Scholar
12. Mahmood, G.I., Moon, H.-K., Glezer, B., Hill, M.L., Nelson, D.L. and Ligrani, P.M. Local heat transfer and flow structure on and above a dimpled surface in a channel, J Turbomachinery, 2000, 123, (1), pp 115–123.CrossRefGoogle Scholar
13. Ligrani, P.M., Harrison, J.L., Mahmmod, G.I. and Hill, M.L. Flow structure due to dimple depressions on a channel surface, Physics of Fluids, 2001, 13, (11), pp 3442–3451.CrossRefGoogle Scholar
14. Mahmood, G.I. and Ligrani, P.M. Heat transfer in a dimpled channel: Combined influences of aspect ratio, temperature ratio, Reynolds number, and flow structure, Int J Heat Mass Transfer, 2002, 45, pp 2011–2020.CrossRefGoogle Scholar
15. Moon, H. K., O’Connell, T. and Glezer, B. Channel height effect on heat transfer and friction in a dimpled passage, J Engineering for Gas Turbines Power, 2000, 122 (2), pp 307–313.CrossRefGoogle Scholar
16. Burgess, N.K., Oliveira, M.M. and Ligrani, P.M. Nusselt number behavior on deep dimpled surfaces within a channel, J Heat Transfer, 2003, 125, pp 11–18, 2003.CrossRefGoogle Scholar
17. Burgess, N.K. and Ligrani, P.M. Effects of dimple depth on channel Nusselt numbers and friction factors, J of Heat Transfer, 2004, 127, (8), pp 839–847.CrossRefGoogle Scholar
18. Won, S.Y. and Ligrani, P.M. Numerical predictions of flow structure and local Nusselt number ratios along and above dimpled surfaces with different dimple depths in a channel, Numerical Heat Transfer, Part A, 2004, 46, pp 549–570.CrossRefGoogle Scholar
19. Launder, B.E. and Sharma, B.I. Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc, Letters in Heat Mass Transfer, 1974, 1, (2), pp 131–137.CrossRefGoogle Scholar
20. Yap, C.J. Turbulent Heat and Momentum Transfer in Recirculating and Impinging Flows, PhD Thesis, 1987, Faculty of Technology, University of Manchester, Manchester, UK.Google Scholar
21. Craft, T.J., Launder, B.E. and Suga, K. Development and application of a cubic eddy-viscosity model of turbulence, Int J of Heat Fluid Flow, 1996, 17, (2), pp 108–115.CrossRefGoogle Scholar
22. Hanjalić, K. and Jakirlić, S. Second-moment turbulence closure modelling, in Launder, B.E. and Sandham, N.D., (Eds), Closure Strategies for Turbulent and Transitional Flows, Cambridge University Press, Cambridge, UK, 2002.Google Scholar
23. Lien, F.S. and Leschziner, M.A. A general non-orthogonal collocated finite volume algorithm for turbulent flow at all speeds incorporating second-moment turbulence-transport closure, part 1, Computer Methods in Applied Mech and Engineering, 1994a, 114 (12), pp 123–148.CrossRefGoogle Scholar
24. Lien, F.S. and Leschziner, M.A. Upstream monotonic interpolation for scalar transport with application to complex turbulent flows, Int J of Numerical Methods Fluids, 1994b, 19, (6), pp 527–548.CrossRefGoogle Scholar
25. Won, S.Y., Zhang, Q. and Ligrani, P.M. Comparisons of flow structure above dimpled surfaces with different dimple depths in a channel, Physics of Fluids, 2005, 17 (4), p 045105.CrossRefGoogle Scholar
26. Tay, C.M., Chew, Y.T., Khoo, B.C. and Zhao, J.B. Development of flow structures over dimples, Experimental Thermal and Fluid Science, 2014, 52, pp 278–287.CrossRefGoogle Scholar
27. Craft, T.J., Iacovides, H. and Yoon, J.H. Progress in the use of non-linear two-equation models in the computation of convective heat-transfer in impinging and separated flows, Flow, Turbulence and Combustion, 2000, 63, (1-4), pp 59–80.CrossRefGoogle Scholar
28. Menter, F.R. Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J, 1994, 32, (8), pp 1598–1605.CrossRefGoogle Scholar