Surface properties and stability of shock waves in gases
type: Item
instance of: scholarly article
title: Surface properties and stability of shock waves in gases
zbMATH Open document ID: 0629.76072
DOI: 10.1016/0021-8928(86)90031-6
author: A. G. Bashkirov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The boundary conditions on a curved shock wave are obtained from the laws of conservation of mass, energy, and momentum, ahead of the shock front, in the shock layer, and behind the shock front. They differ from the well-known conditions, allowing for the viscosity of the gas and heat conduction, in having extra terms, proportional to the shock-front curvature, the main extra term being the surface pressure with the surface tension. It must be said that, if the surface tension on the equilibrium inter-phase surfaces is linked with the anisotropy of the mean virial of the inter-molecular interaction force, then it is determined in the shock wave by the anisotropy of the viscous stresses in the shock layer and reaches a value 1 N/m at \(M_ 0=10\) and 10 N/m at \(M_ 0=30\). By taking account of surface tension when analyzing the stability of a plane shock wave with respect to weak disturbance of the surface of discontinuity, we arrive at absolute instability of the mode of spontaneous sound radiation, which has previously been regarded as neutrally stable.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 4025031
zbMATH Keywords: boundary conditions
zbMATH Keywords: curved shock wave
zbMATH Keywords: conservation of mass
zbMATH Keywords: inter-phase surfaces
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90031-6
OpenAlex ID: W2069836379
cites work: Q5660667
cites work: Structure of a shock wave in a vibrationally relaxing diatomic gas
cites work: The Solution of the Boltzmann Equation for a Shock Wave
cites work: Direct Simulation and the Boltzmann Equation
cites work: Q3250298
description: scientific article; zbMATH DE number 4025031