Engineering Transactions, 13, 2, pp. 437-443, 1965

Pewien Przypadek Nieustalonego Rozkładu Temperatury w Długim Walcu

T. Różnowski
Instytutu Podstawowych Problemów Techniki

A half of the lateral surface of the cylinder is assumed to have been heated suddenly to a temperature varying according to the graph of the trapezoidal form along the lateral surface. At t > 0 the given temperature field starts moving with constant velocity v. The problem has been solved by means of integral transformations. The results are represented in the form of series of Bessel and error functions, the values of the integrals being taken from the tables. The temperature function is analysed in sections passing through the front of the moving temperature field and through the edge of the trapezoidal form.
Some particular cases are considered.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


T. RÓŻNOWSKI, Non steady state of temperature in a long circular cylinder with heat moving over

the lateral surface, Bull. Acad. Polon. Sci., Série. Sci. Techn., 5, 1964, 273.

T. RÓŻNOWSKI, Non steady state of temperature in a long cylinder with moving boundary condition, Bull. Acad. Polon. Sci., Série Sci. Techn., 13 (1965), 45.

H. S. CARSLAW and J.C. JAEGER, Conduction of heat in solids, Oxford at the Clarendon Press, Sec. edit. 1959.

[in Russian]

T. NAKADA and S. HASHIMOTO, Heat conduction in a semi-infinite solid heated by a moving heat source along the boundary, Bull. JSME, 12, 6 (1963), 59.

R. MUKI, K. AKIYAMA, Y. NAKANO and K. BANZAT, Thermal stresses in an infinite circular cylinder exposed to moving heat sources, Bull. JSME, 27, 7 (1964), 506.