Optimal Control for Radiative Heat Transfer Model with Monotonic Cost Functionals
نویسندگان
چکیده
A boundary optimal control problem for a nonlinear nonstationary heat transfer model is considered. The model describes coupled conduction and radiation within the P1 approximation. The control parameter is related to the emissivity of the boundary and varies with time. The optimal control problem is to minimize or maximize a cost functional which is assumed to be monotonic. Sufficient conditions of optimality are derived and the convergence of a simple iterative method is shown.
منابع مشابه
Radiative heat transfer: many-body effects
Heat transfer by electromagnetic radiation is one of the common methods of energy transfer between objects. Using the fluctuation-dissipation theorem, we have studied the effect of particle arrangement in the transmission of radiative heat in many-body systems. In order to show the effect of the structure morphology on the collective properties, the radiative heat transfer is studied and the re...
متن کاملOptimization Iterative Procedure for Radiative-Conductive Heat Transfer Model
A boundary optimal control problem for radiative-conductive heat transfer model in a layered medium is considered. The problem consists in minimization of a given cost functional by controlling the boundary temperature. The solvability of this control problem is proved, and optimality conditions are derived. An iteration algorithm is proposed, and numerical experiments are performed.
متن کاملEffect of Thermal Conductivity and Emissivity of Solid Walls on Time-Dependent Turbulent Conjugate Convective-Radiative Heat Transfer
In the present study, the conjugate turbulent free convection with the thermal surface radiation in a rectangular enclosure bounded by walls with different thermophysical characteristics in the presence of a local heater is numerically studied. The effects of surface emissivity and wall materials on the air flow and the heat transfer characteristics are the main focus of the present investigati...
متن کاملStability of Optimal Controls for the Stationary Boussinesq Equations
The stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for temperature are considered. The optimal control problems for these equations with tracking-type functionals are formulated. A local stability of the concrete control problem solutions with respect t...
متن کاملHeat Transfer Characteristics of Porous Radiant Burners Using Discrete-Ordinate Method (S2-Approximation)
This paper describes a theoretical study to investigate the heat transfer characteristics of porous radiant burners. A one dimensional model is used to solve the governing equations for porous medium and gas flow before the premixed flame to the exhaust gas. Combustion in the porous medium is modeled as a spatially dependent heat generation zone. The homogeneous porous media, in addition to its...
متن کامل