Determination of Velocity Distribution for Arbitrary Flows over Solid Boundaries,

Abstract

The full Navier-Stokes equations, the equation of continuity, and measured values for local surface static pressure and skin-friction are used in a technique to determine the three components of velocity at any point away from a solid surface by expansion in a Taylor series. Analytical checks were made with fully developed laminar flow through a straight circular pipe, in which case the Taylor series with only two terms describes the field exactly, and for laminar flow over a flat plate where a comparison is made with the Blasius solution. In the latter case agreement is good when several terms in the Taylor series are taken. An experimental check was made on the velocity distribution on the center-line of a bounded jet, and the agreement was good. The analysis for turbulent flow indicates the necessity of making measurements of local correlations of fluctuating skin-friction in order to determine the mean velocities. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0728143

Entities

People

  • Tadeusz M. Drzewiecki

Organizations

  • Harry Diamond Laboratories

Tags

DTIC Thesaurus Topics

  • Agreements
  • Equations
  • Flow
  • Friction
  • Laminar Flow
  • Measurement
  • Navier Stokes Equations
  • Skin Friction
  • Static Pressure
  • Turbulent Flow

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Marine Hydrodynamics