Method of Parametric Optimization in Problems of Identification of Boundary Conditions of Convective Heat Transfer in Processes of Non-Stationary Heat Conduction

A problem of recovering space-variable heat transfer coefficient of the heat transfer process between non-stationary heat flux and the tube surface is discussed. The problem is reduced to an identification of local (invariable in space) heat transfer coefficients on the pipeline inner surface by measuring temperature on the external tube area. Determination of local heat transfer parameters values is realized by solving an inverse heat conduction problem based on methodology of the optimal control of an object with distributed parameters. Parameterization of the sought characteristics regarded as the control action leads to the parameter optimization problem, which solution is based on the special method that takes into consideration the alternance features of the sought optimal decisions. Minimization of the temperature discrepancy error in the uniform metric of estimation is implemented on the basis of the parameterization of the identifiable characteristic considered as a control action. It leads to the problem of parametric optimization, which solution is based on the special method that takes into consideration the alternance features of the sought optimal decisions and allows to restore the local heat transfer parameters.