000013860 001__ 13860 000013860 005__ 20161115094003.0 000013860 04107 $$aeng 000013860 046__ $$k2016-08-21 000013860 100__ $$aScholle, Markus 000013860 24500 $$aA Variational Framework for Reactive Flows and Shock Waves 000013860 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000013860 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000013860 506__ $$arestricted 000013860 520__ $$2eng$$aFor physical systems formulated within the framework of Lagrange formalism the dynamics is completely defined by only one function: the Lagrangian. This concept successfully applies e.g. to Newtonian mechanics, quantum mechanics, electrodynamics and nuclear physics. In continuum theories, however, many open problems remain up to date. In this paper is shown how reactive flows and shock waves are embedded into the framework of Lagrange formalism: motivated by ideas formulated by Anthony [1], an existing Lagrangian of Seliger and Whitham [2] for adiabatic baroclinic flow is extended towards flows with chemically reacting agents along the line of a systematic procedure [3]. A key feature is the use of complex fields, invoking discontinuities of the Lagrangian for irreversible processes and therefore requiring an extension of the general formalism. This allows for elaborating systems in thermofluiddynamics with discontinuities in general and with shock waves in particular. The present state of the theory and examples are shown. 000013860 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000013860 653__ $$a 000013860 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000013860 720__ $$aScholle, Markus 000013860 8560_ $$ffischerc@itam.cas.cz 000013860 8564_ $$s53630$$uhttps://invenio.itam.cas.cz/record/13860/files/PO.FM03-2.05.5.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 641, code PO.FM03-2.05.5). 000013860 962__ $$r13812 000013860 980__ $$aPAPER