Analytical modeling of thermal processes in heat-radiating bodies using S-functions

1Slesarenko, AP
2Demyanchenko, OP
2Safonov, MO
1A. N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine, Kharkiv
2Azov Maritime Institute of Odesa National Maritime Academy, Mariupol
Dopov. Nac. akad. nauk Ukr. 2015, 5:71-76
Section: Heat Physics
Language: Russian

We propose a method of counter functional solutions of the nonlinear boundary-value problems for heat radiating bodies, which allows us to first obtain the approximate analytical solutions with two-way convergence to the exact solution of the problem. The in-built analytic structure of the solution exactly met the main boundary conditions. It is proposed to obtain the accurate information about parts of the body surface in the complex analytic structures of the solution, by using S-functions.

Keywords: analytical modeling, boundary-value problems, heat processes, problem solving structure, reciprocal functions, S-functions
  1. Matsevityi Yu.M., Slesarenko A. P. Ill-posed multiparametric problems of heat transfer and regional-structural regulation for their solution, Kyiv: Naukova Dumka, 2014 (in Russian).
  2. Slesarenko A. P. East-Europ. J. of Enterprise Technology, 2012, No 1/4 (55): 4–10 (in Russian).
  3. Slesarenko A. P. Machine-Building Problems, 2002, 5, No 4: 72–80 (in Russian).
  4. Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L. Methods of spline-functions, Moscow: Nauka, 1980 (in Russian).