This article is cited in 3 papers

MECHANICS

Method of local potential for the prediction of stationary flame spread rate

A. I. Karpov^ab, A. V. Kudrin<sup>a

a</sup> Udmurt State University, Izhevsk, Russia
^b Institute of Applied Mechanics, Ural Branch of RAS, Izhevsk, Russia

Abstract: The problem of the prediction of steady flame spread rate has been studied. Finite element method has been applied to the boundary value problem involving two approaches for deriving the system of algebraic equations: weighted residuals method for differential conservation equation and variational formulation in the form local thermodynamic potential. The detailed numerical algorithm and results of solution's stability and convergence study have been presented.

Keywords: flame spread, stationary state, variational principle, local potential.

UDC: 536.46+517.972.5

MSC: 49S05, 49M20, 76M30

Received: 30.09.2010

DOI: 10.20537/vm100410