https://doi.org/10.1051/epjconf/201610802010
Algorithm for Solving an Optimization Problem for the Temperature Distribution on a Plate
1 Joint Institute for Nuclear Research, Joliot-Curie 6, 141980, Dubna, Moscow Region, Russia
2 Yerevan State University, Alek Manyukyan 1, 0025, Yerevan, Republic of Armenia
3 Institute of Mathematics and Informatics of BAS, Acad. Georgi Bonchev 8, 1113, Sofia, Bulgaria
4 GSI Helmholtzzentrum für Schwerionenforschung, , Planckstraße 1, 64291, Darmstadt, Germany
a e-mail: ayriyan@jinr.ru
Published online: 9 February 2016
The work describes the maximization problem regarding the heating of an area on the surface of a thin plate within a given temperature range. The solution of the problem is applied to ion injectors. The given temperature range corresponds to the required pressure of a saturated gas comprising evaporated atoms of the plate material. In order to find the solution, a one-parameter optimization problem was formulated and implemented leading to the optimization of the plate specific geometry. It was shown that a heated area can be increased up to 23.5% in comparison with a regular rectangle form of a given plate configuration.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
