Abstract
A numerical successive approximations method is developed for the analysis of exothermal gas—liquid chemical processes in a bubble column. The mathematical model investigated is a system of first- and second-order ordinary nonlinear differential equations with the linear two-point boundary conditions. The contraction mapping theorem is proved which defines the starting (zero) approximation and the convergence conditions for the successive approximations procedure. The computational program which corresponds to the proposed method as well as a suitable finite-difference program are used for the simulation of an industrial styrene oxidation process. On the basis of the numerical investigations realized the main advantages and disadvantages of the developed successive approximations method are determined.
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