AbstractsEngineering

Transient temperature distribution in a finite cylinder and an infinite cylinder subjected to some boundary conditions

by Harng-Sen Huang




Institution: Missouri University of Science and Technology
Department:
Year: 1965
Record ID: 1587579
Full text PDF: http://hdl.handle.net/10355/18671


Abstract

"This thesis is concerned with the theoretical heat transfer analysis of solid cylinders. The first problem considered is the transient temperature distribution in a finite cylinder. This cylinder has a uniform initial temperature and a uniform constant surrounding temperature. This case is solved by the separation of variables. combining the charts for the infinite cylinder and the charts for the infinite plate one can determine the solution to this case easily. If a uniform constant surface temperature is prescribed instead of a surrounding temperature, the solution can be obtained from the previous one by changing the Nusselt number to infinity. If the surface temperature changes with time, then it can be solved by the Duhamel's theorem. the infinite cylinder with uniform internal heat generation is also included in this thesis. This cylinder has a uniform initial temperature distribution and a uniform constant surface temperature. This case is solved by the Laplace transformation. If surface temperature varies with time, the Duhamel's theorem will again be applied" – Abstract, leaf 2.