A new solution for nucleation model of gas-solid reaction

Chemical reactions for gas-solid are complicated. Two partial differential equations showing mass balance of gas and solid, must solved simultaneously. When nucleation is added to reaction the problems gets more complicated. There are not any analytical or numerical solutions for unsteady state case of this model. In this work Quantized mathematical method is used to solve unsteady state case, and results are compared with numerical solutions for Quasi-steady state. Results are in good agreement in low . n (rate of nucleation). When n is (n=3) maximum error are 24% as expected due to difference between unsteady state and Quasi steady state.