Hypersonic flow past a rectangular profile through which gas is blown strongly
type: Item
instance of: scholarly article
title: Hypersonic flow past a rectangular profile through which gas is blown strongly
zbMATH Open document ID: 0539.76060
DOI: 10.1007/BF01090710
author: I. I. Vigdorovich
published in: Fluid Dynamics
publication date: 1982-01-01T00:00:00Z
review text: The hypersonic flow past a rectangular profile and past the end of a cylinder with strong uniformly distributed subsonic blowing of inviscid gas at the front face of the body is discussed. Main interest is drawn on the form of the contact surface separating the blowing region from the exterior flow and on the pressure distribution at the body front face. The so called modified Newton formula is used and flow functions are established for two flow regimes, namely that near the center of the front face and that near the edge located sidewards. Series expansion with respect to the thickness of the thin blowing layer are established. With the help of the boundary conditions at the body one gets an integral equation for the pressure. The solutions of the integral equation for the two-dimensional as well as for the axisymmetric flow are discussed in detail by the use of power series expansions including asymptotic expansions. Among others Laplace transformations and descriptions using the hodograph plane of the velocity are employed. The obtained exterior and interior solutions are matched to get the pressure at the front face of the body. The physical meanings of the different parts of the solutions are discussed in view of the drag of the body in connection with the blowing rate.
Mathematics Subject Classification ID: 76K05
zbMATH DE Number: 3858709
zbMATH Keywords: contact surface separating
zbMATH Keywords: blowing region from exterior flow
zbMATH Keywords: pressure distribution on front face
zbMATH Keywords: thickness of thin blowing layer
zbMATH Keywords: pressure integrand equation
zbMATH Keywords: rectangular profile
zbMATH Keywords: cylinder with strong uniformly distributed subsonic blowing of inviscid gas
zbMATH Keywords: modified Newton formula
zbMATH Keywords: two-dimensional
zbMATH Keywords: axisymmetric
zbMATH Keywords: power series expansions
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Laplace transformations
zbMATH Keywords: hodograph plane
zbMATH Keywords: exterior and interior solutions
zbMATH Keywords: drag
reviewed by: J. T. Heynatz
MaRDI profile type: Publication
cites work: Intensive injection of fluid into a hypersonic stream from the surface of a finite length plate
cites work: Blowing into a supersonic stream through a permeable surface
cites work: Q5509552
cites work: Q5343650
cites work: Q4275389
cites work: Q3915482
cites work: Q5510246
cites work: Q5797273
full work available at URL: https://doi.org/10.1007/bf01090710
OpenAlex ID: W2086951907
description: scientific article; zbMATH DE number 3858709