AXISYMMETRIC VISCOUS FLUID MOTIONS AROUND CONICAL SURFACES

Abstract

The introduction of complex Navier-Stokes equations shows that steady axisymmetric motions of viscous incompressible fluids around conical surfaces can be expressed in terms of the corresponding general solution of the Stokes equations of slow motions. The latter integration is accomplished with the aid of slow-motion eigenfunctions with integral eigenvalues for infinite plates and semi-infinite needles and with generally complex eigenvalues for cones and conical corners. The eigenvalues and eigenmotions obtained resemble the corresponding eigenvalues and eigenmotions of the analogous flows past dihedral angles. In particular, the existence of critical and branching eigenvalues reveals that laminar flows past conical surfaces depend on the cone angle in a nonanalytic manner. The investigations include a note on diffusor and jet flows.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1964
Accession Number
AD0600962

Entities

People

  • E. W. Schwiderski
  • H. J. Lugt
  • P. Ugincius

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Dihedral Angle
  • Eigenvalues
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Jet Flow
  • Jet Propulsion
  • Laminar Flow
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physics Laboratories

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Fluid Mechanics and Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.