TEMPERATURE DISTRIBUTION OF A MULTILAYER ORTHOTROPIC CYLINDER
The problem of heat conduction in a multi-layer, two-dimensional, orthotropic cylinder interrelated to asymmetric and periodic temperature distribution along the outer wall is solved analytically. Dimensional analysis of the problem shows that heat conduction through the cylinder is a function of the Biot number (Bi) and the following four non-dimensional parameters in each layer: frequency ratio, thickness ratio as well as radial and tangential conduction ratios. The decision is valid for an arbitrary number of layers and has been used to study the effect of layer order on inter-layer and overall heat transfer. As an example, a cylinder composed of two layers is considered. On the basis of the conducted researches by authors a series of works on temperature conditions in isolation of pipelines of various appointments and different types of laying is published.