Regional -structural modeling and identification of the high speed oscillating heat processes

Authors

  • А. П. Слесаренко A. N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine, Ukraine
  • Ю. О. Кобринович A.N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine, Ukraine

Abstract

In this paper we propose a regionally-structured method for identifying nonuniform temperatures of a construct surrounding an environment under high speed thermal processes with oscillating heat exchange. It is built regional- analytical structure of the solution of tasks accurately satisfy high-speed oscillating heat transfer to the border areas of the complex doubly connected domain at any given time depending on the ambient temperature and relative heat transfer coefficients. Regionally-analytical structures of problem solving were built, these structures accurately satisfy high-speed oscillating heat transfer on boundary areas of the complex doubly connected areas at any given time-depended environment temperature and any relative heattransfer coefficients. The structures of these solutions allow for displays of simulated results and regionally-analytical prediction of high-speed oscillating thermal processes on agreed displays in real-time. The use of S-functions in the structures of solutions for the inclusion of information about the area geometry for the first time makes it possible to construct continuously differentiable basis functions in the approximate regional-analytical problems of high heat transfer.

Author Biography

А. П. Слесаренко, A. N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine

Doctor of Physical and mathematical sciences, professor

References

Slesarenko, A. & Kobrinovich, J. (2011). Structurally-difference approach to the mathematical modeling of thermal processes with high-speed unsteady heat transfer on the surface of structural elements. Problemyi mashinostroeniya, Vol.14№13, 66-75.

Kobrinovich, J. (2012) Construction of structural-difference models of high-speed temperature processes with oscillating heat-exchange. Visnik Kharkovskogo nacionalnogo universiteta, ser. Novi rishennja v suchasnih technologijah. №68(974), 205-209.

Slesarenko, A. & Kobrinovich, J. (2012). Structural difference models, that exact account for the time-depending oscillating nonstationary heat exchange on the surface of structural elements. Reports of the NAS of Ukraine, №1, 82-88

Slesarenko, A. & Kobrinovich, J. (2011). Structural-differences models of the heat processes in complex form regions with high-speed heat exchange on boundaries. Mathematical modeling and mathematical physics: Abstr. of the Conf. dedicated to 210-anniversary from birthday M. Ostrogradskogo, Kremenchug, 2011, pp. 51-52.

Slesarenko, A. & Kobrinovich, J. (2013). Visual studies of the simulation of high thermal processes on the agreed displays. Visnik Kharkovskogo nacionalnogo universiteta, ser. Novi rishennja v suchasnih technologijah. №16(989), 193-201.

Slesarenko, А. (2012). S-function in inverse problems of differential geometry and management formation of forms. Eastern-European Journal Of Enterprise Technologies, 1(4(55)), 4-10. Retrieved from http://journals.uran.ua/eejet/article/view/3310

Marchuk G. (1977). Methods of the computational mathematics. Moscow: Nauka.

Published

2013-08-29

Issue

Section

Applied mathematics