engleski

One-dimensional model and numerical solution to the viscous and heat-conducting reactive micropolar real gas flow and thermal explosion

In this paper, we derive an initial-boundary value problem for a model describing the behavior of a micropolar reactive real gas in a tube with fixed and thermally insulated walls. 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 have been added in this model. A series of Faedo-Galerkin approximations for the solution of the governing system is constructed and used to solve the problem numerically. We describe the results of numerical tests on a couple of examples whereby we display the calculated solutions and test the convergence and stabilization. In order to investigate the influence of micropolarity and the generalized equation of state on the model, we compared the solutions of the reactive classical and micropolar real gas model, as well as the reactive micropolar ideal and real gas model.

micropolar real gas ; reactive fluid ; generalized equation of state ; numerical solution

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