Numerical Evaluation of a Solution Representing a Jet in Cross-Flow

Abstract

A recent study of a jet emerging from a circular pipe into a weak cross flow under the assumptions of an inviscid and incompressible fluid led to expressions for the velocity potential in different regions near the orifice as definite integrals and infinite sums. In the present paper the expressions relating to flow inside the pipe and jet are evaluated with great care. It is confirmed that the solutions in the pipe and jet are continuous across the orifice plane. The behaviour of the solution near the orifice is displayed in graphical form, with emphasis on the consequences of the failure to satisfy a Kutta conditions of smooth outflow at the lip. Keywords: Incompressible flow; Inviscid flow; Jets; Jet in cross flow; Great Britain.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1988
Accession Number
ADA203480

Entities

People

  • C. C. Lytton
  • J. H. Smith

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Space

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Boundary Layer
  • Complex Variables
  • Cross Flow
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Integral Equations
  • Intellectual Property
  • Inviscid Flow
  • Real Variables
  • Reynolds Number
  • Stagnation Point
  • Turbulent Mixing
  • Viscous Flow

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.