PRANDTL NUMBER DISTRIBUTION IN A TURBULENT BOUNDARY LAYER WITH HEAT TRANSFER AT SUPERSONIC SPEEDS,

Abstract

An investigation is described which determined the Prandtl Number distribution across a turbulent, compressible boundary layer, both with and without heat transfer at the wall. The calculations were performed by integrating the continuity, momentum, and energy equations, and by using an iteration process to determine the velocity and temperature profiles. Several assumed temperature-velocity polynomials were developed and were checked for accuracy by means of the iteration process. Experimentally determined values of temperature, pressure, shear stress, heat transfer, Prandtl Number and velocity parameters and the Mach Number distribution across the boundary layer for two axial stations on a flat plate were used as the input parameters for an electronic digital computer. The Prandtl Numbers for the adiabatic cases ranged from about 0.89 near the wall to about 10 near the free stream for a wide range of Mach and Reynolds Numbers. For the heat transfer cases, the Prandtl Numbers varied from about 0.75 near the wall to a value of about 1.0 near the free stream when using a fourth-order temperature-velocity equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0427156

Entities

People

  • William C. Rochelle

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Computers
  • Digital Computers
  • Equations
  • Fluid Mechanics
  • Free Stream
  • Heat Transfer
  • Iterations
  • Layers
  • Mach Number
  • Prandtl Number
  • Reynolds Number
  • Shear Stresses
  • Turbulent Boundary Layer

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight
  • Hypersonics - Hypersonic Flow
  • Microelectronics