Radiative heat transfer modelling in a concentrated solar energy bubbling fluidized bed receiver using the Monte Carlo Method

Abstract

According to recent studies in the solar energy community, a promising ways of solar energy conversion seems to be the beam down concentration technology associated to a fluidized bed receiver. The advantage of this system is its ability to heat air at temperature reaching 1000 K in a receiver directly exposed to a concentrated solar beam and integrated in a thermodynamic cycle. This paper focus on the modelling of radiative heat transfer from the optical concentrator to the receiver by taking into account absorption and multiple scattering of light in the particles bed. To achieve this objective, we develop in this work an efficient tool based on an algorithm solving the integral formulation of the Radiative Transfer Equation by the Monte Carlo Method. This algorithm is implemented in EDStaR environment where computer graphics libraries, parallel computing and specific functionalities to produce statistical quantities and their associated derivatives are available. One of the main advantage of the proposed radiative transfer modelling is the determination of the sensitivities (derivatives) of the physical quantities to any physical or geometrical parameter without significant additional CPU time.

A theoretical and experimental study of the time-dependent radiative properties of a solar bubbling fluidized bed receiver

“…In the case of SiC particles, previous results have shown that the dependency of the radiative properties on the wavelength is not significant in the solar spectrum (Baud et al, 2012). From the complex index of refraction of SiC particles found in the Handbook of optical constants of solids (1985), we can thus calculate averaged values of optical properties Q s , Q a and g. Subsequently, we performed grey calculations where the optical properties are described by the following values of the absorption and scattering cross sections:…”

Fluidized Beds for Concentrated Solar Thermal Technologies—A Review

“…FB solar receivers have been investigated as early as in the '80s, with layouts spanning from the proof-of-concept to the lab-scale levels: dense stationary gas FB, dilute-or dense-phase circulating FB (Flamant, 1982;Bachovchin et al, 1983;Megahed et al, 1988;Haddad and Elsayed, 1988;Koenigsdorff and Kienzle, 1991;Sasse and Ingel, 1993;Werther et al, 1994;Baud et al, 2012;Chirone et al, 2013;Flamant et al, 2013;Ma et al, 2014;Marti et al, 2015;Reyes-Belmonte et al, 2019;Farsi and Dincer, 2019;Díaz-Heras et al, 2020a). The extension of these concepts to the industrial scale is a matter still deserving thoughtful investigation.…”

Contribution to the Optical Design of A Concentrator with Uniform Flux for Photovoltaic Panels

“…To simulate optical systems, many softwares or development environments have been developed such as Mirval, Soltrace, Stral and Tonatiuh, [2], EDStar [17]. They commonly use the Monte Carlo ray-tracing to predict the concen- [3], [4], [9].…”

“…The raytracing is detail in the following procedure: 6. change the system of reference by rotation of angle −β 2 in order to be in the reference of the secondary;…”