Engineering Physics Annotation << Back Heat Exchange of an Elliptical Tube for the Case of Radiant Heat flow from the Outside and for Convective Heat Exchange from the Inside Kanareykin A.I. The article is devoted to the issues of heat transfer inside an elliptical pipe. The paper considers the distribution of the temperature fi eld of an elliptical-shaped pipe for the case of a radiant heat fl ow from one external side and with convective heat exchange from the inside. At the same time, the problem under consideration is stationary. To solve it, the paper considers the solution of the Laplace equation. The main methods are differentiation and integration, as well as the Fourier method. The resulting expression of the temperature fi eld 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 fi eld varies according to the sine law. Special cases were also considered in the work. The result obtained can be used in engineering calculations when designing heat exchangers. Keywords: temperature field, stationary thermal conductivity, boundary conditions, Laplace equation, radiation, convective heat transfer, radiant heat flux, series, Fourier method. DOI: 10.25791/infi zik.1.2025.1456 Pp. 58-64.