Average Passage Flow Field and Deterministic Stresses in the Tip and Hub Regions of a Multistage Turbomachine

[+] Author and Article Information
Oguz Uzol, Yi-Chih Chow, Joseph Katz, Charles Meneveau

Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218

J. Turbomach 125(4), 714-725 (Dec 01, 2003) (12 pages) doi:10.1115/1.1625692 History: Received December 01, 2002; Revised March 01, 2003; Online December 01, 2003
Copyright © 2003 by ASME
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Test section of the axial turbomachine. The second-stage rotors and stators are made of transparent acrylic.
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Phase-averaged distributions for t/T=0.0 (a) axial velocity (ū); (b) lateral velocity (v̄); (c) absolute velocity magnitude (|V⃗|); (d) relative velocity magnitude (|V⃗|rel); (e) turbulent kinetic energy (k); and (f ) vorticity (ω̄) at three spanwise planes. The plane location is indicated as percentage of the span. Utip=8 m/s is the blade tip velocity at 500 rpm, Ls=203 mm is the stage length and x=0 is the rotor leading edge. Ω=52.36 rad/s (500 rpm).
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Sample phase-averaged vorticity distributions at three spanwise locations at t/T=0.7
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Absolute velocity magnitude distributions along the suction side of the stator blade, 1 percent stator chord lengths away from the surface, for 3 percent, 50 percent, and 90 percent spanwise planes, all at t/T=0.7
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Average-passage (a) velocity magnitude, (b) vorticity, (c) turbulent kinetic energy, (d) deterministic kinetic energy, (e) Reynolds shear stress, and (f) deterministic shear stress contours at 3 percent, 50 percent, and 90 percent spanwise locations in the stator frame of reference. In the vorticity plots, the arrow at 50 percent span and the arrow on the left at 90 percent span indicate upstream stator wake transport directions. The arrow on the right at 90 percent span vorticity plot shows the tip vortex transport direction.
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Deterministic and turbulent shear stresses at x/Ls=0.2 (in the rotor-stator gap) at the 3 percent, 50 percent (top), and 90 percent (bottom) spanwise planes. Solid symbols, Reynolds shear stresses; hollow symbols, deterministic shear stresses. Note the differences in scales.
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Distributions of (a) deterministic and (b) average-passage turbulent kinetic energy along the stator midpassage at the 3 percent, 50 percent, and 90 percent spanwise planes. The levels are normalized by the respective inlet values. The x coordinate starts at the stator leading edge plane (x/Ls=0.38), and the stator trailing edge is located at x/Ls=0.73.
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Distribution of (a) deterministic production (PD, term 1); (b) dissipation due to turbulence (DT, term 2) on the right-hand side of the deterministic kinetic energy transport equation [Eq. (9)] at the 3 percent, 50 percent, and 90 percent spanwise planes.
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Distributions at midspan of the deterministic production (PD, term 1) and divergence of the deterministic pressure-velocity correlations (term 5) along the midpassage of the stator.




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