Engineering Physics Annotation << Back Thermal Conductivity Through a Cylindrical wall of Elliptical Cross Section under a Boundary Condition of the First Kind without an Internal heat Source Kanareykin A.I. The article is devoted to the issues of thermal conductivity through a cylindrical wall. The paper considers the distribution of the temperature field of an elliptical-shaped pipe under a boundary condition of the first kind without an internal heat source. Heat transfer takes place in a stationary mode. Cylindrical pipes of elliptical cross-section are used in heat exchangers to improve heat transfer compared to round pipes. The main methods are differentiation and integration. The resulting expression of the temperature field of the pipe has the form of a series containing exponential and trigonometric functions. Based on the obtained dependence, it is established that the temperature field varies according to a logarithmic law. A special case was also considered, which leads to the problem of heat exchange in a channel with a circular cross-section. The result obtained can be used in engineering calculations in the design of heat exchangers. Keywords: elliptical cylinder, temperature field, stationary thermal conductivity, boundary condition of the first kind, Laplace equation, linear thermal resistance. DOI: 10.25791/infizik.9.2025.1505 Pp. 57-62.