NUMERICAL SOLUTION OF THE INCOMPRESSIBLE, TWO-DIMENSIONAL, TIME-DEPENDENT NAVIER-STOKES EQUATIONS FOR A BODY OSCILLATING IN PITCH IN A MOVING FLUID.

Abstract

A numerical solution of the incompressible, two-dimensional, time-dependent Navier-Stokes equations, which is implicit in time as well as space, has been developed for the case of a uniform flow past a body with rectangular boundaries undergoing pitch oscillations. The Navier-Stokes equations are written in the form of the vorticity equation and the Poisson equation for the stream function, thus using the vorticity and stream function as dependent variables, rather than the velocity components and the pressure. The equations are written in a moving coordinate system fixed with respect to the oscillating body, which undergoes pitch oscillations about an arbitrary axis. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0678611

Entities

People

  • Joe F. Thompson Jr.

Organizations

  • Mississippi State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Mathematics
  • Navier Stokes Equations
  • Oscillation
  • Partial Differential Equations
  • Poisson Equation
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Fluid Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster