Viscous Effects in the Wedemeyer Model of Spin-up from Rest

Abstract

The problem of impulsive spin-up from rest of a liquid filled a right- circular cylinder is treated. A numerical solution is obtained to the non-linear partial differential equation that governs the spin-up flow by the Wedemeyer model. An implicit, two-time level, second order, iterative finite difference technique is used. Approximations to an impulsive start are discussed. An analytical procedure is applied at the first time step of the calculation to avoid errors caused by a discontinuity in the boundary conditions. Conditions for the validity of the model are discussed and a detailed discussion is presented of tghe Ekman compatibility condition relating to azimuthal velocity. Representative results are shown demonstrating the effects of the problems parameters and different Ekman compatibility conditions on spin-up profiles, i.e., curves of azimuthal velocity vs radial coordinate. For several cases the spin-up results are validated by comparison with those of the Navier-Stokes equations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA129506

Entities

People

  • Nathan Gerber
  • Raymond Sedney

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Boundary Layer
  • Commerce
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physics
  • Physics Laboratories
  • Solid Bodies
  • Turbulent Mixing

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Plasma Physics / Magnetohydrodynamics