Navier-Stokes Solutions for Spin-Up from Rest in a Cylindrical Container

Abstract

An accurate and efficient predictor-corrector multiple-iteration scheme is adapted and used for the first time to solve the unsteady Navier- Stokes equations. Numerical solutions for Reynolds numbers up to 50,000 are obtained for the transient spin-up flow in a cylindrical container. The grid point distribution is optimized using coordinate transformations to simultaneously resolve details of both the interior and endwall/sidewall boundary layer flows formed during spin-up. Calculations for five test problems show consistency with previous computations and/or experimental measurements. Transient phenomena occurring at early time near the sidewall, including inertial oscillations and counter-rotating meridional flow, are reported and discussed. Computational experiments have been used to quantify the mass flow in the endwall boundary layers and investigate the compatibility condition used in Wedemeyer's spin-up model. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA077115

Entities

People

  • C. W. Kitchens Jr.

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Aircrafts
  • Boundary Layer
  • Boundary Layer Flow
  • Computational Science
  • Computer Programs
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Flow Rate
  • Jet Propulsion
  • Mass Flow
  • Materials Science
  • Measurement
  • Navier Stokes Equations
  • Radial Velocity

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Fluid Mechanics and Fluid Dynamics.