ON THE FLOW OF AN OSEEN-LIKE FLUID PAST A PARABOLOID OF REVOLUTION.

Abstract

The treatment of the problem of flow of an Oseen-like fluid past a paraboloid of revolution in three-dimensions follows closely the treatment of the corresponding problem for a parabolic cylinder in two-dimensions. The use of the concept of field modes reduces the problem to elementary considerations with no mathematical difficulties. Expressions for the components of fluid velocity at an arbitrary point in a meridian plane are obtained in closed form. The corresponding Stokes stream function is also obtained in closed form - the chief difference between this stream function and that for the parabolic cylinder being the replacement of the error function by the exponential integral. Expressions are derived for the shearing stress and the drag force and compared with the corresponding expressions for the parabolic cylinder. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0629577

Entities

People

  • Carl Kaplan

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Complex Variables
  • Functions (Mathematics)
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Motion
  • Physical Properties
  • Revolutions

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.