Naslov
Numerical solution of the micropolar reactive real gas model for one-dimensional flow and thermal explosion

Autori
Dražić, Ivan ; Bašić-Šiško, Angela

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
EQUADIFF 15 - Conference on Differential Equations and Their Applications

Mjesto i datum
Brno, Češka Republika, 11.07.2022. - 15.07.2022

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
micropolar fluid ; real fluid ; reactive gas ; numerical solution

Sažetak
In this work, we consider the unsteady one- dimensional flow of a viscous micropolar and heatconducting real gas. In addition to the usual variables of the micropolar fluid model, a new variable describing the amount of unburned fuel and an equation describing the chemical reaction were added to this model. The mathematical model is derived in the Lagrangian description. For the corresponding initial boundary problem with homogeneous boundary conditions as well as with sufficiently smooth initial conditions, we introduce a system of approximate equations using the Faedo-Galerkin method and construct its solutions. We describe the results of numerical tests on a number of examples, presenting the computed solutions, and test convergence and stabilization.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA