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TECHNICAL PAPERS

Computation of Flow Between Two Disks Rotating at Different Speeds

[+] Author and Article Information
Muhsin Kilic

Department of Mechanical Engineering, Uludag University, Bursa, Turkey

J. Michael Owen

Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UK

J. Turbomach 125(2), 394-400 (Apr 23, 2003) (7 pages) doi:10.1115/1.1539515 History: Received January 16, 2002; Online April 23, 2003
Copyright © 2003 by ASME
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References

Owen, J. M., and Rogers, R. H., 1989, Flow and Heat Transfer in Rotating Systems, Vol. 1: Rotor-Stator Systems, Research Studies Press, Taunton, UK, John Wiley, New York, NY.
Owen, J. M., and Rogers, R. H., 1995, Flow and Heat Transfer in Rotating Systems, Vol. 2: Rotating Cavities, Research Studies Press, Taunton, UK, John Wiley, New York, NY.
Ekman,  V. W., 1905, “On the Influence of the Earth’s Rotation on Ocean-Currents,” Ark. Mat., Astron. Fys., 2, pp. 1–52.
Kilic, M. 1993. “Flow Between Contra-Rotating Discs,” Ph.D. thesis, University of Bath, Bath, UK.
Kilic,  M., Gan,  X., and Owen,  J. M., 1994, “Transitional Flow Between Contra-Rotating discs,” J. Fluid Mech., 281, pp. 119–135.
Kilic,  M., Gan,  X., and Owen,  J. M., 1996, “Turbulent Flow Between Two Discs Contrarotating at Differential Speeds,” ASME J. Turbomach., 118, pp. 408–413.
Gan,  X., Kilic,  M., and Owen,  J. M., 1994, “Superposed Flow Between Two Discs Contrarotating at Differential Speeds,” Int. J. Heat Fluid Flow, 15, pp. 438–446.
Gan,  X., Kilic,  M., and Owen,  J. M., 1995, “Flow Between Contra-Rotating Discs,” ASME J. Turbomach., 117, pp. 298–305.
Morse,  A. P., 1988, “Numerical Predictions of Turbulent Flow in Rotating Cavities,” ASME J. Turbomach., 110, pp. 202–214.
Morse,  A. P., 1991, “Assessment of Laminar-Turbulent Transition in Closed Disc Geometries,” ASME J. Turbomach., 113, pp. 131–138.
Morse,  A. P., 1991, “Application of a Low Reynolds Number k-ε Turbulence Model to High Speed Rotating Cavity Flows,” ASME J. Turbomach., 113, pp. 98–105.
Batchelor, G. K., 1967, An Introduction to Fluid Dynamics Cambridge University Press, London, UK.
Owen,  J. M., Pincombe,  J. R., and Rogers,  R. H., 1985, “Source-Sink Flow Inside a Rotating Cylindrical Cavity,” J. Fluid Mech., 155, pp. 233–265.
Karabay,  H., Wilson,  M., and Owen,  J. M., 2001, “Predictions of Effect of Swirl on Flow and Heat Transfer in a Rotating Cavity,” Int. J. Heat Fluid Flow, 22, pp. 143–155.
Stewartson,  K., 1953, “On the Flow Between Two Rotating Coaxial Discs,” Prog. Cambridge, Philos. Soc., 49, pp. 333–341.
Batchelor,  G. K., 1951, “Note on a Class of Solutions of the Navier-Stokes Equations Representing Steady Rotationally-Symmetric Flow,” Q. J. Mech. Appl. Math., 4, pp. 29–41.
Dorfman, L. A., 1963, Hydrodynamic Resistance and the Heat Loss of Rotating Solids, Oliver and Boyd, Edinburgh, Scotland.

Figures

Grahic Jump Location
Schematic diagram of flow structure for Γ=−1, 0, +1 (Cw>0)
Grahic Jump Location
Effect of Γ on computed streamlines for Reϕ,1=1.25×106,Cw=6100,λT,1=0.0809,G=0.12;→xe (Eq. (4)) ↑zd/s (Eq. (7))—(a) Γ=−1, (b) Γ=−0.4, (c) Γ=0, (d) Γ=0.4, (e) Γ=1
Grahic Jump Location
Effect of Γ (for Γ≤0) on axial distributions of Vr1r and Vϕ1r at x=0.8 for Reϕ,1=1.25×106,Cw=6100,λT,1=0.0809,G=0.12; –computations; * measurements of Gan et al. 7—(a) Γ=0.0, (b) Γ=−0.4, (c) Γ=−0.8, (d) Γ=−1.0  
Grahic Jump Location
Effect of Γ (for Γ≥0) on computed axial distributions of Vr1r and Vϕ1r at x=0.8 for Reϕ,1=1.11×106,G=0.12; –Cw=0,λT,1=0; — – – — Cw=3926,λT,1=0.0572 – – – – Cw=6100,λT,1=0.0889; — – — Cw=9720,λT,1=0.142—(a) Γ=0.0, (b) Γ=0.4, (c) Γ=0.8, (d) Γ=1.0
Grahic Jump Location
Effect of Reϕ,1 on radial distribution of Vϕ,∞1r for Γ=+1, Cw=2500,G=0.10Reϕ,1/106ComputationsMeasurementsof Owen et al.130.55——*0.82— – —01.10––––+
Grahic Jump Location
Effect of Γ (for −1≤Γ≤+1) on computed axial distributions of Vϕ1r at x=0.8 for Reϕ,1=1.25×106,G=0.12—( a) CwT,1=0; (b) Cw=6100,λT,1=0.0809
Grahic Jump Location
Effect of Γ (for −1≤Γ≤+1) on computed radial distributions of Vϕ,∞1r at z/s=0.5 for Reϕ,1=1.25×106,G=0.12—(a) CwT,1=0; (b) Cw=6100,λT,1=0.0809

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