New models for the differential cross-section of a polyatomic gas in the frame of the scattering kernel theory
type: Item
instance of: scholarly article
title: New models for the differential cross-section of a polyatomic gas in the frame of the scattering kernel theory
zbMATH Open document ID: 0964.76079
DOI: 10.1016/S0093-6413(98)00032-9
author: Carlo Cercignani
author: Maria Lampis
author: Jens Struckmeier
published in: Mechanics Research Communications
publication date: 2000-10-03T00:00:00Z
review text: This paper is concerned with the scattering kernel theory for polyatomic gases. First, the authors derive the Boltzmann equation for distribution function \(f(v,\mathcal{E},r,t),\) where \(\mathcal{E}\) is the rotational energy, and then review earlier models of elastic and maximally inelastic interactions, as well as discuss the one-parameter Borgnakke-Larsen (B-L) model, which is a linear interpolation of the two above-mentioned models. Then the authors introduce two new two-parameter scattering kernels, one of which reduces to the B-L model in a parameter limit. The kernels are used to calculate the transport coefficients like viscosity or thermal conductivity. A comparison with experiments shows that the new models are more accurate than the B-L model, and some theoretical reasoning for this is provided.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 1445930
zbMATH Keywords: polyatomic gases
zbMATH Keywords: scattering kernel theory
zbMATH Keywords: elastic interaction
zbMATH Keywords: maximally inelastic interaction
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: distribution function
zbMATH Keywords: rotational energy
zbMATH Keywords: Borgnakke-Larsen model
zbMATH Keywords: two-parameter scattering kernels
zbMATH Keywords: transport coefficients
reviewed by: Reinhard Illner
MaRDI profile type: Publication
Wikidata QID: Q127310227
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description: scientific article; zbMATH DE number 1445930