THE FLOW OF A DILUTE SUSPENSION OF SOLIDS IN A LAMINAR GAS BOUNDARY LAYER.

Abstract

A model is established to carry out a theoretical study of the behavior of a dilute suspension of solids in a viscous, heatconducting gas. A general set of mechanical and thermal gasparticle interactions is taken into account by the model. The mechanical interactions include torque, drag, and lift. The thermal interactions include convection and radiation. The effect of these interactions on the state of stress and heat conduction within the suspension is treated. The conservation laws are applied to the model, and the extended Navier-Stokes equations are derived. The boundary-layer approximation is applied to these extended conservation equations. The integral method is applied to the resulting laminar boundary-layer equations for the flat plate. It is demonstrated that the asymptotic (equilibrium) solutions are of practical importance. These solutions are presented and predict an increase in wall drag and heat transfer. The behavior of the non-equilibrium regime is examined and a simple solution is presented. These results indicate an additional small increase in the wall drag and heat transfer compared to the corresponding asymptotic solutions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 29, 1964
Accession Number
AD0601624

Entities

People

  • Daniel H. Kiely
  • Raymond B. Edelman

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Convection
  • Equations
  • Heat Transfer
  • Integrals
  • Laminar Boundary Layer
  • Layers
  • Mathematics
  • Navier Stokes Equations
  • Radiation

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.