Analysis of 3-D unsteady viscous flows between eccentric cylinders executing axially-variable transverse oscillations

Book · Fri Dec 01 04:00:00 EST 1995

OSTI ID:131707

Mateescu, D ^[1]; Pottier, T; Perotin, L; Granger, S ^[2]

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1. McGill Univ., Montreal, Quebec (Canada). Dept. of Mechanical Engineering
2. Electricite de France, Chatou (France). Dept. of Heat Transfer and Aerodynamics

The analysis of unsteady annular flows between cylindrical structures executing transverse oscillations is of particular interest for the study of flow-induced vibration problems encountered in many engineering applications. This paper presents the analysis of three-dimensional (3-D) unsteady viscous flows in eccentric annular passages with oscillating boundaries, for which no previous solutions are known. An enhanced hybrid spectral method is developed for this analysis, using a partial spectral formulation for the primitive flow variables. This formulation is based on Chebyshev polynomials and Fourier expansions of the transverse coordinates and on complex exponential functions of the oscillation frequency and time. The Navier-Stokes equations are discretized in this hybrid method by using a collocation approach in a quasi-radial direction (obtained by a coordinate transformation), in conjunction with an efficient Fourier identification procedure in the azimuthal direction and with a mixed-type central-upwind finite-difference scheme in the axial direction (which accommodates both finer and coarser grids). Special efficient procedures are used to store and invert the resulting sparse block-tridiagonal matrices. The method is validated for several 2-D unsteady annular viscous flows, for which the solutions were found in good agreement with previous results. New solutions are then obtained by using this enhanced hybrid spectral method for three-dimensional unsteady viscous flows between eccentric cylinders executing transverse flexural oscillations. The numerical solutions are illustrated by the axial and azimuthal variations of the real and imaginary components of the reduced unsteady pressure, circumferential velocity component and unsteady fluid-dynamic forces.

• OSTI ID: 131707
• Report Number(s): CONF-950740--; ISBN 0-7918-1329-0
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
ANNULAR SPACE
FLOW MODELS
FLUID-STRUCTURE INTERACTIONS
MECHANICAL STRUCTURES
MECHANICAL VIBRATIONS
THEORETICAL DATA
THREE-DIMENSIONAL CALCULATIONS
UNSTEADY FLOW
VISCOUS FLOW