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Variational Method of Finding Streamlines in Ring Cascades for Creeping Flows

Abstract

This paper presents a new, analytical method of finding streamlinesfor creeping flows inside a ring cascade which is composed of an infinite number of infinitely thin blades. An analytical solution has been obtained through minimisation of a dissipation functional by means of variational calculus method. The necessary condition for optimum of a functional gives the Stokes equation if some additional assumptions are introduced. Different variants are considered in view of fixing of inlet and outlet to the cascade.

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Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
TASK Quarterly no. 15, pages 71 - 84,
ISSN: 1428-6394
Language:
English
Publication year:
2011
Bibliographic description:
Tesch K., Banaszek M.: Variational Method of Finding Streamlines in Ring Cascades for Creeping Flows// TASK Quarterly. -Vol. 15., iss. 1 (2011), s.71-84
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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