Research And Application On Engineering Based On Modern Algorithms

This paper summarized our researches on problems of Chemical Engineering, biophysics and aesthetic surfaces modelling by using genetic algorithms, nueral network and transfinite interpolation. The history and respective characters of genetic algorithms, neural network, fitting and interpolation of B-spline curve and transfinite interpolation were briefly reviewed.The studies of the catalysis rate of CO oxidation using supported noble metal catalysts are very important in chemical engineering. To obtain a good approximation for least square fitting of B-spline curve to the rate data of CO oxidation, parameters and knots have to be dealt with as variables frequently. There are two kinds of considerations. The first is to choose parameters with witch the fitting are better while the knots of the B-spline bases are in a fix. The choices of parameters include uniform parameterization, cumulative chord length parameterization, centripetal model parameterization and Gauss-Newton approach. The other is to determine parameters in advance (generally cumulative chord length parameterization) and then to compute the knots of B-spline bases by some algorithms such that the fitting become more precise. In this paper both the parameters and the knots of the B-spline bases are considered simultaneously by using genetic algorithms such that the fitting B-spline curve to data attains its optimum in the total least squares sense. With this, the parameters and the knots can be appropriately determined simultaneously. The method given in this paper have advantages of robustness (the resulting curve is initial-value-free), better precision and fewer vertexes compared with Gauss-Newton approach and Piegl's algorithm. The experiments show that genetic algorithms-based least square fitting of B-spline to the rate data of CO oxidation are better in approximation. The catalysis process can be described precisely.To improve the purity of the carbon dioxide from the purifying column, it is necessary to build a model of the purity of carbon dioxide with seven factors of feed purity, feed temperature, column top pressure, column top temperature, column reactor heating temperature, column reactor pressure and column reactor temperature.