Diffusion and reaction on spherical catalyst pellets: steady state- and local stability analysis

摘要: Abstract A stepwise integration process with collocation at the zeros of Legendre polynomials within each step is used to solve heat- and mass balances for reaction on spherical catalyst pellets. The algorithm succeeds give an accuracy 10 −7 concentration profile even in extremely ill-conditioned case 21 steady state profiles. vast multiplicity solutions discussed terms sign change z = d y /d 0 where center concentration. similarity property described usefulness this mapping dependence between parameters demonstrated. As a special boundary curves regions 2 m −1 +1 are constructed it shown that there exists critical value activation energy parameter γ below which number decreased by whatever heat generation β. Finally may exist given set β only stable. general criterion stability proposed.