a New Approximate Solution Technique (Quantized Method) for Simultaneous Gas Solid Reactions

Simultaneous reactions between solids and gases are very important in the chemical and metallurgical processes. In the modeling, the chemical reaction and diffusion of gases must be considered. Therefore, a set of coupled partial differential equations is found. When the kinetic is a function of solid concentration, there is not any analytical solution for these equations. Therefore, numerical or approximate solutions have been used. In this paper a new approximate method has been developed for solution of two gases-one solid reaction equations. This technique offers some new mathematical expressions for rapid calculations. The results of this method are compared with the existing solutions. The quantized solution shows a better accuracy than other approximate method.