|
|
|
ANALYTICAL APPROXIMATE METHOD OF CALCULATION OF NON-STATIONARY HEAT TRANSFER THROUGH A CYLINDRICAL WALL
Vidin Yu.V., Ivanov D.I.
Siberian Federal University, Krasnoyarsk, Russia
|
Citation:
Vidin, Yu.V. and Ivanov, D.I., (2012) Analytical approximate method of calculation of non-stationary heat transfer through a cylindrical wall, Modern Science: Researches, Ideas, Results, Technologies, Iss. #2(10), PP. 260 - 263.
|
|
Keywords:heat transfer; non-stationary process; cylindrical wall; temperature field; analytical method |
|
Abstracts:
Using the analytical dependences of the developed analytical approximate method of calculation of non-stationary heat transfer through the cylindrical wall of varying thickness with boundary conditions of third kind. It is shown that the high accuracy of calculation can be achieved using the available mathematical transformations of elementary trigonometric functions, i.e., without resorting to complex special Bessel functions. At that, in the characteristic equation is reduced significantly the number of parameters. Also proposed approximate analytical method of calculating the eigenvalues of the problem on nonstationary nonsymmetric temperature field, which allows you to make payments, using a known mathematical dependence. |
|
References:
Lykov, A.V., (1967) Theory of the thermal conductivity [Teoriya teploprovodnosti], Moscow: Vysshaya shkola, 599 pp. Михайлов М.Д. Нестационарные температурные поля в оболочках. - М.: Энергия, 1967. - 120 С. Видин Ю.В., Бойков Г.П., Колосов В.В., Ромащенко А.С. Краткий справочник по тепломассообмену. - Красноярск: Сиб. федер. ун-т; Политехн. ин-т, 2007. - 169 С. Бронштейн И.Н., Семендяев К.А. Справочник по математике для инженеров и учащихся втузов - М.: Наука, 1965. - 608 С. Сегал Б.И., Семендяев К.А.. Пятизначные математические таблицы. - М.: Гос. изд-во физико-математической литературы, 1962. 464 С. Зарубин В.С. Температурные поля в конструкции летательных аппаратов. - М.: Машиностроение, 1978. - 184 С.
|
|
|
