Existence and asymptotics of travelling waves in the thermo-diffusive model for flame propagation in semi-infinite cylinders
نویسنده
چکیده
The aim of this work is to prove existence results and derive asymptotic limits for some nonlinear elliptic problems set in unbounded cylinders arising in flame propagation. We concentrate on problems arising in the modelization of burner flames. One of these models deals with oblique derivative boundary conditions on a strip in R2. A second one is a problem set in R with Neumann boundary conditions. The existence proof is a combination of topological degree arguments and estimates that are specific to the problems under consideration. We also derive some asymptotic limits for our models.
منابع مشابه
Dynamic Coupled Thermo-Viscoelasticity of a Spherical Hollow Domain
The generalized coupled thermo-viscoelasticity of hollow sphere subjected to thermal symmetric shock load is presented in this paper. To overcome the infinite speed of thermal wave propagation, the Lord-Shulman theory is considered. Two coupled equations, namely, the radial equation of motion and the energy equation of a hollow sphere are obtained in dimensionless form. Resulting equations are ...
متن کاملRigidity and Irregularity Effect on Surface Wave Propagation in a Fluid Saturated Porous Layer
The propagation of surface waves in a fluid- saturated porous isotropic layer over a semi-infinite homogeneous elastic medium with an irregularity for free and rigid interfaces have been studied. The rectangular irregularity has been taken in the half-space. The dispersion equation for Love waves is derived by simple mathematical techniques followed by Fourier transformations. It can be seen t...
متن کاملThree–Dimensional Fully Adaptive Solution of Thermo–Diffusive Flame Propagation Problems
In this paper we present a self–adaptive finite element method to solve flame propagation problems in 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. The proposed method is applied to an unsteady thermo–diffusive combustion model to demonstrate its potential for the solution of complicated problems.
متن کاملHeat Recirculation Effect on the Structure of Wood Dust Flame Propagation
A model for heat-recirculating micro combustor is developed. It investigates the structure of laminar, one-dimensional and steady state flame propagation in uniformly premixed wood particles with considering the effects of heat recirculation caused by configuration of micro combustor. The flame structure is divided into three regions: a preheat-devolatilization zone where the rate of the gas-ph...
متن کاملThe effect of heat loss on flame edges in a non-premixed counterflow within a thermo-diffusive model
We present an asymptotic study of the effect of volumetric heat loss on the propagation of triple flames in a counterflow configuration at constant density. Analytical results for the speed, the local burning rate, the shape and the extent of the flame front are derived in the asymptotic limits of weak strain rates and large activation energies and for Lewis numbers that are near unity. The res...
متن کامل