ORIGINAL ARTICLE
Taylor-Couette-Poiseuille flow heat transfer in a high Taylor number test rig
Phillip B. Swann 1  
,   Hugh Russell 1  
,   Ingo H. Jahn 1  
 
More details
Hide details
1
The University of Queensland, Brisbane QLD 4072 Australia
CORRESPONDING AUTHOR
Phillip B. Swann   

The University of Queensland, Brisbane QLD 4072 Australia
Submission date: 2021-01-04
Acceptance date: 2021-07-16
Publication date: 2021-08-31
 
J. Glob. Power Propuls. Soc. 2021;5:126–147
 
KEYWORDS
TOPICS
ABSTRACT
As technology advances, rotating machinery are operating at higher rotational speeds and increased pressures with greater heat concentration (i.e. smaller and hotter). This combination of factors increases structural stresses, while increasing the risk of exceeding temperature limits of components. To reduce stresses and protect components, it is necessary to have accurately designed thermal management systems with well-understood heat transfer characteristics. Currently, available heat transfer correlations operating within high Taylor number (above 1×10^10) flow regimes are lacking. In this work, the design of a high Taylor number flow experimental test rig is presented. A non-invasive methodology, used to capture the instantaneous heat flux of the rotating body, is also presented. Capability of the test rig, in conjunction with the use of high-density fluids, increases the maximum Taylor number beyond that of previous works. Data of two experiments are presented. The first, using air, with an operating Taylor number of 8.8± 0.8 ×10^7 and an effective Reynolds number of 4.2± 0.5 ×10^3, corresponds to a measured heat transfer coefficient of 1.67 ± 0.9 ×10^2 W/m2K and Nusselt number of 5.4± 1.5×10^1. The second, using supercritical carbon dioxide, demonstrates Taylor numbers achievable within the test rig of 1.32±0.8×10^12. A new correlation using air, with operating Taylor numbers between 7.4×10^6 and 8.9×10^8 is provided, comparing favourably with existing correlations within this operating range. A unique and systematic approach for evaluating the uncertainties is also presented, using the Monte-Carlo method.
FUNDING
This research was performed as part of the Australian Solar Thermal Research Initiative (ASTRI), a project supported by Australian Government.
COMPETING INTERESTS
Phillip B. Swann declares that he has no conflict of interest. Ingo H. Jahn declares that he has no conflict of interest. Hugh Russell declares that he has no conflict of interest.
 
REFERENCES (19)
1.
Aoki H., Nohira H., and Arai H. (1967). Convective heat transfer in an annulus with an inner rotating cylinder. Bulletin of JSME. 10: 523–532. 10.1299/jsme1958.10.523.
 
2.
Ball K. S., Farouk B., and Dixit V. C. (1989). An experimental study of heat transfer in a vertical annulus with a rotating inner cylinder. International Journal of Heat and Mass Transfer. 32: 1517–1527. 10.1016/0017-9310(89)90073-2.
 
3.
Battaglia J.-L., Cois O., Puigsegur L., and Oustaloup A. (2001). Solving an inverse heat conduction problem using a non-integer identified model. International Journal of Heat and Mass Transfer. 44: 2671–2680. 10.1016/S0017-9310(00)00310-0.
 
4.
Childs P. R. N. and Long C. A. (1996). A review of forced convective heat transfer in stationary and rotating annuli. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 210: 123–134. 10.1243/PIME_PROC_1996_210_179_02.
 
5.
Childs P. and Turner A. (1994). Heat transfer on the surface of a cylinder rotating in an annulus at high axial and rotational Reynolds numbers. In Institution of Chemical Engineers Symposium Series. Hemsphere Publishing Corporation, pp. 13–13.
 
6.
Dawood H. K., Mohammed H. A., Che Sidik N. A., Munisamy K. M., and Wahid M. A. (2015). Forced, natural and mixed-convection heat transfer and fluid flow in annulus: A review. International Communications in Heat and Mass Transfer. 62: 45–57. 10.1016/j.icheatmasstransfer.2015.01.006.
 
7.
Fénot M., Bertin Y., Dorignac E., and Lalizel G. (2011). A review of heat transfer between concentric rotating cylinders with or without axial flow. International Journal of Thermal Sciences. 50: 1138–1155. 10.1016/j.ijthermalsci.2011.02.013.
 
8.
Gardarein J.-L., Battaglia J.-L., and Löhle S. (2009). Heat flux sensor calibration using noninteger system identification: Theory, experiment, and error analysis. Review of Scientific Instruments. 80: 025103. 10.1063/1.3079328.
 
9.
Heshmat H., Walton J. F., and Córdova J. L. (2018). Technology Readiness of 5th and 6th Generation Compliant Foil Bearing for 10 MWE S-CO2 Turbomachinery Systems. In: 6th International Supercritical CO2 Power Cycles Synposium, Pittsburgh, PA, USA.
 
10.
Howey D. A., Childs P. R. N., and Holmes A. S. (2012). Air-gap convection in rotating electrical machines. IEEE Transactions on Industrial Electronics. 59: 1367–1375. 10.1109/TIE.2010.2100337.
 
11.
Jakoby R., Kim S., and Wittig S. (1998). Correlations of the convective heat transfer in annular channels with rotating inner cylinder, volume 4: Heat transfer; electric power; industrial and cogeneration. In Presented at the ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition, ASME, Stockholm, Sweden, p. V004T09A016. 10.1115/98-GT-097.
 
12.
Keep J. A., Head A. J., and Jahn I. H. (2017). Design of an efficient space constrained diffuser for supercritical CO2 turbines. Journal of Physics: Conference Series 821: 012026. 10.1088/1742-6596/821/1/012026.
 
13.
Masuda H., Yoshida S., Horie T., Ohmura N., and Shimoyamada M. (2018). Flow dynamics in Taylor–Couette flow reactor with axial distribution of temperature. AIChE Journal. 64: 1075–1082. 10.1002/aic.15972.
 
14.
Schultz D. L. and Jones T. V. (1973). Heat-transfer Measurements in Short-duration Hypersonic Facilities. North Atlantic Treaty Organization, Advisory Group for Aerospace Research and Development (AGARDograph). Available at: https://books.google.com.au/books?id=Fv56nQEACAAJ.
 
15.
Seghir-Ouali S., Saury D., Harmand S., Phillipart O., and Laloy D. (2006). Convective heat transfer inside a rotating cylinder with an axial air flow. International Journal of Thermal Sciences. 45: 1166–1178. 10.1016/j.ijthermalsci.2006.01.017.
 
16.
Smith G. P. and Townsend A. A. (1982). Turbulent Couette flow between concentric cylinders at large Taylor numbers. Journal of Fluid Mechanics. 123: 187–217.
 
17.
Swann P. (2020). Investigation into Taylor-Couette-Poiseuille flow heat transfer for supercritical carbon dioxide turbomachinery. PhD Thesis, The University of Queensland. 10.14264/uql.2020.913.
 
18.
Tachibana F., Fukui S., and Mitsmura H. (1960). Heat transfer in an annulus with an inner rotating cylinder. Bulletin of JSME. 3: 119–123. 10.1299/jsme1958.3.119.
 
19.
Yin F., Tiemstra F. S., and Rao A. G. (2018). Development of a flexible turbine cooling prediction tool for preliminary design of gas turbines. The Journal of Engineering for Gas Turbines and Power. 140: 091201. 10.1115/1.4039732.
 
eISSN:2515-3080