Finite-Difference Solutions for Compressible Laminar Boundary-Layer Flows of a Dusty Gas over a Semi-Infinite Flat Plate.
Abstract
A finite difference method is used to investigate compressible, laminar boundary layer flows of a dilute dusty gas over a semi-infinite flat plate. Details are given of the implicit finite difference schemes as well as the boundary conditions, initial conditions and compatibility conditions for solving the gas particle boundary layer equations. The flow profiles for both the gas and particle phases were obtained numerically along the whole length of the plate from the leading edge to far downstream of it. The finite difference solutions in the large slip region and the small slip region are compared with the asymptotic solutions and good agreement is achieved. The boundary layer characteristics of interest, including the wall shear stress, the wall heat transfer rate and the displacement thickness, are calculated. The alteration of the flow properties owing to the presence of particles is discussed in detail. It was found that the boundary layer flow of a dusty gas can be divided into three distinct flow regimes which are characterized by quasi-frozen, nonequilibrium and quasi-equilibrium flows and that at a critical distance from the loading edge the particle velocity at the wall decelerates to zero and near equilibrium is achieved between the gas and particle flows. For the laminar boundary layer of a dusty gas, the shear stress and the heat transfer at the wall are increased and the displacement thickness is decreased compared with the pure gas case alone. (Canada).
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1986
- Accession Number
- ADA174952
Entities
People
- B. Y. Wang
- Irvine I. Glass
Organizations
- University of Toronto