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Parallel rotation for negating Coriolis force effect on heat transfer

Published online by Cambridge University Press:  31 January 2020

A. Sarja ,
P. Singh Open the ORCID record for P. Singh [Opens in a new window]  and
S.V. Ekkad
A. Sarja
Affiliation:
Department of Mechanical and Aerospace Engineering North Carolina State University Raleigh, NCUSA
P. Singh*
Affiliation:
Department of Mechanical Engineering Mississippi State University Mississippi State, MSUSA
S.V. Ekkad
Affiliation:
Department of Mechanical and Aerospace Engineering North Carolina State University Raleigh, NCUSA
*
[email protected]
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Abstract

Gas turbine blades feature multi-pass internal cooling channels, through which relatively colder air bled from the compressor is routed to cool internal walls. Under rotation, due to the influence of Coriolis force and centrifugal buoyancy, heat transfer at the trailing side enhances and that at the leading side reduces, for a radially outward flow. This non-uniform temperature distribution results in increased thermal stress, which is detrimental to blade life. In this study, a rotation configuration is presented which can negate the Coriolis force effect on heat and fluid flow, thereby maintaining uniform heat transfer on leading and trailing walls. A straight, smooth duct of unit aspect ratio is considered to demonstrate the concept and understand the fluid flow within the channel and its interaction with the walls. The new design is compared against the conventional rotation design. Numerical simulations under steady-state condition were carried out at a Reynolds number of 25000, where the Rotation numbers were varied as 0, 0.1, 0.15, 0.2, 0.25. Realisable version of k-$\varepsilon$ model was used for turbulence modelling. It was observed that new rotation (parallel) configuration’s heat transfer on leading and trailing sides were near similar, and trailing side was marginally higher compared to leading side. An interesting phenomenon of secondary Coriolis effect is reported which accounts for the minor differences in heat transfer augmentation between leading and trailing walls. Due to centrifugal buoyancy, the fluid is pushed towards the radially outward wall, resulting in a counter-rotating vortex pair, which also enhances the heat transfer on leading and trailing walls when compared to stationary case.

Keywords

heat transferrotationCoriolis effect
Type
Research Article
Information
The Aeronautical Journal , Volume 124 , Issue 1274 , April 2020 , pp. 581 - 596
Copyright
© Royal Aeronautical Society 2020

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Footnotes

A version of this paper was presented at the 24th ISABE Conference in Canberra, Australia, September 2019.

References

REFERENCES

DOE NETL, The Gas Turbine Handbook, 2006.Google Scholar
Johnson, B.V., Wagner, J.H., Steuber, G.D. and Yeh, F.C. Heat transfer in rotating serpentine passages with trips skewed to the flow, International Gas Turbine and Aeroengine Congress and Exposition June 1992, American Society of Mechanical Engineers, pp V004T09A008.CrossRefGoogle Scholar
Dutta, S., Andrews, M.J. and Han, J.C., Simulation of Turbulent Heat Transfer in a Rotating Duct. AIAA J Thermophysics and Heat Transfer, 1994, 9, (2), pp 381–382.CrossRefGoogle Scholar
Cheah, S.C., Iacovides, H., Jackson, D.C., Ji, H. and Launder, B.E.LDA investigation of the flow development through rotating U-ducts. ASME J Turbomachinery, 1996, 118, pp 590–596.CrossRefGoogle Scholar
Stephens, M.A., Shih, T.I-P. and Civinskas, K.C. Computations of flow and heat transfer in a rotating U-shaped square duct with smooth walls. AIAA Paper 96-3161, Joint Propulsion Conference, July 1996.CrossRefGoogle Scholar
Kuo, C.R. and Hwang, G.J.Experimental studies and correlations of radially outward and inward air-flow heat transfer in a rotating square duct. ASME J Heat Transfer, 1996, 118, (1), pp 23–30.CrossRefGoogle Scholar
Stephens, M.A. and Shih, T.I-P.Computations of flow and heat transfer in a smooth U-shaped square duct with and without rotation. AIAA J Propulsion and Power, 1999, 15, (2), pp 272–279.CrossRefGoogle Scholar
Lin, Y.-L., Shih, T.I-P., Stephens, M.A. and Chyu, M.K.A numerical study of flow and heat transfer in a smooth and a ribbed U-duct with and without rotation. ASME J Heat Transfer, 2001, 123, pp 219–232.CrossRefGoogle Scholar
Chang, S.W. and Morris, W.D.Heat transfer in a radially rotating square duct fitted with in-line transverse ribs. International Journal of Thermal Sciences, 2003, 42, (3), pp 267–282.CrossRefGoogle Scholar
Parsons, J.A., Han, J.C. and Zhang, Y.Effect of model orientation and wall heating condition on local heat transfer in a rotating two-pass square channel with rib turbulators. International Journal of Heat and Mass Transfer, 1995, 38, (7), pp 1151–1159.CrossRefGoogle Scholar
Al-Hadhrami, L. and Han, J.C.Effect of rotation on heat transfer in two-pass square channels with five different orientations of 45 angled rib turbulators. International Journal of Heat and Mass Transfer, 2003, 46, (4), pp 653–669.CrossRefGoogle Scholar
Dutta, S. and Han, J.C.Local heat transfer in rotating smooth and ribbed two-pass square channels with three channel orientations. J Heat Transfer, 1996, 118, (3), pp 578–584.CrossRefGoogle Scholar
Singh, P. and Ekkad, S.V. Experimental investigation of rotating rib roughened two-pass square duct with two different channel orientations. ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, June 2017, American Society of Mechanical Engineers, pp. V05AT16A012.CrossRefGoogle Scholar
Singh, P., Li, W., Ekkad, S.V. and Ren, J.A new cooling design for rib roughened two-pass channel having positive effects of rotation on heat transfer enhancement on both pressure and suction side internal walls of a gas turbine blade. International Journal of Heat and Mass Transfer, 2017, 115, pp 6–20.CrossRefGoogle Scholar
Humphreys, J.F., Morris, W.D. and Barrow, H.Convection heat transfer in the entry region of a tube which revolves about an axis parallel to itself, International Journal of Heat and Mass Transfer, 1967, 10, (3), pp 333–340.CrossRefGoogle Scholar
Morris, W.D.Heat Transfer and Fluid Flow in Rotating Coolant Channels, Research Studies Press, J. Wiley and Sons, New York, 1981.Google Scholar
Morris, W.D. and Woods, J.L.Heat transfer in the entrance region of tubes that rotate about a parallel axis. J Mechanical Engineering Science, 1978, 20, (6), pp 319–325.CrossRefGoogle Scholar
Morris, W.D. and Dias, F.M.Turbulent Heat Transfer in a Revolving Square-Sectioned Tube. J Mechanical Engineering Science, 1980, 22, (2), pp 95–101.CrossRefGoogle Scholar
Levy, S., Neti, S., Brown, G. and Bayat, F.Laminar heat transfer and pressure drop in a rectangular duct rotating about a parallel axis. ASME J Heat Transfer, 1986, 108, pp 350–356.CrossRefGoogle Scholar
Soong, C.Y. and Yan, W.M.Development of Secondary flow and convective heat transfer in isothermal/iso-flux rectangular ducts rotating about a parallel axis. International Journal of Heat and Mass Transfer, 1999, 42, (3), pp 497–510.CrossRefGoogle Scholar
Mahadevappa, M., Rammohan Rao, V. and Sastri, V.M.K.Numerical study of steady laminar fully developped fluid flow and heat transfer in rectangular and elliptical ducts rotating about a parallel axis. International Journal of Heat and Mass Transfer, 1996, 39, (4), pp 867–875.CrossRefGoogle Scholar
Sleiti, A.K. and Kapat, J.S.Heat transfer in channels in parallel mode rotation at high rotation numbers. J Thermophysics and Heat Transfer, 2006, 20, (4), pp 748–753.CrossRefGoogle Scholar
Fasquelle, A., PellÉ, J., Harmand, S. and Shevchuk, I.V.Numerical study of convective heat transfer enhancement in a pipe rotating around a parallel axis. ASME Journal of Heat Transfer, 2014, 136, (5), pp 051901–051914.CrossRefGoogle Scholar