NUMERICAL SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR THE FLOW IN A CHANNEL WITH A STEP.

Abstract

The steady flow of a viscous fluid in a channel with a forward facing or a backward facing step is studied numerically. It is assumed that the channel is bounded by rigid walls, and the flow in the channel far from the step is the Poiseuille flow. It is shown that the length of a standing vortex behind a backward facing step increases roughly proportionally to the Reynolds number (R< or = 64). The pressure loss due to a forward facing step increases with the Reynolds number, on the other hand, due to a backward facing step, it decreases with the Reynolds number. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0620108

Entities

People

  • Mitutosi Kawaguti

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Navier Stokes Equations
  • Poiseuille Flow
  • Reynolds Number
  • Steady Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Structural Dynamics.