Modelling of convective heat explosion

• Autorzy: Ducrot A. , Volpert V.
• Języki publikacji: EN

Abstrakty

EN

A strong temperature dependence of the reaction rate can result, for an exothermic chemical reaction, in heat explosion. In this work we study numerically the influence of natural convection on heat explosion. The model consists of the reaction-diffusion equation coupled with the Navier-Stokes equations under the Boussinesq approximation. A new type of heat explosion, the oscillating heat explosion is found. Critical conditions of explosion and complex nonlinear dynamics of the reaction-diffusion-convection problem are studied.

Słowa kluczowe

EN

exothermic chemical reaction; Navier-Stokes equations; heat explosion

PL

reakcja chemiczna egzotermiczna; równania Naviera-Stokesa; rozwiązanie oscylacyjne równań Naviera-Stokesa; równanie dyfuzji sprzężone z równaniem Naviera-Stokesa; wybuch cieplny

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2005
• Tom: Vol. 46, no 3
• Strony: 149--163
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Ducrot A.

• Laboratoire de Mathematiques Appliquees UMR 5585 CNRS, Ecole Centrale de Lyon, 69134 Ecully, France

autor

Volpert V.

• Laboratoire de Mathematiques Appliquees UMR 5585 CNRS, Universite Lyon 1, 69622 Villeurbanne, France

Bibliografia

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• 2. M. BELK, V. VOLPERT, Modelling of heat explosion with convection, Chaos, 14, 263-279, 2004.
• 3. T. DUMONT, S. GENIEYS, M. MASSOT, V. VOLPERT, Interaction of thermal explosion and natural convection: critical conditions and new oscillating regimes, Siam J. Appl. Math., 63, 351-372, 2002.
• 4. D.A. FRANK-KAMANETSKII, Diffusion and heat transfer in chemical kinetics, Plenum, New York 1969.
• 5. A.S. MERZHANOV, E.A. SHTESSEL, Free convection and thermal explosion in reactive systems, Astronautica Acta,' 18, 191-199, 1973.
• 6. N.N. SEMENOV, To the theory of combustion processes, Zh. Fiz. Khim., 4, 4-17, 1933.
• 7. N.N. SEMENOV, Thermal theory of combustion and explosions, Usp. Fiz. Nauk, 23, 4-17, 1940.
• 8. Y.B. ZELDOVICH, G.I. BARENBLATT, V.B. LIBROVICH, G.M. MAKHVILADZE, The mathematical theory of combustion and explosions, Plenum, New York 1985.