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Experimental Study on Momentum Transfer of Surface Texture in Taylor-Couette Flow

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Abstract

The behavior of Taylor-Couette (TC) flow has been extensively studied. However, no suitable torque prediction models exist for high-capacity fluid machinery. The Eckhardt-Grossmann-Lohse (EGL) theory, derived based on the Navier–Stokes equations, is proposed to model torque behavior. This theory suggests that surfaces are the significant energy transfer interfaces between cylinders and annular flow. This study mainly focuses on the effects of surface texture on momentum transfer behavior through global torque measurement. First, a power-law torque behavior model is built to reveal the relationship between dimensionless torque and the Taylor number based on the EGL theory. Second, TC flow apparatus is designed and built based on the CNC machine tool to verify the torque behavior model. Third, four surface texture films are tested to check the effects of surface texture on momentum transfer. A stereo microscope and three-dimensional topography instrument are employed to analyze surface morphology. Global torque behavior is measured by rotating a multi component dynamometer, and the effects of surface texture on the annular flow behavior are observed via images obtained using a high-speed camera. Finally, torque behaviors under four different surface conditions are fitted and compared. The experimental results indicate that surface textures have a remarkable influence on torque behavior, and that the peak roughness of surface texture enhances the momentum transfer by strengthening the fluctuation in the TC flow.

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References

  1. TAYLOR G I. Stability of a viscous liquid contained between two rotating cylinders[J]. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, 1923: 289–343.

  2. TAYLOR G I. Fluid friction between rotating cylinders. I. Torque measurements[J]. Royal Society of London Proceedings Series A, 1936, 157: 546–564.

  3. TAYLOR G I. Fluid friction between rotating cylinders. II. Distribution of velocity between concentric cylinders when outer one is rotating and inner one is at rest[J]. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1936, 157(892): 565–578.

  4. LARSON R G, SHAQFEH E S G, MULLER S J. A purely elastic instability in Taylor–Couette flow[J]. Journal of Fluid Mechanics, 1990, 218: 573–600.

  5. OSTILLA-MÓNICO R, VERZICCO R, GROSSMANN S, et al. Turbulence decay towards the linearly stable regime of Taylor–Couette flow[J]. Journal of Fluid Mechanics, 2014, 748: R3.

  6. WELSH S, KERSALÉ E, JONES C A. Compressible Taylor–Couette flow–instability mechanism and codimension 3 points[J]. Journal of Fluid Mechanics, 2014, 750: 555–577.

  7. PAOLETTI M S, LATHROP D P. Angular momentum transport in turbulent flow between independently rotating cylinders[J]. Physical Review Letters, 2011, 106(2): 024501.

  8. DUBRULLE B, HERSANT F. Momentum transport and torque scaling in Taylor-Couette flow from an analogy with turbulent convection[J]. The European Physical Journal B-Condensed Matter and Complex Systems, 2002, 26(3): 379–386.

  9. AVILA M. Stability and angular-momentum transport of fluid flows between corotating cylinders[J]. Physical Review Letters, 2012, 108(12): 124501.

  10. VAN DEN BERG T H, LUTHER S, LATHROP D P, et al. Drag reduction in bubbly Taylor-Couette turbulence[J]. Physical Review Letters, 2005, 94(4): 044501.

  11. BRAUCKMANN H J, ECKHARDT B. Intermittent boundary layers and torque maxima in Taylor-Couette flow[J]. Physical Review E, 2013, 87(3): 033004.

  12. MERBOLD S, BRAUCKMANN H J, EGBERS C. Torque measurements and numerical determination in differentially rotating wide gap Taylor-Couette flow[J]. Physical Review E, 2013, 87(2): 023014.

  13. HU Y, WANG T. Nonlinear resonance of the rotating circular plate under static loads in magnetic field[J]. Chinese Journal of Mechanical Engineering, 2015, 28(6): 1277–1284.

  14. HU J, PENG Z, YUAN S. Drag torque prediction model for the wet clutches[J]. Chinese Journal of Mechanical Engineering, 2009, 22(2): 238–243.

  15. YUAN S, PENG Z, JING C. Experimental research and mathematical model of drag torque in single-plate wet clutch[J]. Chinese Journal of Mechanical Engineering, 2011, 24(1): 91–97.

  16. LATHROP D P, FINEBERG J, SWINNEY H L. Turbulent flow between concentric rotating cylinders at large Reynolds number[J]. Physical Review Letters, 1992, 68(10): 1515.

  17. LATHROP D P, FINEBERG J, SWINNEY H L. Transition to shear-driven turbulence in Couette-Taylor flow[J]. Physical Review A, 1992, 46(10): 6390.

  18. LEWIS G S, SWINNEY H L. Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow[J]. Physical Review E, 1999, 59(5): 5457.

  19. VAN GILS D P M, HUISMAN S G, BRUGGERT G W, et al. Torque scaling in turbulent Taylor-Couette flow with co-and counter rotating cylinders[J]. Physical Review Letters, 2011, 106(2): 024502.

  20. ECKHARDT B, GROSSMANN S, LOHSE D. Torque scaling in turbulent Taylor–Couette flow between independently rotating cylinders[J]. Journal of Fluid Mechanics, 2007, 581: 221–250.

  21. BATTEN W M J, TURNOCK S R, BRESSLOFF N W, et al. Turbulent Taylor-Couette vortex flow between large radius ratio concentric cylinders[J]. Experiments in Fluids, 2004, 36(3): 419–421.

  22. ECKHARDT B, GROSSMANN S, LOHSE D. Scaling of global momentum transport in Taylor-Couette and pipe flow[J]. The European Physical Journal B-Condensed Matter and Complex Systems, 2000, 18(3): 541–544.

  23. ECKHARDT B, GROSSMANN S, LOHSE D. Fluxes and energy dissipation in thermal convection and shear flows[J]. EPL (Europhysics Letters), 2007, 78(2): 24001.

  24. GROSSMANN S, LOHSE D. Scaling in thermal convection: a unifying theory[J]. Journal of Fluid Mechanics, 2000, 407: 27–56.

  25. VAN DEN BERG T H, DOERING C R, LOHSE D, et al. Smooth and rough boundaries in turbulent Taylor-Couette flow[J]. Physical Review E, 2003, 68(3): 036307.

  26. WU S, GAO D, LIANG Y, et al. Influence of Non-smooth surface on tribological properties of glass fiber-epoxy resin composite sliding against stainless steel under natural seawater lubrication[J]. Chinese Journal of Mechanical Engineering, 2015, 28(6): 1171–1176.

  27. VAN GILS D P M, BRUGGERT G W, LATHROP D P, et al. The Twente turbulent Taylor–Couette (T3C) facility: Strongly turbulent (multiphase) flow between two independently rotating cylinders[J]. Review of Scientific Instruments, 2011, 82(2): 025105.

  28. BRAUCKMANN H J, ECKHARDT B. Direct numerical simulations of local and global torque in Taylor–Couette flow up to Re = 30 000[J]. Journal of Fluid Mechanics, 2013, 718: 398–427.

  29. HUISMAN S G, VAN GILS D P M, GROSSMANN S, et al. Ultimate turbulent Taylor-Couette flow[J]. Physical Review Letters, 2012, 108(2): 024501.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yabo XUE, Zhenqiang YAO & De CHENG

  2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yabo XUE, Zhenqiang YAO & De CHENG

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  1. Yabo XUE
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  2. Zhenqiang YAO
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  3. De CHENG
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Correspondence to Zhenqiang YAO.

Additional information

Supported by National Programs for Fundamental Research and Development of China (Grant Nos. 2009CB724308, 2015CB057302), and National Science and Technology Major Project of China (Grant No. 2013ZX06002002-017).

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XUE, Y., YAO, Z. & CHENG, D. Experimental Study on Momentum Transfer of Surface Texture in Taylor-Couette Flow. Chin. J. Mech. Eng. 30, 754–761 (2017). https://doi.org/10.1007/s10033-017-0094-4

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  • DOI: https://doi.org/10.1007/s10033-017-0094-4

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