Numerical Simulation of Propellant Diffusion Considering Chemical Reaction

Adaptive Numerical Simulation of Reaction - Diffusion Systems

The aim of this work is to find efficient and reliable numerical solutions of two complex problems under consideration. In the first application problem, an improved continuum model has been derived to describe the temperature and concentration distributions in gas-solid-fluidized beds with spray injection. The model equations for the nozzle spray are also reformulated to achieve reliable numer...

Numerical Simulation of Fractional Riesz Space Nonlinear Reaction-Diffusion Models

Fractional differential equations have attracted considerable interest because of their ability to model anomalous transport phenomena. Fractional nonlinear reaction-diffusion models have found numerous applications in patten formation in biology, chemistry, physics and Engineering. Obtaining analytical solutions of fractional nonlinear reaction-diffusion models is difficult, generally numerica...

NUMERICAL MODELING OF CHARRING MATERIAL ABLATION WITH CONSIDERING CHEMICAL REACTION, MASS TRANSFER AND SURFACE HEAT TRANSFER EFFECTS

Presently there is a little information that relates to heat shield systems.  Also this information is not certain in so many cases.  The main reason is that accurate calculations for measuring the sacrificing rate of various materials have not been obtained yet.  Additionally, the real scale test has two disadvantages: high cost and low flexibility, and for each case we must perform a new test...

Numerical Solution of Advection-Diffusion-Reaction Equations

Dynamics of a Reaction-diffusion System of Autocatalytic Chemical Reaction

The precise dynamics of a reaction-diffusion model of autocatalytic chemical reaction is described. It is shown that exactly either one, two, or three steady states exists, and the solution of dynamical problem always approaches to one of steady states in the long run. Moreover it is shown that a global codimension one manifold separates the basins of attraction of the two stable steady states....