Computation of Steady Compressible Swirl Flows with Closed Streamlines at High Reynolds Numbers.

Abstract

Flows with closed streamlines in a swirl chamber can be computed with equations in which viscosity and heat conduction are neglected provided that the entropy, the swirl, and the Bernoulli 'constant', in their dependence upon the streamfunction, are chosen in such a manner that the cumulative effects of viscosity and heat conduction (computed from the Navier Stokes equations and the energy equation) vanish. The basic theory is found in a previous report. The present report describes the computational aspects. This includes the computation of the flow field and an iterative modification of the three functions mentioned above. The resulting flow fields have been analyzed from the point of view of thermodynamics. The particles undergo a thermodynamic cycle with heat input from the dissipation and heat conduction of the primary flow and heat output through heat conduction of the secondary flow. The Prandtl number is very important. Under present conditions where the prevalent heat input occurs at low temperatures, it hinders the secondary motion. Physically, this can be explained as a buoyancy effect. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA017766

Entities

People

  • David E. Greene
  • Karl G. Guderley
  • Marian Valentine

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Buoyancy
  • Computations
  • Energy
  • Equations
  • Equations Of State
  • Flow
  • Flow Fields
  • Heat Energy
  • Low Temperature
  • Navier Stokes Equations
  • Prandtl Number
  • Reynolds Number
  • Secondary Flow
  • Thermodynamic Cycles
  • Thermodynamics
  • Viscosity

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.