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Two- and Three-Dimensional Flow Optimization in Chemical Engineering

  • Günter Bärwolff
Conference paper

6 Conclusion

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).

Keywords

Boundary Control Zone Melting Velocity Boundary Condition Space Time Cylinder Zone Melting Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bärwolff, G., König, F. and G. Seifert: Thermal buoyancy convection in vertical zone melting configurations, ZAMM 77 (1997) 10zbMATHGoogle Scholar
  2. 2.
    Hinze, M.: Optimal and instantaneous control of the instationary Navier-Stokes equations, habilitation thesis, Berlin, August 2000 (available on the webpage http://www.math.tu-dresden.de/~hinze)Google Scholar
  3. 3.
    Hinze, M.: Optimization of the Navier-Stokes equation, Adjoints workshop, Decin/Czech Republic, September 2001Google Scholar
  4. 4.
    Constantin, P. and C. Foias: Navier-Stokes Equations, The University of Chicago Press, 1988Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Günter Bärwolff
    • 1
  1. 1.Institut of MathematicsTU BerlinBerlinGermany

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