The evolution equation for the radius of a premixed flame ball in fractional diffusive media |
| |
Authors: | G Pagnini |
| |
Institution: | 1.CRS4,Pula,Italy |
| |
Abstract: | The evolution equation for the radius of an isolated premixed flame ball is derived in the framework of a new method that
strongly simplifies previous ones and highlights that they are based on Gaussian modelling of diffusion. The main idea is
to split the flame ball in two components: the inner kernel, which is driven by a Poisson-type equation with a general polynomial
forcing term, and the outer part, which is driven by a generalized diffusion process valid for fractional diffusive media.
The evolution equation for the radius of the flame ball is finally determined as the evolution equation for the interface
that matches the solution of the inner spherical kernel and the solution of the outer diffusive part and it emerges to be
a nonlinear fractional differential equation. The effects of fractional diffusion on stability of solution are also picked
out. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|