Application of the theory of Markov chains to model heat and mass transfer between stochastically moving particulate and gas flows

V. Mizonov (1) , Henri Berthiaux (2) , Patricia Arlabosse (2) , D. Djerroud (2)

1 Department of Applied Mathematics (Ivanovo, Russie)
2 RAPSODEE - Centre de recherche d'Albi en génie des procédés des solides divisés, de l'énergie et de l'environnement

A cell model to describe heat and mass transfer between two media, one or both of which are involved in stochastic motion, is proposed. The model consists of two chains of cells to describe 1D stochastic motion of the flows. Each couple of corresponding cells experiences heat and mass exchange at every transition. The model allows describing the transient process as well as the steady-state distribution of parameters of the flows. It allows taking into account such non-linear phenomena as phase transformation (boiling, for example) and the internal heat sources caused, for example, by chemical reactions. The examples of modelling given in the paper demonstrate the ability of the model to describe all necessary features of the process.

Mots clés: Markov chain; matrix of transition probabilities; heat and mass transfer; phase transformation; stochastic granular flow; chemical reaction

Domaines: Génie chimique; Génie des procédés

V. Mizonov, Henri Berthiaux, Patricia Arlabosse, D. Djerroud. Application of the theory of Markov chains to model heat and mass transfer between stochastically moving particulate and gas flows. Granular Matter, 2008, 10 (4), pp.335-340. ⟨10.1007/s10035-008-0094-2⟩. ⟨hal-01643400⟩