Fluidized-bed autothermal structures Mathematical modeling of catalytic fluidized-bed reactors Aim and scope of the work Mathematical models of a fluidized-bed catalytic reactor Preliminary remarks and main assumptions of the models Hydrodynamics of a fluidized bed Interphase mass and heat transfer Mathematical model of a catalytic fluidized-bed reactor with emulsion pseudohomogeneity Models of a catalytic fluidized-bed reactor with emulsion heterogeneity Remarks on the models Heterogeneous emulsion model with distributed-parameter model of a catalyst pellet Lumped-parameter models of a catalyst pellet Criteria for internal and external diffusion Mathematical models of fluidized-bed autothermal structures Autothermal structure with partial recirculation of hot products Autothermal structure with external heat exchanger Steady-state model of an autothermal heat exchanger Dynamic model of an autothermal heat exchanger Autothermal structure with circulation of catalyst pellets Numerical methods for solving models of autothermal structures Determination of steady states Determination of branching points Approximation methods for dynamic simulations Method of lines Galerkin method with an empirical orthogonal basis Comparison of the pseudohomogeneous emulsion model with the heterogeneous emulsion models Comparison of steady-state characteristics Influence of the type of mathematical model on the results of dynamic simulations Assessment of the approximation method accuracy Steady-state and dynamic analysis of fluidized-bed autothermal structures with single fluidized bed Fluidized-bed reactor without external thermal feedback Configurations with external autothermal feedback Influence of autothermal feedback onto steady-state and dynamic characteristics Start-up of autothermal fluidized-bed reactors Verification of the hypothesis about quasi-steady state operation of external autothermal heat exchanger Steady-state and dynamic analysis of fluidized-bed autothermal structures with circulation of catalyst pellets Steady-state and dynamic characteristics Influence of external disturbances on the dynamics of autothermal structure Case study: oxidation of naphthalene to phthalic anhydride Reaction kinetics and process conditions