VORTICITY AMPLIFICATION IN STAGNATION-POINT FLOW AND ITS EFFECT ON HEAT TRANSFER.

Abstract

Recently a mathematical model was proposed to demonstrate that vorticity amplification by stretching was an important mechanism underlying the sensitivity of stagnation-point heat transfer on cylinders to free stream turbulence. In this work a second, more general, case is treated in which the approaching flow carries vorticity of scale 1.5 times the neutral. By means of iterative procedures applied on an electronic analog computer an approximate solution to the full Navier-Stokes equation is generated. The heat transfer problem is solved simultaneously for Pr = 0.70, 7.0 and 100. It is found that a vorticity input which increases the wall shear rate by less than 3% is capable of increasing the wall heat transfer rate by as much as 40%. The sensitivity of the thermal boundary layer depends on Prandtl number. In the three cases investigated it is greatest for Pr = 7.0 and least for Pr = 100. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0603503

Entities

People

  • S. P. Sutera

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Amplification
  • Analog Computers
  • Boundary Layer
  • Computers
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Free Stream
  • Heat Transfer
  • Layers
  • Mathematical Models
  • Navier Stokes Equations
  • Prandtl Number
  • Stagnation Point
  • Thermal Boundary Layer

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.

Technology Areas

  • Microelectronics