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  3. Vol. 5 No. 4 (2001)
  4. INSTABILITY OF THE NON-ISOTHERMAL FLOW BETWEEN A ROTATING AND A STATIONARY DISKS

INSTABILITY OF THE NON-ISOTHERMAL FLOW BETWEEN A ROTATING AND A STATIONARY DISKS

Abstract

Both theoretical linear stability analysis and the direct numerical simulation are performed to study the transition flow between rotating discs. This paper reports about the three-dimensional spiral and annular patterns computed with a high-order (spectral) numerical method in the B¨odewadt layer of a cylindrical rotor/stator cavity. The characteristic parameters of these boundary layer instabilities are compared with the theoretical results and interpreted in terms of type I and type II generic instabilities. The absolute instability regions are theoretically identified and the critical Reynolds numbers of the convective/absolute transition in both layers are given. The absolute or convective nature of the flows is determined by examining the branch-points singularities of the dispersion relation.

Keywords:

instability and transition in rotating flows, convective and absolute instability

Details

Issue
Vol. 5 No. 4 (2001)
Section
Research article
Published
2001-12-29
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Author Biographies

CHYI-YEOU SOONG,
Chung Cheng Institute of Technology, Rotating Fluids and Vortex Dynamics Laboratory, Department of Aeronautical Engineering



ERIC SERRE,
Universit´e de la M´editerran´ee, Laboratoire de Mod´elisation et Simulation Num´erique en M´ecanique, LABM/CNRS, IMT Ch ˆateau-Gombert, La Jet´ee



PATRICK BONTOUX,
Universit´e de la M´editerran´ee, Laboratoire de Mod´elisation et Simulation Num´erique en M´ecanique, LABM/CNRS, IMT Chateau-Gombert, La Jet´ee



Authors

  • EWA TULISZKA-SZNITKO

    Technical University of Poznań, Institute of Thermal Engineering

  • CHYI-YEOU SOONG

    Chung Cheng Institute of Technology, Rotating Fluids and Vortex Dynamics Laboratory, Department of Aeronautical Engineering

  • ERIC SERRE

    Universit´e de la M´editerran´ee, Laboratoire de Mod´elisation et Simulation Num´erique en M´ecanique, LABM/CNRS, IMT Ch ˆateau-Gombert, La Jet´ee

  • PATRICK BONTOUX

    Universit´e de la M´editerran´ee, Laboratoire de Mod´elisation et Simulation Num´erique en M´ecanique, LABM/CNRS, IMT Chateau-Gombert, La Jet´ee

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