Laminar Flows Past an Infinitely Thin Disk.

Abstract

Numerical computations of axisymmetric laminar flows past an infinitely thin disk strongly indicate that the solutions of the Navier-Stokes equations are weakly singular at the tip points. This means that vorticity and pressure at the surface of the disk become infinite with the inverse square root of the distance from the tip. Complete numerical instability which was encountered in previous studies is avoided by excluding the tip from the grid system. Computer output is displayed and discussed for Reynolds numbers 70 and 100.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0732752

Entities

People

  • Hans J. Lugt
  • Samuel Ohring

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Computations
  • Computers
  • Equations
  • Flow
  • Instability
  • Laminar Flow
  • Mathematics
  • Navier Stokes Equations
  • Numbers
  • Reynolds Number
  • Square Roots

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)