ON THE VELOCITY DISTRIBUTION OF TURBULENT FLOW BEHIND A SYSTEM OF THIN CYLINDRICAL RODS

Abstract

An expression was derived for the velocity distribution of turbulent flow behind a system of rods spaced at equal distances from each other. Prandtl's expression in terms of the mixing length was assumed for the statement of the shear stress of the turbulent flow. The resulting velocity distribution was given by a second-order nonlinear differential equation which was solved in terms of the elliptic functions of Weierstrass. These were expressed in terms of Jacobian elliptic functions. The results are in close agreement with those obtained by simple quadrature.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1953
Accession Number
AD0016989

Entities

People

  • R. G. Olsson

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Dynamics
  • Integrals
  • Linear Differential Equations
  • Mathematics
  • Nonlinear Differential Equations
  • Shear Stresses
  • Stresses
  • Turbulent Flow

Readers

  • Fluid Dynamics.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Hall-Effect Thruster