AN INTEGRAL INVARIANT OF A CLASS OF STEADY-STATE VISCOUS-INCOMPRESSIBLE FLOWS,

Abstract

Conditions for and properties of the invariance are considered of an integral which represents a global measure of uniformity of a class of steady-state viscous incompressible flows. This integral is related to the forces which account for the inherent non-linear structure of the Navier-Stokes equations. The condition of global constraint on flow fields rendered by its properties of invariance is therefore tantamount to a condition on the non-linear structure of the classical equations of hydrodynamics. For each and every

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1963
Accession Number
AD0428024

Entities

People

  • Koon-sang Wan
  • Paul Lieber

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Equations
  • Flow
  • Flow Fields
  • Fluid Flow
  • Hydrodynamics
  • Incompressible Flow
  • Integrals
  • Invariance
  • Mathematics
  • Navier Stokes Equations
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.