Abstract
We develop a method of integral transforms for the solution of the heat-conduction equation in a region with moving boundaries. The method leads to analytical solutions of thermal problems of both classical and Stefan type in new functional forms.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
É. M. Kartashov, Izv. Akad. Nauk SSSR, Energ. Transport, No. 5, 85–105 (1976).
É. M. Kartashov and V. P. Belousov, Izv. Akad. Nauk SSSR, Energ. Transport, No. 5, 112–121 (1983).
É. M. Kartashov, Analytical Methods in Heat Conduction in Solids [in Russian], Moscow (1979).
A. V. Lykov, Heat and Mass Transfer (Handbook) [in Russian], Moscow (1978).
É. M. Kartashov and B. Ya. Lyubov, Izv. Akad. Nauk SSSR, Energ. Transport, No. 6, 83–111 (1974).
O. M. Chekmareva, Zh. Tekh. Fiz.,46, No. 6, 1115–1122 (1971).
A. M. Tsibin, Zh. Tekh. Fiz.,64, No. 6, 2441–2444 (1974).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1966).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 52, No. 3, pp. 495–505, March, 1987.
Rights and permissions
About this article
Cite this article
Kartashov, É.M. Generalized integral transform method for the solution of the heat-conduction equation in a region with moving boundaries. Journal of Engineering Physics 52, 369–377 (1987). https://doi.org/10.1007/BF00872525
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00872525