VISCOUS FLUID MOTIONS AROUND DIHEDRAL ANGLES,

Abstract

General wedge and corner problems lead to the introduction of complex Navier-Stokes equations of complex laminar motions the real parts of which describe real laminar flows. Under the nonslip condition at the surface of a dihedral angle, the general solution of the complex Navier-Stokes equations is established on the basis of the corresponding integral of the Stokes equations of slow motions. The latter integration is accomplished in terms of slow-motion eigenfunctions with real eigenvalues for infinite and semi-infinite plates and with complex eigenvalues for wedges and corners. The results obtained render valuable information about the flow properties at the leading or trailing edge of a dihedral angle. In particular, laminar flows around dihedral angles are shown to be nonanalytic in their dependence upon the corresponding wedge or corner angles. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0429926

Entities

People

  • Ernst W. Schwiderski
  • Hans J. Lugt

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Dihedral Angle
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Flow
  • Integrals
  • Laminar Flow
  • Mathematics
  • Navier Stokes Equations
  • Trailing Edges

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.