A BGK model for reactive mixtures of polyatomic gases with continuous internal energy. (21st February 2018)

• Record Type: Journal Article
• Authors: Bisi, M; Monaco, R; Soares, A J
• Is Part Of: Journal of physics. Volume 51:Number 12(2018)
• Publication Date: 2018-02-21
• Subjects: polyatomic gas mixtures -- chemical reactions -- Boltzmann equation -- BGK models; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aaac8e
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: In this paper we derive a BGK relaxation model for a mixture of polyatomic gases with a continuous structure of internal energies. The emphasis of the paper is on the case of a quaternary mixture undergoing a reversible chemical reaction of bimolecular type. For such a mixture we prove an H -theorem and characterize the equilibrium solutions with the related mass action law of chemical kinetics. Further, a Chapman–Enskog asymptotic analysis is performed in view of computing the first-order non-equilibrium corrections to the distribution functions and investigating the transport properties of the reactive mixture. The chemical reaction rate is explicitly derived at the first order and the balance equations for the constituent number densities are derived at the Euler level.