THE TWO-DIMENSIONAL LAMINAR JET IN PARALLEL STREAMING FLOW.

Abstract

Solutions to the problem of a two-dimensional, laminar jet of incompressible fluid issuing into a uniform stream in the direction of the main flow are considered. Two coordinate-type expansions are developed. A direct expansion, when suitably transformed, predicts approximately the velocity along the plane of symmetry of the jet for all values of the abscissa, with a maximum error of 7.6% far downstream from the origin. This error is established by comparison with a second, asymptotic expansion valid only at large values of the abscissa. The two expansions are subsequently joined, permitting an approximate determination of a constant which multiplies a third order in the asymptotic series and which initially remained unknown even after satisfying all boundary conditions imposed on these series. The decay of velocity excess along the plane of symmetry of the jet is accelerated by the presence of the external stream. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0637138

Entities

People

  • I. Wygnanski

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Mathematical Analysis
  • Mathematics
  • Physical Properties
  • Sequences
  • Sequences (Mathematics)
  • Symmetry
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.