Two- and Three-Dimensional Flow Optimization in Chemical Engineering
With the Lagrange parameter technique it’s possible to derive an optimization system for a given functional, which solution gives an optimal control. The numerical examples of the complete time-depend 2.5d optimization system show the possibility of the practical optimization of a thermal coupled flow problem in the crystal growth field. The results show the possibility of boundary control especially in the case of the zone melting technique. Based on the results the proposed strategies it is now possible to do a fully 3d optimization. It is necessary to continue numerical experiments to investigate if the optimization during a boundary control only will be successful technology. There are some experiences with other optimization problems which show the efficiency of volume control, if there is a possibility of the production of volume forces (for example by a magnetic field).
KeywordsBoundary Control Zone Melting Velocity Boundary Condition Space Time Cylinder Zone Melting Method
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