title: The inverse geometric problem of thermal conductivity for determining the thickness of scale in steam boiler pipes
abstract: The paper considers a nonstationary nonlinear problem of thermal conductivity in a steam boiler pipe, on the inner surface of which there is calcined scale. In the inverse geometric problem, the thickness of this scale is determined by the temperature change at the outer surface of the tube. Three cases of movement of water and steam in a tube are considered: only water, water and steam, and only steam. The problem is solved on the cross section of the structural element, the movement of water a
journal: Contemporary Mathematics Fundamental Directions