SECOND-ORDER THEORY FOR AIRFOILS IN NONUNIFORM SHEAR FLOW.

Abstract

A second-order theory was developed for airfoils in nonuniform shear flow. It is assumed that both the nonuniform vorticity in the approaching stream and the disturbances caused by the airfoil are of the same small order of magnitude. The first-order stream function satisfies Laplace's equation, which can be solved by known methods. The second-order stream function satisfies Poisson's equation, which was solved by using the Green's function. Expressions for lift and moment coefficients were obtained for a symmetric Joukowski airfoil in a nonuniformly sheared flow whose velocity profile may be represented by a third-order polynomial. Numerical values of lift and moment coefficients were obtained for parabolic flow past a Joukowski airfoil.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0664182

Entities

People

  • C. F. Shen
  • R. J. Wright

Organizations

  • Rutgers University Department of Mechanical and Aerospace Engineering

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Equations
  • Flow
  • Mathematics
  • Nonuniform
  • Polynomials
  • Shear Flow

Fields of Study

  • Physics

Readers

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