Abstract
An analytical method is developed for the solution of internal problems of nonsteady heat transfer for the laminar flow of a fluid through tubes exhibiting various perpendicular cross sections. The method is based on the combined application of integral transformations and variational calculus. Transient processes are studied for the nonsteady heat transfer in circular tubes and in plane-parallel channels, when the temperature at the inlet varies according to a specified law.
Similar content being viewed by others
References
S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Gostekhizdat, 1957.
V. A. Ditkin and A. P. Prudnikov, The Operational Calculus in Two Variables and its Application [in Russian], Fizmatgiz, 1958.
P. V. Tsoi, Teploenergetika, no. 8, 1967.
R. Siegel, Trans. ASME, APMW-21, 1, 1959.
H. Schlichting, Zs. angew. Math. Mech., 31, 78, 1951.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tsoi, P.V. The solution of problems dealing with convective heat transfer in tubes by the bubnov-galerkin method. Journal of Engineering Physics 14, 278–284 (1968). https://doi.org/10.1007/BF00825735
Issue Date:
DOI: https://doi.org/10.1007/BF00825735