Computational Studies of the Flow Start-Up Process in Two-Dimensional Unsteady Divergent Nozzles

Abstract

A two-dimensional computational study of flow patterns that develop in unsteady overexpanded divergent nozzles with comparison to experimental data was performed and analyzed for two nozzle angles (16 deg and 45 deg). The computations were performed on a Cray XMP/48 supercomputer by discretizing the governing equations with an upwind, total variation diminishing (TVD), finite- volume, implicit scheme. Experimental shadowgraphs indicated viscous effects were present. Therefore, a systematic study was performed. First, the Euler equations were cast as the governing equations. The Euler equations produced computational results that compared well to inviscid theory, but did not reproduce experimental results. Next, the thin-shear layer equations were cast as the governing equations. Finally, the Baldwin Lomax turbulence model was added to the computational simulations. The thin-shear layer viscous computations improved the comparison of density contour data to shadowgraph pictures over the inviscid computations for the 16 deg-nozzle configuration. However, the laminar viscous and turbulent computations did not significantly alter the inviscid static overpressure solutions for the 16 deg-nozzle. The thin-shear layer viscous computations also improved the comparison of density contour data to shadowgraph pictures for the 45 deg-nozzle configuration. The 45 deg nozzle results showed that viscous effects alter the recompression shock system such that significantly different contour plots and pressure vs. time histories can result between the inviscid, laminar viscous, and turbulent solutions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1991
Accession Number
ADA242261

Entities

People

  • Dixie M. Hisley

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Dynamic Pressure
  • Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Mathematical Analysis
  • Simulators
  • Three Dimensional
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Computational Fluid Dynamics (CFD)
  • Fluid Mechanics and Fluid Dynamics.