VISCOUS AND THERMAL BOUNDARY LAYERS IN INCOMPRESSIBLE STEADY FLOWS ALONG LONGITUDINALLY CURVED SURFACES INCLUDING BOUNDARY LAYER CONTROL.

Abstract

Self similar solutions for the viscous and thermal boundary layer are deduced in second order approximation for flows along longitudinally curved surfaces without or with boundary layer control. The solutions cover surfaces the curvature K of which is proportional to a power of the arc length x. To this family of surfaces also belong the stagnation point flow at a cylinder and the wedge flows with curved flanks of the wedge. The apex of the wedge is correlated to the curvature dependence on the arc length. The main problems of the work are the derivation of optimal coordinates which render a solution for the whole boundary layer and to set up a main flow being a potential flow in the framework of the approximation. Numerical solutions are deduced by applying the Runge Kutta method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0685247

Entities

People

  • F. Schultz-grunow
  • H. J. Henseler

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Control
  • Curvature
  • Flow
  • Layers
  • Potential Flow
  • Runge Kutta Method
  • Stagnation Point
  • Steady Flow
  • Thermal Boundary Layer

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.