Mathematical modelling of the carbon nanotubes synthesis by methane pyrolysis on a copper catalyst based on the approximation approach

We present the mathematical model concepts for synthesis of carbon nanotubes by catalytic pyrolysis methane, based on analysis and approximation dependence process stages gas phase composition temperature. The was considered to consist three successive that include linear stage initial growth with a constant specific rate, retardation due catalyst active site deactivation, close linear, occurring after equilibrium accompanying sorption-desorption processes sites is reached. Based available experimental studies catalyst, step-by-step search patterns describing selected phases typical curve performed. have determined confirmed criteria proposed equations parameters composition. article also discusses advantages approach modeling complex in comparison traditional physicochemical approaches.