Blucher Physics Proceedings

Agosto 2018, vol.5, num.1 - IX Encontro Científico de Física Aplicada
Artigo - Open Access Idioma principal | Segundo principal

Analysis of the Shear Viscosity in Quaternary Mixtures of Rarefied Gases

Analysis of the Shear Viscosity in Quaternary Mixtures of Rarefied Gases

Silva, Adriano Willian da; Martins, Kayk Bueno; Princivalvvvvvvvvv, Rafael Lima

Artigo:

In this work, we consider a dilute reactive mixture of four constituents undergoing the reversible reaction A+B C+D. The mixture is described using the Boltzmann equation (BE) to chemically reactive systems which treats both elastic and reactive collisions as hard spheres type. We use the Chapman-Enskog method, at the first-order level of the Enskog expansion, to determine the non-equilibrium solution to the system in a chemical regime for which both elastic and reactive collisions occur with comparable characteristic times. In this case, the chemical reaction can be considered in its final stage, close to chemical equilibrium (fast process). We then determine the transport coefficients and focus our analysis on the evaluation of the coefficient associated with the shear viscosity and investigate how the reaction heat and the activation energy changes this coefficient.

In this work, we consider a dilute reactive mixture of four constituents undergoing the reversible reaction A+B C+D. The mixture is described using the Boltzmann equation (BE) to chemically reactive systems which treats both elastic and reactive collisions as hard spheres type. We use the Chapman-Enskog method, at the first-order level of the Enskog expansion, to determine the non-equilibrium solution to the system in a chemical regime for which both elastic and reactive collisions occur with comparable characteristic times. In this case, the chemical reaction can be considered in its final stage, close to chemical equilibrium (fast process). We then determine the transport coefficients and focus our analysis on the evaluation of the coefficient associated with the shear viscosity and investigate how the reaction heat and the activation energy changes this coefficient.

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DOI: 10.5151/ecfa2018-06

Referências bibliográficas
  • [1] R. D. Levine, Molecular Reaction Dynamics, Cambridge University Press, 2005. [2] I. Prigogine and E. Xhrouet, On the perturbation of Maxwell distribution function by chemical reaction in gases, Physica, Amsterdam,15: 913-932, 1949. [3] R. D. Present, Note on the simple collision theory of bimolecular reactions, Proc. Natl. Acad. Sci. U.S.A. 41: 415-417, 1995. [4] J. Ross and P. Mazur, Some deductions from a formal statistical mechanical theory of chemical kinetics, J. Chem. Phys. 35: 19-28, 1960. [5] B. D. Shizgal and M. Karplus, Nonequilibrium contributions to the rate of reactions I. Perturbation of the velocity distribution function, J. Chem. Phys. 52: 4262-4278, 1970. [6] A. W. Silva, G. M. Alves and G. M. Kremer, Transport phenomena in a reactive quaternary gas mixture, Physica A 374: 533-548, 2007. [7] A. S. Cukrowski, J. Popielawski, L. Qin and J. S. Dahler, A simplified theoretical analysis of nonequilibrium effects in bimolecular gas phase reactions, J. Chem. Phys., 97: 9086-9093, 1992. [8] W. Stiller, Arrhenius equation and a non equilibrium kinetics, Teubner, Leipzig, 1990 [9] G. M. Kremer, An introduction to the Boltzmann equation and transport process in gases. Springer, Berlin, 2010. [10] J. C. Light, J. Ross and K. E. Shuler, In Kinetic Processes in Gases and Plasmas, edited by A. R. Hochstim. Academic, New York, p. 281-321, 1969. [11] B. Shizgal and A. Chikhaoui, On the use temperature parameterized rate coefficients in the estimation of nonequilibrium reaction rates, Physica A 365: 317-332, 1996.
Como citar:

Silva, Adriano Willian da; Martins, Kayk Bueno; Princivalvvvvvvvvv, Rafael Lima; "Analysis of the Shear Viscosity in Quaternary Mixtures of Rarefied Gases", p-31-35. In: . São Paulo: Blucher, 2018.
ISSN 23582359, DOI 10.5151/ecfa2018-06

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