Asymptotic and Discrete Concepts for Optimal Control in Radiative Transfer
نویسندگان
چکیده
Optimal control problems for radiative transfer and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN approximations are for the first time derived exactly, which can be used to study optimal control on reduced order models. Combining asymptotic analysis and the adjoint calculus yields diffusive-type approximations for the adjoint radiative transport equation in the spirit of the approach first optimize, then discretize.
منابع مشابه
Heat 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 کاملANALYSIS OF COMBINED CONDUCTION AND RADIATION HEAT TRANSFER IN A RECTANGULAR FURNACE INCLUDING TWO FLAMES
Abstract: The present study deals the theoretical modeling aspects of coupled conductive and radiative heat transfer in the presence of absorbing, emitting and scattering gray medium within two-dimensional square furnace including two flames. The gray radiative medium is bounded by isothermal walls which are considered to be opaque, diffuse and gray. The well known discrete ordinate method (DOM...
متن کاملMixed convection fluid flow and heat transfer and optimal distribution of discrete heat sources location in a cavity filled with nanofluid
Mixed convection fluid flow and heat transfer of water-Al2O3 nanofluid inside a lid-driven square cavity has been examined numerically in order to find the optimal distribution of discrete heat sources on the wall of a cavity. The effects of different heat source length, Richardson number and Grashof number on optimal heat source location has been investigated. Moreover, the average Nusselt num...
متن کاملThree Dimensional Laminar Convection Flow of Radiating Gas over a Backward Facing Step in a Duct
In this study, three-dimensional simulations are presented for laminar forced convection flow of a radiating gas over a backward-facing step in rectangular duct. The fluid is treated as a gray, absorbing, emitting and scattering medium. The three-dimensional Cartesian coordinate system is used to solve the governing equations which are conservations of mass, momentum and energy. These equations...
متن کاملRadiative 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006