Boundary Layer Flow of Air Over Water on a Flat Plate

Abstract

A non-similar boundary layer theory for air blowing over a water layer on a flat plate is formulated and studied as a two-fluid problem in which the position of the interface is unknown. The problem is considered at large Reynolds number (based on chi), away from the leading edge. We derive a simple non-similar analytic solution of the problem for which the interface height is proportional to chi to the l/4 power and the water and air flow satisfy the Blasius boundary layer equations, with a linear profile in the water and a Blasius profile in the air. Numerical studies of the initial value problem suggests that this asymptotic, non-similar air-water boundary layer solution is a global attractor for all initial conditions.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1993
Accession Number
ADA271838

Entities

People

  • Amy E. Alving
  • Daniel D. Joseph
  • John Nelson

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Computers
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Mechanics
  • Minnesota
  • Reynolds Number
  • Shear Stresses
  • Surface Tension
  • United States

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.