An asymptotic analysis is given of the compressible, laminar boundary layer flow of a dilute gas particle mixture over a semi-infinite flat plate. The analysis extends existing work by considering more realistic drag and heat transfer relations than those provided by Stokes. A more general viscosity temperature expression is also incorporated into the analysis. The solution involves a series expansion in terms of the slip parameter of the particles. The numerical results, including the zeroth and first order approximations for the gas and particle phases, are presented for the two limiting regimes: the large slip limit near the leading edge and the small slip limit far downstream. Significant effects on the flow produced by the particles with Stokes' and non-stokes' relations are studied and clarified. The effects of some nondimensional similarity parameters, such as the Reynolds, Prandtl and Eckert numbers, on the two phase boundary layer flow are discussed. Keywords: Dusty gas flows; Two phase flows; Boundary layer flows; Partial differential equations; Numerical analysis; Canada.

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).

The book provides personal memories along with description of scientific works written by ex-graduate students and research associates of the late Professor Glass. The described research work covers a wide range of shock wave phenomena, resulting from seeds planted by Professor Glass. Professor Glass was born in Poland in 1918. He immigrated together with his parents to Canada at the age of 12 and received all his professional education at the University of Toronto, Canada. He became a world recognized expert in shock wave phenomena, and during his 45 years of active research he supervised more than 125 master and doctoral students, post-doctoral fellows and visiting research associates. In this book seven of his past students/research-associates describe their personal memories of Professor Glass and present some of their investigations in shock wave phenomena which sprung from their past work with Professor Glass. Specifically, these investigations include underwater shock waves, shock/bubble interaction, medical applications of shock wave, various types of shock tubes and shock tube techniques, shock wave attenuation and different types of shock wave reflections.

Frontiers of Fluid Mechanics documents the proceedings of the Beijing International Conference on Fluid Mechanics, held in Beijing, People's Republic of China, 1-4 July 1987. The aims of the conference were to provide a forum for a cross-sectional review of the state-of-the-art and new advances in various branches of fluid mechanics, and to promote the exchange of ideas by experts from different parts of the world. The contributions made by researchers at the conference are organized into 18 parts. Part 1 presents invited lectures covering topics such as separated flow, porous flow, and turbulence modeling. Part 2 contains papers dealing with turbulence. Parts 3, 4, and 5 include studies on flow stability and transition, transonic flow, and boundary layer flows and shock waves, respectively. Part 6 is devoted to aerodynamics and gas dynamics. Part 7 examines water waves while Part 8 is devoted to hydrodynamics and hydraulics. The papers in Part 9 examine bubbles and drops. Part 10 deals with experiments involving vortices, jets, wakes, and cavities. Part 11 contains studies on geophysical and astrophysical fluid mechanics. Parts 12 and 13 investigate two-phase flow and flow through porous media, and non-Newtonian flow, respectively. Part 14 takes up magneto-hydrodynamics and physic-chemical flow. Part 15 covers biofluid mechanics. Part 16 contains papers on industrial and environmental fluid mechanics while Part 17 deals with heat transfer. Part 18 contains papers that were received after the conference.