Identification Of Heat Transfer Research Articles

ОБРАТНЫЕ ЗАДАЧИ ОБ ОПРЕДЕЛЕНИИ ГРАНИЧНЫХ ДАННЫХ С ИНТЕГРАЛЬНЫМИ УСЛОВИЯМИ ПЕРЕОПРЕДЕЛЕНИЯ

In the present article we examine an inverse problem of recovering unknown functions being part of the Dirichlet boundary condition together solving an initial boundary problem for a parabolic second order equation. Such problems on recovering the boundary data arise in various tasks of mathematical physics: control of heat exchange prosesses and design of thermal protection systems, diagnostics and identification of heat transfer in supersonic heterogeneous flows, identification and modeling of heat transfer in heat-shielding materials and coatings, modeling of properties and heat regimes of reusable heat protection of spacecrafts, study of composite materials, etc. As the overdetrermination conditions we take the integrals of a solution over the spatial domain with weights. The problem is reduced to an operator equation of the Volterra-type. The existence and uniqueness theorem for solutions to this inverse problem is established in Sobolev spaces. A solution is regular, i. e., all generalized derivatives occuring into the equation exists and are summable to some power. The proof relies on the fixed point theorem and bootstrap arguments. Stability estimates for solutions are also given. The solvability conditions are close to necessary conditions

Local convective heat transfer identification by infrared thermography from a disc mounted on a cylinder in air crossflow

In this study, the local convective heat transfer from a disc was evaluated using an infrared thermographic experimental set-up. Solving the inverse conduction heat transfer problem allows the local convective heat transfer coefficient to be identified. We used an inverse method, based on spatial regularisation, in order to take radial and azimuthal conduction into account. This model was tested by using a crossflow with a Reynolds number ranging from 11,350 to 39,600, corresponding to the turbulent flow domain. In this paper, the local convective heat transfer distribution on the disc surface allows to study the boundary layer development with upstream Reynolds number as well as the horseshoe vortex and its impact on heat transfer around and downstream of the cylinder.

Identification of heat transfer between the casting and the mold in ingotless rolling

A method is proposed for determining the heat flux inside a roll-mold on the basis of solution of the inverse heat-conduction problem by the gradient method.