Nonlinear three-dimensional growth of perturbations in a Blasius flow
type: Item
instance of: scholarly article
title: Nonlinear three-dimensional growth of perturbations in a Blasius flow
zbMATH Open document ID: 0635.76043
DOI: 10.1007/BF01050848
author: A. A. Zajtsev
author: A. I. Yurokin
published in: Fluid Dynamics
publication date: 1987-01-01T00:00:00Z
review text: We consider a model which takes into account the interaction between the strong two-dimensional and three-dimensional perturbations of the same frequency and all the forms of the secondary flows generated by them. A system of differential equations describing the nonlinear three- dimensional evolution of the amplitudes of the perturbations introduced into the boundary layer with the form of Tollmien-Schlichting waves was obtained and investigated numerically. The coefficients of this system of equations were determined from the hydrodynamic equations.
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 4035414
zbMATH Keywords: nonlinear three-dimensional growth of perturbations
zbMATH Keywords: a Blasius flow
zbMATH Keywords: three-dimensional perturbations
zbMATH Keywords: secondary flows
zbMATH Keywords: nonlinear three- dimensional evolution
zbMATH Keywords: boundary layer
zbMATH Keywords: Tollmien-Schlichting waves
zbMATH Keywords: hydrodynamic equations
MaRDI profile type: Publication
cites work: The three-dimensional nature of boundary-layer instability
cites work: Non-linear resonant instability in boundary layers
cites work: Nonlinear Stability of Parallel Flows by High-Ordered Amplitude Expansions
cites work: Q3274795
full work available at URL: https://doi.org/10.1007/bf01050848
OpenAlex ID: W2022494424
description: scientific article; zbMATH DE number 4035414