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Mach Number Influence on Reduced-Order Models of Inviscid Potential Flows in Turbomachinery

[+] Author and Article Information
Bogdan I. Epureanu

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125e-mail: epureanu@umich.edu

Earl H. Dowell, Kenneth C. Hall

Department of Mechanical Engineering and Materials Science, Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708

J. Fluids Eng 124(4), 977-987 (Dec 04, 2002) (11 pages) doi:10.1115/1.1511165 History: Received September 20, 2001; Revised March 12, 2002; Online December 04, 2002
Copyright © 2002 by ASME
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References

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Figures

Grahic Jump Location
Left: Cascade geometry and computational domain of the flow. Right: Eigenvalues of the correlation matrix computed using 50 snapshots obtained varying k only; and 10×10 snapshots obtained varying both k and σ.
Grahic Jump Location
Unsteady coefficient of pressure CP for a pitching motion about the mid-chord. Left: zero frequency and zero interblade phase angle. Right: real (in-phase) part of CP at reduced frequency k of 0.5 and interblade phase angle σ of 90 deg.
Grahic Jump Location
Coefficient of pressure CP for an upstream far-field Mach number of 0.50. Left: comparison of steady flows. Center: comparison of steady flows obtained using a fine and a coarse grid. Right: real (in-phase) part of the unsteady flow at reduced frequency k of 0.5.
Grahic Jump Location
Coefficient of pressure CP for an upstream far-field Mach number of 0.80. Left: steady flow computed on a fine and a coarse grid. Center: unsteady flow for a pitching motion about the mid-chord at zero frequency and zero interblade phase angle. Right: real (in-phase) part of the unsteady flow for a pitching motion about the mid-chord at reduced frequency k of 0.5 and interblade phase angle σ of 90 deg.
Grahic Jump Location
Real (in-phase) part of the unsteady coefficient of lift CL for a pitching motion about the mid-chord. Left: reduced frequency k of 0.5. Right: interblade phase angle σ of 90 deg.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.35 and interblade phase angle σ of 90 deg. Snapshots are computed at a Mach number of 0.50. Left: real part. Right: imaginary part.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.35 and reduced frequency k of 1. Snapshots are computed at a Mach number of 0.50. Left: real part. Right: imaginary part.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.55 and interblade phase angle σ of 90 deg. Snapshots are computed at a Mach number of 0.50 and 0.55. Left: real part. Right: imaginary part.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.55 and reduced frequency k of 1. Snapshots are computed at a Mach number of 0.50 and 0.55. Left: real part. Right: imaginary part.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.70 and interblade phase angle σ of 90 deg. Left: real part. Right: imaginary part.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.70 and reduced frequency k of 1. Left: real part. Right: imaginary part.
Grahic Jump Location
Real (in-phase) part of the unsteady coefficient of lift CL for a pitching motion about the mid-chord and upstream far-field Mach number of 0.80. Left: reduced frequency 0.5. Right: interblade phase angle 90 deg.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.80 and interblade phase angle σ of 90 deg. Left: real part. Right: imaginary part.
Grahic Jump Location
Unsteady coefficient of lift CL for a pitching motion about the mid-chord, upstream far-field Mach number of 0.80 and reduced frequency k of 1. Left: real part. Right: imaginary part.

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