Approximate Methods for Calculating the Properties of Heated Laminar Boundary Layers in Water

Abstract

A laminar boundary layer integral method (the method of Thwaites and Walz) is extended to handle variable fluid properties. This integral method uses simple correlations of universal parameters based on similar boundary layer flows. These universal parameters are correlated for water, which has a strongly temperature dependent viscosity, based on numerical solutions of heated water wedge flows. This extended integral method, in conjunction with the Lighthill high-Prandtl-number approximation for heat transfer, can be used to compute displacement thickness, momentum thickness, wall shear stress, Nusselt number, and higher derivatives of the velocity and temperature profiles at the wall for nonsimilar boundary layers. These parameters can be computed with a hand calculator. The extended integral method is tested for the highly nonsimilar Howarth retarded flow with t sub w = 104 deg F and t sub e = 32 deg F; the method is accurate for this flow, except in the region near separation.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA050372

Entities

People

  • G. M. Harpole
  • J. Aroesty
  • S. A. Berger

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Control
  • Boundary Layer Flow
  • Buoyancy
  • Couette Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Heat Transfer
  • Hydrodynamics
  • Mechanical Properties
  • Prandtl Number
  • Pressure Gradients
  • Shear Stresses
  • Temperature Gradients
  • Underwater Vehicles
  • Vehicles

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Fluid Mechanics and Fluid Dynamics.
  • Neural Network Machine Learning.