Separated flow over a backward-facing step whose height is much greater than the thickness of the lower sublayer of the interaction zone
type: Item
instance of: scholarly article
title: Separated flow over a backward-facing step whose height is much greater than the thickness of the lower sublayer of the interaction zone
zbMATH Open document ID: 0747.76045
DOI: 10.1007/BF01050308
published in: Fluid Dynamics
publication date: 1992-09-27T00:00:00Z
review text: The flow over a small backward-facing step is considered within the framework of the theory of interaction between a boundary layer and a supersonic flow. The height of the step is assumed to be much greater than the thickness of the lower sublayer of the interaction zone, but much less than the thickness of the boundary layer. At the corresponding limit the flow structure is similar in many respects to that in the well- known Batchelor model. In particular, in the limit the vorticity in the separation zone is constant, and the separation zone is surrounded by a recirculating boundary layer. For an arbitrary value of the vorticity in the separation zone the solutions in the recirculating layer and the separation zone do not match. Reducing the mismatch by varying the vorticity leads to the appearance of secondary separation. The mismatch is fairly small and linear extrapolation makes it possible to obtain a base pressure in satisfactory agreement with experiment.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76J20
zbMATH DE Number: 58638
zbMATH Keywords: boundary layer
zbMATH Keywords: supersonic flow
zbMATH Keywords: Batchelor model
zbMATH Keywords: vorticity
author: S. I. Chernyshenko
MaRDI profile type: Publication
cites work: Base pressure in laminar supersonic flow
cites work: On steady laminar flow with closed streamlines at large Reynolds number
cites work: On a particular boundary value problem arising in the investigation of closed stationary separation zones in an incompressible fluid
cites work: An approximate method of determining the vorticity in the separation region as the viscosity tends to zero
description: scientific article; zbMATH DE number 58638