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  3. Vol. 15 No. 1 (2011)
  4. VARIATIONAL METHOD OF FINDING STREAMLINES IN RING CASCADES FOR CREEPING FLOWS

VARIATIONAL METHOD OF FINDING STREAMLINES IN RING CASCADES FOR CREEPING FLOWS

Abstract

This paper presents a new analytical method of finding streamlines for creeping flows in a ring cascade composed of an infinite number of infinitely thin blades. An analytical solution was obtained by minimizing the dissipation functional by means of the variational calculus. The necessary condition for the optimum of the functional yields the Stokes equation after certain additional assumptions are introduced. We considered different variants of fixing of the inlet and outlet of the cascade.

Keywords:

variational calculus, creeping flow, dissipation

Details

Issue
Vol. 15 No. 1 (2011)
Section
Research article
Published
2011-03-31
Licencja:
Creative Commons License

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

Authors

  • KRZYSZTOF TESCH

    Gdansk University of Technology, Department of Turbomachinery and Fluid Mechanics

  • MARZENA BANASZEK

    Gdansk University of Technology, Department of Turbomachinery and Fluid Mechanics

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