Heat Transfer under Laminar Flow of Liquid in a Round Pipe

The presented article is devoted to the study of the temperature field in a laminar fluid flow moving in a round pipe. In this case, it is assumed that the flow of the medium is stationary with a parabolic velocity profile and its thermal properties are constant. The paper studies an approximate analytical method for calculating the temperature distribution in a fluid flow. Relatively simple mathematical dependences are obtained for determining the first eigenfunction and the first characteristic root of the problem under consideration. The recommended expressions are highly accurate and make it possible to quickly investigate the heat transfer process in the area of the ordered regime of fluid flow in the channel, which, as a rule, is the main one.