A Numerical Simulation of Newtonian and Visco-Elastic Flow Past Stationary and Rotating Cylinders.

Abstract

Numerical solutions are presented for the two-dimensional flow past a circular cylinder in an infinite domain. The flow is assumed to be uniform at infinity and the cylinder is allowed to rotate with a constant angular velocity omega. Omega is chosen to be in the range (0 - 5W/a) where a is the radius of the cylinder and W is the mainstream velocity at infinity. To incorporate visco-elastic properties into the flow, and implicit four constant Oldroyd model is used, and the resulting nonlinear constitutive equations are solved in parallel with the equations of motion as a coupled set of partial differential equations. The method of solution used is a finite difference technique with block over-relaxation. The results are compared with those of other numerical computations as well as with available experimental data. In particular, consideration is given to the influence of cylinder rotation and of visco-elasticity on the drag and lift experienced by the cylinder and on the streamline patterns and vorticity distribution. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA077125

Entities

People

  • Peter Townsend

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Computational Science
  • Computations
  • Constitutive Equations
  • Difference Equations
  • Differential Equations
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Experimental Data
  • Mathematics
  • Partial Differential Equations
  • Reynolds Number
  • Rotation
  • Simulations
  • Two Dimensional
  • Two Dimensional Flow
  • United States

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.