Variable Wall Temperature Effects on Multicellular Natural Convection in a Horizontal Annulus

Abstract

The purpose of this study was to examine natural convection within a narrow horizontal annulus subject to variable inner cylinder temperature distributions. Both numerical and analytical approaches were taken in determining the effects of variable temperature conditions imposed on the inner cylinder in triggering or suppressing multicellular flow instabilities. The two- dimensional Navier-Stokes equations are simplified into boundary-layer equations for the assumptions of large Rayleigh number, small annular gap, and small Prandtl number. These 2-D unsteady boundary-layer equations are discretized using finite-differencing techniques. Numerical solutions to these governing equations are then obtained by using a stable second-order, fully-implicit, time-accurate, Gauss-Siedel iterative procedure. In addition, analytical steady- state solutions to these simplified equations are obtained using perturbation methods. Theses.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA202762

Entities

People

  • David L. Bennett

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Engineers
  • Flow Fields
  • Flow Visualization
  • Fluid Dynamics
  • Geometry
  • Heat Transfer
  • Navier Stokes Equations
  • Plastic Explosives
  • Steady Flow
  • Steady State
  • Three Dimensional
  • Two Dimensional

Readers

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