A Parametric Study of Optimal Number and Location of Radiant Heaters in Enclosures with Participating Media

Abstract

An inverse solution technique is applied to the design of radiant enclosures when design variables are discrete and radiation is the dominant mode of heat transfer. The enclosure contains an absorbing, emitting and linear anisotropic scattering medium in radiative equilibrium. The discrete ordinate method is employed to solve the radiative transfer equation. The goal of the design problem is to nd the best number and location of discrete equally powered heaters which produce the desired (speci ed) temperature and heat ux pro le over the design surface of enclosures. The inverse problem is formulated as an optimization problem and is solved using a micro-genetic algorithm. Results show that the micro genetic algorithm is able to nd the optimal solution by just searching a few percent of feasible solutions. The ability of this methodology is demonstrated by nding the optimal number and location of heaters in an irregular enclosure. Then, the e ect of some thermophysical properties, such as extinction coe cient, scattering albedo, scattering phase function, and design surface emissivity, on the optimal solution is considered.

Optimization of number and locations of discrete heaters in a two-dimensional radiant heating furnace using artificial neural networks

“…The detailed discussion of the discretization procedure is provided in reference [Chai et al 1994]. The final equation in terms of the discretization coefficients of the faces and control angles is written as (2) In above equation, the coefficients are given by (3) and, (4) (5) where the right hand side term represents the emission from the control volume. l g,j is the weight pertaining to the band emission of the gas corresponding to its temperature.…”

“…Among others, Daun et al [2003] used Wolfowitz optimization algorithm to obtain optimum design of specular enclosures with dominant radiation heat transfer. With regard to the problem of optimizing number of heaters and their respective locations in a radiant furnace, Amiri et al [2011] used the Discrete Ordinates based solver with micro-genetic algorithm to solve a similar problem, which was extended to a participating medium by the same authors [Amiri and Coelho 2016]. Specifically, the main focus of the researchers has been to use the up to date and efficient optimization algorithm to solve these problems.…”

Improved semi-active control algorithm for hydraulic damper-based braced buildings

“…[2] There is, however, very limited and small inherent damping of conventional building materials and structural components to allow dissipating such considerable dynamic energy. [3] As a result, the buildings usually have to behave with substantial damage and possibly permanent deformation. Currently, major earthquakes, such as Sichuan earthquake in China (2008), Christchurch earthquake in New Zealand (2011), Chile earthquake (2010), and Great Sendai earthquake in Japan (2011) confirm this big concern of modern seismic design concept for resilience of buildings and bridges.…”