Summary
Conservation postulates for a chemically reacting mixture are introduced in which the mass, momentum and energy gained and lost by a given constituent due to chemical reaction are explicitly included. The resulting local forms of the balance equations are derived.
Zusammenfassung
Erhaltungspostulate für chemisch reagierende Mischungen werden eingeführt, in denen die von einer gegebenen Komponente chemisch gewonnene oder verlorene Masse, Impuls und Energie explizit auftreten. Die resultierenden lokalen Bilanzgleichungen werden hergeleitet.
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References
Truesdell, C.: Sulle Basi Della Termomeccanica. Rend. Lincei (8)22, 33–38, 158–166 (1957).
Truesdell, C., Toupin, R. A.: Handbuch der Physik III/1, Secs. 159, 215, 243. Berlin-Göttingen-Heidelberg: Springer. 1960.
Green, A. E., Naghdi, P. M.: A Dynamic Theory of Interacting Continua. Intl. J. Engr. Sci.3, 231–241 (1965).
Eringen, A. C., Ingram, J. D.: A Continuum Theory of Chemically Reacting Media—I. Intl. J. Engr. Sci.3, 197–212 (1965).
Ingram, J. D., Eringen, A. C.: A Continuum Theory of Chemically Reacting Media—II. Constitutive Equations of Reacting Fluid Mixtures. Intl. J. Engr. Sci.5, 289–322 (1967).
Bowen, R. M.: Toward a Thermodynamics and Mechanics of Mixtures. Arch. Rational Mech. Anal.24, 370–403 (1967).
Bowen, R. M., Wiese, J. C.: Diffusion in Mixtures of Elastic Materials. Intl. J. Engr. Sci.7, 689–722 (1969).
Bowen, R. M., Garcia, D. J.: On the Thermodynamics of Mixtures with Several Temperatures. Intl. J. Engr. Sci.8, 68–83 (1970).
Müller, I.: A Thermodynamic Theory of Mixtures of Fluids. Arch. Rational Mech. Anal.28, 1–39 (1968).
Craine, R. E., Green, A. E., Naghdi, P. M.: A Mixture of Viscous Elastic Materials with Different Constituent Temperatures. Quart. J. Mech. and Appl. Math.23, 171–184 (1970).
Bowen, R. M.: Theory of Mixtures. Continuum Physics Vol. III, Mixtures and EM Field Theories (Eringen, A. C., ed.), New York: Academic Press. 1976.
Atkin, R. J., Craine, R. E.: Continuum Theories of Mixtures: Basic Theory and Historical Development. Quart. J. Mech. and Appl. Math.29, 210–244 (1976).
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This research was supported in part by National Science Foundation Grant ENG 75-18404.
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Bedford, A. On the balance equations for chemically reacting mixtures. Acta Mechanica 30, 275–282 (1978). https://doi.org/10.1007/BF01175907
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DOI: https://doi.org/10.1007/BF01175907