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Fluid Dynamics

, Volume 30, Issue 6, pp 838–844 | Cite as

Self-similar solution of the Navier-Stokes equations governing gas flows in rotary logarithmically spiral two-dimensional channels

  • S. N. Aristov
  • V. I. Grabovskii
Article
  • 41 Downloads

Abstract

A self-similar solution of the Navier-Stokes equations governing gas flows with constant transport coefficients in rotary log-spiral two-dimensional channels is obtained and analyzed. The solution and its existence depend on the following dimensionless parameters: the Reynolds number Re; the parameterMo characterizing the channel rotation; the self-similarity parameters α and β responsible for the channel shape; the direction of channel rotation; and, finally, the wall temperature ratio. A numerical solution of the system of second-order ordinary differential equations gives the ranges of the governing parameters on which self-similar solutions for the gas flow in a rotary channel can exist.

Keywords

Differential Equation Reynolds Number Fluid Dynamics Ordinary Differential Equation Dimensionless Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • S. N. Aristov
  • V. I. Grabovskii

There are no affiliations available

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