The solution of three-dimensional unsteady heat conduction problem in the variational formulation

Authors

  • В. И. Заяц Запорожская государственная инженерная академия пр. Ленина, 226, г. Запорожье, Украина, 69006, Ukraine
  • О. С. Новикова Запорожская государственная инженерная академия пр. Ленина, 226, г. Запорожье, Украина, 69006, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2011.2428

Keywords:

Вasis functions, ultraspherical polynomials, the problem of heat conduction, boundary conditions, the system of linear algebraic equations

Abstract

An approach to solving three-dimensional unsteady heat conduction problem in the variational formulation, based on the method of separation of variables and the representation of the coordinate functions in the form of segments of the series in ultraspherical polynomials

Author Biographies

В. И. Заяц, Запорожская государственная инженерная академия пр. Ленина, 226, г. Запорожье, Украина, 69006

Кандидат технических наук, доцент

Кафедра программного обеспечения автоматизированных систем

О. С. Новикова, Запорожская государственная инженерная академия пр. Ленина, 226, г. Запорожье, Украина, 69006

Ассистент

Кафедра программного обеспечения автоматизированных систем

References

  1. Беляев, Н.М. Методы теории теплопроводности. Ч. 1. / Н.М. Беляев, А.А. Рядно —М.: Высш. школа, 1982. — 327с.
  2. Коваленко, А. Д. Термоупругость / А. Д. Коваленко. — К.: Издательское объединение «Вища школа», 1975. — 216 с.
  3. Колмогоров, В.Л. Метод расчета напряженно-деформированного состояния в общей краевой задаче развитого течения. / В.Л. Колмогоров. — Вестник ПГТУ. Механика. — 1995.—№2. — С.87- 98.
  4. Колмогоров, В.Л. Решение нестационарных температурных и термомеханических задач методом разделения переменных в вариационной постановке/ В.Л. Колмогоров, В.П. Федотов, Л.Ф.Спевак [и др.]. — Вестник Сам. гос. техн. ун-та. Сер. Физ.-мат. Науки — 2006. — №42 —С. 72–75.
  5. Сеге Г. Ортогональные многочлены./ Г Сеге. — Гос. издательство физ.-мат. лит., 1962. — 500 с.
  6. Исаченко, В.П. Теплопередача /. В. П. Исаченко, В. А. Осипова, Сукомел А.С. — М.: Энергия, 1975. — 488с.

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How to Cite

Заяц, В. И., & Новикова, О. С. (2012). The solution of three-dimensional unsteady heat conduction problem in the variational formulation. Eastern-European Journal of Enterprise Technologies, 1(8(49), 31–35. https://doi.org/10.15587/1729-4061.2011.2428

Issue

Vol. 1 No. 8(49) (2011): The applied physics and materials technology

Section

Applied physics

License

Copyright (c) 2014 В. И. Заяц, О. С. Новикова

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