EXPERIMENTAL AND ANALYTICAL STUDY OF THE INFLUENCE OF ENTRANCE ANGLE IN VORTEX-SEPARATION FLOW

Abstract

The influence of the entrance angle in relation to the Ranque-Hilsch effect is summarized. This is one aspect of the phenomenon which has not, heretofore, been extensively discussed in the literature of the vortex tube. The experimental study reports on pressure, temperature, and velocity distributions in a vortex tube for entrance angles of 90 degrees (tangential flow), 75 degrees, 60 degrees, 45 degrees, 30 degrees, and 15 degrees (near axial flow). The analytical study starts with the Navier-Stokes equations for compressible viscous flow and the continuity equation. These are expressed in cylindrical coordinates and solved for the case of axisymmetric turbulent flow using Gauss' divergence theorem to express the circulation. The results, along with the experimental findings, indicate that the circulation, and therefore the entrance angle is an important parameter of performance. The close resemblance between analytical curves and experimental curves serves to bring out the essential features of the Ranque-Hilsch effect in relation to the entrance flow angle. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 20, 1961
Accession Number
AD0256274

Entities

People

  • B.c. Lee
  • J.e. Lay

Organizations

  • Michigan State University

Tags

DTIC Thesaurus Topics

  • Axial Flow
  • Axisymmetric
  • Continuity
  • Equations
  • Flow
  • Fluid Flow
  • Hilsch Tubes
  • Literature
  • Navier Stokes Equations
  • Tubes
  • Turbulent Flow
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.