Nonlinear breaking of weak waves in a thermally conducting and dissociating gas flow
type: Item
instance of: scholarly article
title: Nonlinear breaking of weak waves in a thermally conducting and dissociating gas flow
zbMATH Open document ID: 0666.76097
DOI: 10.1016/0378-4371(89)90030-7
author: Arisdudan Rai
author: J. P. Vishwakarma
author: G. Haidar
author: Sudhir Kumar
published in: Physica A
publication date: 1989-01-01T00:00:00Z
review text: The singular surface theory is used to determine the mode of propagation of a weak wave and to evaluate the behaviour at the wave head. It is shown that the velocity of propagation relative to the normal gas velocity is the effective isothermal velocity of sound. The effects of dissociation, thermal conduction and the initial wave front curvature on the weak waves are discussed. The growth and decay properties of weak discontinuities headed by wave fronts in a thermally conducting and dissociating gas flow are investigated. Exact predictions of true non- linear progress of the flow variable gradients at the wave front are made for converging and diverging waves. It is found that under dissociation effects, shock wave formation is either disallowed or delayed while thermal conduction accelerates the process of termination of a weak wave into a shock wave.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 4091070
zbMATH Keywords: singular surface theory
zbMATH Keywords: propagation of a weak wave
zbMATH Keywords: wave head
zbMATH Keywords: isothermal velocity of sound
zbMATH Keywords: properties of weak discontinuities
zbMATH Keywords: thermally conducting and dissociating gas flow
MaRDI profile type: Publication
full work available at URL: 0378-4371(89)90030-7
OpenAlex ID: W1978323067
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description: scientific article; zbMATH DE number 4091070