The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts: The theory of the steady state |
Contents
EXISTENCE AND UNIQUENESS OF THE STEADY | 1 |
THE GENERAL EQUATIONS OF DIFFUSION | 50 |
THE SINGLE REACTION IN AN ISOTHERMAL PELLET | 101 |
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A₁ A₂ adsorbed adsorption approximation Aris asymptotic Biot numbers boundary conditions c₁ calculated Carberry Catal catalyst catalyst particle Chem chemical concentration cosh curve cylinder cylindrical pore defined by eqn diffusion and reaction diffusion coefficient diffusion limitation dimensionless Dirichlet problem effective diffusion effectiveness factor endothermic reactions Engng Sci equations external first-order reaction flux fraction function gives gradient heat and mass heat transfer heterogeneous catalysis Hlaváček integral isothermal kinetics Knudsen diffusion linear Luss mass transfer matrix membrane non-isothermal normalized obtained order reaction oxidation parameter pellet porous catalyst radius ratio reactant reaction rate reactor Robin boundary conditions Robin problem satisfies Section shown in Fig sinh slab solution of eqn solved species sphere steady surface diffusion tanh temperature Thiele modulus u₁ u₂ v₁ V˛u values zero ΘΩ ди