A second-order approximate solution of the reaction–diffusion process in spherical porous catalyst

The model for coupled diffusion and nth-order reaction in spherical catalyst pellet was solved using second-order polynomial model. The approximate solution is also validated by comparing the results with data from exact solution. Approximate solution was in good agreement for describing the reactant concentration distribution inside the particles for lower Φ. The results have indicated that the methodproposed here could be of value for a quick estimation of reactant distribution and effectiveness factor of some systems with lower Φ such as oxygen transport into natural mycelial pellets in submerged cultures.

کلیدواژه ها:

Second-order approximate solution ، Diffusion–reaction ، Modeling ، Effectiveness factor