The Normal to the Wall Pressure Gradient for Blasius and Falkner-Skan Boundary Layer Flow

Abstract

The theoretical description of forced laminar flow over a flat plate is revisited. In many texts, an order of magnitude argument is incorrectly used to claim that the momentum equation normal to the wall reduces to just the pressure gradient term equal to zero. We use a Falkner-Skan analysis to discern the true nature of the normal to the wall momentum conservation equation. The Falkner-Skan solution obtained from the x-momentum equation (parallel to the wall) is usedto calculate the normal to the wall y-pressure gradient using the y-momentum equation. The normal pressure gradient for the Blasius, as well as a more realistic Falkner-Skan solution, are examined.

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Document Details

Document Type
Technical Report
Publication Date
Nov 07, 2018
Accession Number
AD1063207

Entities

People

  • David Weyburne

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Air Force Research Laboratories
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Governments
  • Laminar Flow
  • Layers
  • Momentum
  • Pressure Gradients
  • Test Facilities

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.