0
Research Papers: Multiphase Flows

Modeling Gas–Liquid Flow Between Rotating and Nonrotating Annular Disks

[+] Author and Article Information
Irsha Pardeshi

School of Aeronautics and Astronautics,
Purdue University,
West Lafayette, IN 47907
e-mail: irshapardeshi@gmail.com

Tom I-P. Shih

J. William Uhrig and Anastasia Vournas
Head and Professor
School of Aeronautics and Astronautics,
Purdue University,
West Lafayette, IN 47907
e-mail: tomshih@purdue.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 23, 2018; final manuscript received June 7, 2019; published online June 27, 2019. Assoc. Editor: Samuel Paolucci.

J. Fluids Eng 141(12), 121303 (Jun 27, 2019) (6 pages) Paper No: FE-18-1047; doi: 10.1115/1.4043985 History: Received January 23, 2018; Revised June 07, 2019

When a liquid is forced to flow radially outward in the gap between two coaxial, parallel annular disks—one rotating and one stationary—the liquid occupies the entire gap until the speed of the rotating disk reaches a critical value. Beyond that critical speed, gas from the outer radius starts to enter into the gap, a process referred to as aeration. The higher the rotational speed, the greater is the extent of penetration by the gas into the gap. The extent of gas penetration strongly affects the torque exerted between the two disks because of the large difference in the gas and liquid viscosities. In this study, a reduced-order model is developed to predict the onset of aeration, extent of gas penetration into the gap, and drag torque as a function of the disk's rotational speed, gap between disks, properties of the liquid, and mass flow rate of the liquid forced through the gap. The model developed was validated by comparing predictions with experimental data.

FIGURES IN THIS ARTICLE
<>
Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.

References

Mellor, G. L. , Chapple, P. J. , and Stokes, V. K. , 1968, “ On the Flow Between a Rotating and a Stationary Disk,” J. Fluid Mech., 31(1), pp. 95–112. [CrossRef]
Cooper, P. , and Reshotko, E. , 1975, “ Turbulent Flow Between a Rotating Disk and a Parallel Wall,” AIAA J., 13(5), pp. 573–578. [CrossRef]
Sirivat, A. , 1991, “ Stability Experiment of Flow Between a Stationary and a Rotating Disk,” Phys. Fluids A, 3(11), p. 2664. [CrossRef]
Schouveiler, L. , Le Gal, P. , and Chauve, M. P. , 2001, “ Instabilities of the Flow Between a Rotating and a Stationary Disk,” J. Fluid Mech., 443, pp. 329–350. [CrossRef]
Cros, A. , and Le Gal, P. , 2002, “ Spatiotemporal Intermittency in the Torsional Couette Flow Between a Rotating and a Stationary Disk,” Phys. Fluids, 14(11), p. 3755. [CrossRef]
Launder, B. , Poncet, S. , and Serre, E. , 2010, “ Laminar, Transitional, and Turbulent Flows in Rotor-Stator Cavities,” Annu. Rev. Fluid Mech., 42(1), pp. 229–248. [CrossRef]
Cui, H. , Yao, S. , Yan, Q. , Feng, S. , and Liu, Q. , 2014, “ Mathematical Model and Experiment Validation of Fluid Torque by Shear Stress Under Influence of Fluid Temperature in Hydro-Viscous Clutch,” CJME, 27(1), pp. 32–40. [CrossRef]
Hu, J. , Peng, Z. , and Yuan, S. , 2009, “ Drag Torque Prediction Model for the Wet Clutches,” CJME, 22(2), pp. 238–243. [CrossRef]
Huang, J. , Wei, J. , and Qiu, M. , 2012, “ Laminar Flow in the Gap Between Two Rotating Parallel Frictional Plates in Hydro-Viscous Drive,” CJME, 25(1), pp. 144–152. [CrossRef]
Iqbal, S. , Al-Bender, F. , Pluymers, B. , and Desmet, W. , 2013, “ Mathematical Model and Experimental Evaluation of Drag Torque in Disengaged Wet Clutches,” ISRN Tribol., 2013, p. 206539. [CrossRef]
Iqbal, S. , Al-Bender, F. , Pluymers, B. , and Desmet, W. , 2013, “ Experimental Characterization of Drag Torque in Open Multi-Disks Wet Clutches,” SAE Int. J. Fuels Lubr., 6(3), pp. 894–906. [CrossRef]
Iqbal, S. , Al-Bender, F. , Pluymers, B. , and Desmet, W. , 2013, “ Model for Predicting Drag Torque in Open Multi-Disks Wet Clutches,” ASME J. Fluids Eng., 136(2), p. 021103. [CrossRef]
Kato, Y. , Murasugi, T. , Hirano, H. , and Shibayama, T. , 1993, “ Fuel Economy Improvement Through Tribological Analysis of the Wet Clutches and Brakes of an Automatic Transmission,” SAE Paper No. 938179.
Kitabayashi, H. , Li, C. , and Hiraki, H. , 2003, “ Analysis of the Various Factors Affecting Drag Torque in Multiple-Plate Wet Clutches,” SAE Paper No. 2003-01-1973.
Li, H. , Jing, Q. , and Ma, B. , 2013, “Modeling and Parametric Study on Drag Torque of Wet Clutch,” SAE-China, FISITA (eds) Proceedings of the FISITA 2012 World Automotive Congress (Lecture Notes in Electrical Engineering, Vol. 193), Springer, Berlin.
Pahlovy, S. , Mahmud, S. , Kubota, M. , Ogawa, M. , and Takakura, N. , 2014, “ Multiphase Drag Modeling for Prediction of the Drag Torque Characteristics in Disengaged Wet Clutches,” SAE Int. J. Commer. Veh., 7(2), pp. 441–447. [CrossRef]
Pahlovy, S. , Mahmud, S. , Kubota, M. , Ogawa, M. , and Takakura, N. , 2016, “ New Development of a Gas Cavitation Model for Evaluation of Drag Torque Characteristics in Disengaged Wet Clutches,” SAE Int. J. Engines, 9(3), pp. 1910–1915. [CrossRef]
Takagi, Y. , Nakata, H. , Okano, Y. , Miyagawa, M. , and Katayama, N. , 2011, “ Effect of Two-Phase Flow on Drag Torque in a Wet Clutch,” J. Adv. Res. Phys., 2(2), p. 021108. http://stoner.phys.uaic.ro/jarp/
Takagi, Y. , Okano, Y. , Miyayaga, M. , and Katayama, N. , 2012, “ Numerical and Physical Experiments on Drag Torque in a Wet Clutch,” Tribol. Online, 7(4), pp. 242–248. [CrossRef]
Yuan, Y. , Liu, E. A. , Hill, J. , and Zou, Q. , 2006, “ An Improved Hydrodynamic Model for Open Wet Transmission Clutches,” ASME J. Fluids Eng., 129(3), pp. 333–337. [CrossRef]
Yuan, S. , Peng, Z. , and Jing, C. , 2011, “ Experimental Research and Mathematical Model of Drag Torque in Single Plate Wet Clutch,” CJME, 24(1), pp. 91–97. [CrossRef]
Aphale, C. R. , Cho, J. , Schultz, W. W. , Ceccio, S. L. , Yoshioka, T. , and Hiraki, H. , 2005, “ Modeling and Parametric Study of Torque in Open Clutch Plates,” ASME J. Tribol., 128(2), pp. 422–430. [CrossRef]
Aphale, C. R. , 2007, “ Drag Reduction at Low and High Reynolds Numbers,” Ph.D. dissertation, University of Michigan, Ann Arbor, MI http://hdl.handle.net/2027.42/126354.
Aphale, C. R. , Schultz, W. W. , and Ceccio, S. L. , 2009, “ The Influence of Grooves on the Fully Wetted and Aerated Flow Between Open Clutch Plates,” ASME J. Tribol., 132(1), p. 011104. [CrossRef]
Aphale, C. R. , Schultz, W. W. , and Ceccio, S. L. , 2011, “ Aeration in Lubrication With Application to Drag Torque Reduction,” ASME J. Tribol., 133(3), p. 031701. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic of the disk problem studied

Grahic Jump Location
Fig. 2

Oil flow through gap with aeration

Grahic Jump Location
Fig. 3

Regimes of C expressed by C1, C2, and C3 plotted for configuration 1 [12]

Grahic Jump Location
Fig. 5

Drag torque curve based on the reduced-order model

Grahic Jump Location
Fig. 6

Predicted and measured data for configuration 2: (a) C1, C2, and C3 and (b) drag torque

Grahic Jump Location
Fig. 7

Predicted and measured drag torque: (a) configuration 1 and (b) configuration 2

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In