FIRST ORDER SLIP EFFECTS ON THE COMPRESSIBLE LAMINAR BOUNDARY LAYER OVER SLENDER BODIES OF REVOLUTION WITH ZERO PRESSURE GRADIENT,

Abstract

Probstein and Elliott's analysis of the transverse curvature effect on the zero pressure gradient, constant wall temperature, laminar boundary layer is extended to first order slip flow. The effect of slip and temperature jump at the wall on boundary layer flows is characterized by a slip parameter proportional to the ratio of molecular mean free path to boundary layer thickness. In first order slip flow, this parameter is small. Following Probstein and Elliott, the transverse curvature effect is characterized by a transverse curvature parameter which is proportional to the ratio of boundary layer thickness to local body radius. Hence, the present solutions are obtained as double asymptotic expansions for the same class of bodies as treated by Probstein and Elliot, namely, the bodies with local body radius proportional to arbitrary positive powers of the wetted surface length, is discussed. For several representatives of this class of bodies, the terms of the expansions up to and including the product of the first powers of the slip parameter and the transverse curvature parameter are calculated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 15, 1963
Accession Number
AD0426241

Entities

People

  • Jay M. Solomon

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Bodies
  • Bodies Of Revolution
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Curvature
  • Flow
  • Geometry
  • Laminar Boundary Layer
  • Layers
  • Mean Free Path
  • Pressure Gradients
  • Slender Bodies
  • Slip Flow
  • Transverse

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.