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Acceptance-Rejection Sampling Based Monte Carlo Ray Tracing in Anisotropic Porous Media

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  • Wang, P.
  • Li, J.B.
  • Zhou, L.
  • Liu, D.Y.

Abstract

In this paper, a Monte Carlo ray-tracing method for modeling the incident irradiation propagation in a porous absorber with linear variable pore structure is presented. An acceptance-rejection method (ARM) is employed to generate each step size of the photon’s free path according to the specific radiative characteristics of the anisotropic porous medium. The method we proposed overcomes the limitation of the inverse transform method (ITM) by avoiding the integration process to obtain the cumulative distribution function. Using this method, the volumetric distribution in an absorber with a linear variable pore structure is determined. Three typical linear pore structure layouts—increasing (I-type), decreasing (D-type), and constant (C-type)—are analyzed. In general, the D-type layout achieves excellent optical efficiency and homogeneity of solar irradiation distribution. A sparse porous structure is beneficial for the in-depth propagation of photons, but it also increases the probability of photons scattering out of the medium. Therefore, increasing the density at the backside to intercept the ray effectively improves the optical efficiency. The model developed in this work is useful for understanding the propagation of solar irradiation distribution in a porous absorber with an anisotropic media, which is important for the thermal design of volumetric receivers.

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  • Wang, P. & Li, J.B. & Zhou, L. & Liu, D.Y., 2020. "Acceptance-Rejection Sampling Based Monte Carlo Ray Tracing in Anisotropic Porous Media," Energy, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:energy:v:199:y:2020:i:c:s0360544220305624
    DOI: 10.1016/j.energy.2020.117455
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    References listed on IDEAS

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    1. Du, Shen & Ren, Qinlong & He, Ya-Ling, 2017. "Optical and radiative properties analysis and optimization study of the gradually-varied volumetric solar receiver," Applied Energy, Elsevier, vol. 207(C), pages 27-35.
    2. Pitot de la Beaujardiere, Jean-Francois P. & Reuter, Hanno C.R., 2018. "A review of performance modelling studies associated with open volumetric receiver CSP plant technology," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 3848-3862.
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    5. Avila-Marin, Antonio L. & Alvarez de Lara, Monica & Fernandez-Reche, Jesus, 2018. "Experimental results of gradual porosity volumetric air receivers with wire meshes," Renewable Energy, Elsevier, vol. 122(C), pages 339-353.
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    2. Wang, P. & Li, J.B. & Xu, R.N. & Jiang, P.X., 2021. "Non-uniform and volumetric effect on the hydrodynamic and thermal characteristic in a unit solar absorber," Energy, Elsevier, vol. 225(C).
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    4. Li, J.B. & Wang, P. & Liu, D.Y., 2022. "Optimization on the gradually varied pore structure distribution for the irradiated absorber," Energy, Elsevier, vol. 240(C).

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