Corner Flows in Free Liquid Films

A lubrication-flow model for a free film in a corner is presented. The model, written in the hyperbolic coordinate system ξ = x² – y², η = 2xy, applies to films that are thin in the η direction. The lubrication approximation yields two coupled evolution equations for the film thickness and the velocity field which, to lowest order, describes plug flow in the hyperbolic coordinates. A free film in a corner evolving under surface tension and gravity is investigated. The rate of thinning of a free film is compared to that of a film evolving over a solid substrate. Viscous shear and normal stresses are both captured in the model and are computed for the entire flow domain. It is shown that normal stress dominates over shear stress in the far field, while shear stress dominates close to the corner.

Suppliers' Associations in the Japanese Automobile Industry

This paper analyzes the structure and functions of suppliers' associations (kyoryokukai) in the automobile industry in Japan. The bilateral assembler-supplier relationship has received much attention recently as a source of Japanese industrial competitiveness. However, this paper argues that the hitherto neglected area of inter-supplier coordination in technology diffusion is at least as important as the bilateral assembler-supplier relationship in accounting for the overall performance of the Japanese automotive industry. On the basis of company visits and a largescale survey of first-tier suppliers conducted by the author, the paper analyzes the reasons why suppliers' associations were established, why they continue to exist today, and their effects on economic performance.

Scattering and absorption by acoustic resonators

by Karl Uno Ingard.