Pinching Solutions of Slender Cylindrical Jets

Abstract

Simplified equations for slender jets are derived for a circular jet of one fluid. flowing into an ambient second fluid, the flow being confined in a circular tank. Inviscid flows are studied which include both surface tension effects and Kelvin-Helmholtz instability. For slender jets a coupled nonlinear system of equations is found for the jet shape and the axial velocity jump across it. The equations can break down after a finite fine and similarity solutions are constructed, and studied analytically and numerically. The break- ups found pertain to the jet pinching after a finite time, without violation of the slender jet ansatz. The system is conservative and admissible singular solutions are those which conserve the total energy, mass and momentum. Such solutions are constructed analytically and numerically, and in the case of vortex sheets with no surface tension certain solutions are given in closed form.... Circular jets, Singularities, Pinching solutions

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA268932

Entities

People

  • Demetrios T. Papageorgiou
  • Oscar Orellana

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Fluid Mechanics
  • Geometry
  • Integrals
  • Inviscid Flow
  • Mathematics
  • Mechanics
  • Nonlinear Analysis
  • Nonlinear Systems
  • Numbers
  • Stratified Fluids
  • Surface Tension
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Fluid Dynamics.