APPROXIMATE INTEGRAL APPROACH TO STRATIFICATION WITH BOTTOM HEATING.

Abstract

An analysis is presented for thermal stratification of a subcooled liquid draining from cylindrical flat-bottomed vessels with both wall and bottom heating. It is based on natural convection boundary layer flow along the vertical walls in the unstratified region, assumes time invariant dimensionless temperature profiles in the stratified region and assumes the bottom heat rate to mix instantaneously with the uniform temperature unstratified region. For a non-draining vessel the analysis predicts an asymptotic overall temperature profile to be approached, i.e., asymptotic stratified layer thickness and asymptotic temperature difference between the surface and the unstratified region.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0619694

Entities

People

  • G. C. Vliet

Organizations

  • Lockheed Martin Missiles and Space

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Convection
  • Flow
  • Integrals
  • Layers
  • Mathematics
  • Stratification
  • Thickness

Readers

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