A STUDY OF THE IMPULSIVE MOTION OF A SEMIINFINITE FLAT PLATE USING A LINEAR MODEL OF THE UNSTEADY BOUNDARY LAYER EQUATIONS,

Abstract

The impulsive motion of a semi-infinite flat plate in a fluid initially at rest is studied using a linear model of the unsteady boundary layer equations (introduced by Stewartson) and conventional Fourier and Laplace transform techniques. By imposing the physical condition that the skin friction be integrable at the leading edge, a unique solution is found which agrees with that obtained by Stewartson using a different method. All transforms are inverted in a formal way using a theorem on Laplace transforms due to Van der Pol, and the non-unique solutions are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0602867

Entities

People

  • Robert C. Ackerberg

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Equations
  • Friction
  • Leading Edges
  • Skin Friction

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.