Published 6 issues per year
ISSN Print: 2152-5102
ISSN Online: 2152-5110
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Asymptotic Space-Time Properties of Laminar Boundary Layers above Curved Surfaces
ABSTRACT
The effect of centrifugal forces on transient processes in laminar boundary layers and the time-space parameters of their two- and three-dimensional vortex structures are investigated. Radius of curvature R of the flow-washed surface is taken to be constant for simplicity and it is assumed that the Reynolds number ReR is high. Two- and three-dimensional equations of the boundary layer are obtained and scenari of its development in terms of space-time scales of vortex structures are proposed using methods of matching asymptotic expansions with a small parameter equal to the reciprocal of the Reynolds number. In particular, the space-time properties of two- and three-dimensional boundary layers are investigated as a function of the problem's governing parameters. The concept of susceptibility for this class of problems is formalized and validated.