On global and internal dynamics of spots: A theoretical approach
type: Item
instance of: scholarly article
title: On global and internal dynamics of spots: A theoretical approach
zbMATH Open document ID: 0798.76030
DOI: 10.1007/BF02383606
author: B. T. Dodia
author: Frank T. Smith
author: Rowena G. A. Bowles
published in: Journal of Engineering Mathematics
publication date: 1994-05-08T00:00:00Z
review text: This paper studies the currently topical problem of development of a three-dimensional travelling disturbance which evolves from an initially localized disturbance in a laminar boundary layer. The analysis is based on a study of the three-dimensional unsteady incompressible Euler equations in a boundary layer. Specifically, attention is directed toward the nonlinear solution at large times, far downstream from the position of the initial disturbance. In the appropriate time zone the solution has a three-layer structure, and this is exploited. A careful asymptotic analysis is performed for the successive amplitudes which arise, and the mathematical analysis is interpreted physically. The effect of inclusion of viscosity in the boundary layer is also discussed.
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76F10
zbMATH DE Number: 561440
zbMATH Keywords: turbulent spots
zbMATH Keywords: laminar boundary layer
zbMATH Keywords: unsteady incompressible Euler equations
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: viscosity
reviewed by: Brian Straughan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02383606
OpenAlex ID: W2088730881
description: scientific article; zbMATH DE number 561440