Theoretical Analysis for Unsteady Boundary Layer on a Linearly Retarded Semi-Infinite Flat Plate

Abstract

As the first step in systematic research on decelerating unsteady boundary layers, the fundamental problem of the unsteady laminar boundary layer on a linearly retarded semi-infinite flat plate has been analyzed theoretically. Precise solutions for the flow characteristics are obtained by means of a series expansion technique and a numerical analysis. In addition, an original semi-quantitative "viscous diffusion theory" has been developed, and the physical mechanism and structure of flow behavior in the boundary layer, which cannot be explained well by any existing numerical or similar quantitative-oriented methods, have been analyzed phenomenally and are clarified satisfactorily by this new theory.