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

Mateescu, D; Pottier, T; Perotin, L; Granger, S

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

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Abstract

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 methodmore »« less

Authors:

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

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

Publication Date:: Fri Dec 01 00:00:00 EST 1995

OSTI Identifier:: 131707

Report Number(s):: CONF-950740-
ISBN 0-7918-1329-0; TRN: IM9551%%315

Resource Type:: Book

Resource Relation:: Conference: Joint American Society of Mechanical Engineers (ASME)/Japan Society of Mechanical Engineers (JSME) pressure vessels and piping conference, Honolulu, HI (United States), 23-27 Jul 1995; Other Information: PBD: 1995; Related Information: Is Part Of Flow-induced vibration 1995. PVP-Volume 298; Pettigrew, M.J.; Au-Yang, M.K.; Fujita, K. [eds.]; PB: 183 p.

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; ANNULAR SPACE; UNSTEADY FLOW; VISCOUS FLOW; MECHANICAL STRUCTURES; FLUID-STRUCTURE INTERACTIONS; MECHANICAL VIBRATIONS; THREE-DIMENSIONAL CALCULATIONS; FLOW MODELS; THEORETICAL DATA

Citation Formats


                    Mateescu, D, Pottier, T, Perotin, L, and Granger, S. Analysis of 3-D unsteady viscous flows between eccentric cylinders executing axially-variable transverse oscillations.  United States: N. p., 1995. 
        Web.

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                    Mateescu, D, Pottier, T, Perotin, L, & Granger, S. Analysis of 3-D unsteady viscous flows between eccentric cylinders executing axially-variable transverse oscillations.  United States.

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                    Mateescu, D, Pottier, T, Perotin, L, and Granger, S. 1995.  
        "Analysis of 3-D unsteady viscous flows between eccentric cylinders executing axially-variable transverse oscillations".  United States.

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@article{osti_131707,

  title        = {Analysis of 3-D unsteady viscous flows between eccentric cylinders executing axially-variable transverse oscillations},

  author       = {Mateescu, D and Pottier, T and Perotin, L and Granger, S},

  abstractNote = {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.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/131707},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Fri Dec 01 00:00:00 EST 1995},

  month        = {Fri Dec 01 00:00:00 EST 1995}

}

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