Intensive injection of fluid into a hypersonic stream from the surface of a finite length plate
type: Item
instance of: scholarly article
title: Intensive injection of fluid into a hypersonic stream from the surface of a finite length plate
zbMATH Open document ID: 0453.76056
DOI: 10.1016/0021-8928(79)90177-1
author: I. I. Vigdorovich
published in: Journal of Applied Mathematics and Mechanics
publication date: 1979-01-01T00:00:00Z
review text: Intensive uniform injection of an incompressible fluid from the surface of a plane plate into a parallel hypersonic flow of perfect gas is discussed using a thin layer approximation to calculate the flow near the plate. To describe the surrounding hypersonic flow the so called tangent wedge method and Newton's formula, respectively, are applied. The introduction of dimensionless variables of order unity into the thin layer equations leads to a description of the contour of the contact surface between the gas and the fluid or the thin layer thickness respectively. Finally one gets a linear integral equation for the pressure distribution along the plate. The governing parameter is the pressure at the trailing edge of the plate. Great parts of the paper are concerned with the analytic solution of the integral equation. This succeeds in the application of Laplace transforms and some other transformations combined with the introduction of several mathematical functions such as the gamma function and the Riemann zeta function. As a result the pressure distribution at the plate is expressed by series expansions connected with these functions.
Mathematics Subject Classification ID: 76K05
zbMATH DE Number: 3709814
zbMATH Keywords: intensive uniform injection
zbMATH Keywords: perfect gas
zbMATH Keywords: thin layer approximation
zbMATH Keywords: Laplace transforms
zbMATH Keywords: gamma function
zbMATH Keywords: Riemann zeta function
MaRDI profile type: Publication
full work available at URL: 0021-8928(79)90177-1
OpenAlex ID: W1558504376
cites work: Flow over a finite plate with massive injection.
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description: scientific article; zbMATH DE number 3709814