IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v199y2020ics0360544220305624.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544220305624
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2020.117455?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Roldán, M.I. & Smirnova, O. & Fend, T. & Casas, J.L. & Zarza, E., 2014. "Thermal analysis and design of a volumetric solar absorber depending on the porosity," Renewable Energy, Elsevier, vol. 62(C), pages 116-128.
    2. 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.
    3. 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.
    4. 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.
    5. Cui, F.Q. & He, Y.L. & Cheng, Z.D. & Li, D. & Tao, Y.B., 2012. "Numerical simulations of the solar transmission process for a pressurized volumetric receiver," Energy, Elsevier, vol. 46(1), pages 618-628.
    6. Barreto, Germilly & Canhoto, Paulo & Collares-Pereira, Manuel, 2018. "Three-dimensional modelling and analysis of solar radiation absorption in porous volumetric receivers," Applied Energy, Elsevier, vol. 215(C), pages 602-614.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zheng, Hangbin & Liu, Xianglei & Xuan, Yimin & Song, Chao & Liu, Dachuan & Zhu, Qibin & Zhu, Zhonghui & Gao, Ke & Li, Yongliang & Ding, Yulong, 2021. "Thermochemical heat storage performances of fluidized black CaCO3 pellets under direct concentrated solar irradiation," Renewable Energy, Elsevier, vol. 178(C), pages 1353-1369.
    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).
    3. 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).
    4. Yao, Haichen & Liu, Xianglei & Luo, Qingyang & Xu, Qiao & Tian, Yang & Ren, Tianze & Zheng, Hangbin & Gao, Ke & Dang, Chunzhuo & Xuan, Yimin & Liu, Zhan & Yang, Xiaohu & Ding, Yulong, 2022. "Experimental and numerical investigations of solar charging performances of 3D porous skeleton based latent heat storage devices," Applied Energy, Elsevier, vol. 320(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Avila-Marin, A.L. & Fernandez-Reche, J. & Martinez-Tarifa, A., 2019. "Modelling strategies for porous structures as solar receivers in central receiver systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 111(C), pages 15-33.
    3. Du, Shen & Xia, Tian & He, Ya-Ling & Li, Zeng-Yao & Li, Dong & Xie, Xiang-Qian, 2020. "Experiment and optimization study on the radial graded porous volumetric solar receiver matching non-uniform solar flux distribution," Applied Energy, Elsevier, vol. 275(C).
    4. Barreto, Germilly & Canhoto, Paulo & Collares-Pereira, Manuel, 2019. "Three-dimensional CFD modelling and thermal performance analysis of porous volumetric receivers coupled to solar concentration systems," Applied Energy, Elsevier, vol. 252(C), pages 1-1.
    5. Sedighi, Mohammadreza & Padilla, Ricardo Vasquez & Alamdari, Pedram & Lake, Maree & Rose, Andrew & Izadgoshasb, Iman & Taylor, Robert A., 2020. "A novel high-temperature (>700 °C), volumetric receiver with a packed bed of transparent and absorbing spheres," Applied Energy, Elsevier, vol. 264(C).
    6. Avila-Marin, Antonio L. & Fernandez-Reche, Jesus & Carballo, Jose Antonio & Carra, Maria Elena & Gianella, Sandro & Ferrari, Luca & Sanchez-Señoran, Daniel, 2022. "CFD analysis of the performance impact of geometrical shape on volumetric absorbers in a standard cup," Renewable Energy, Elsevier, vol. 201(P1), pages 256-272.
    7. Broeske, Robin Tim & Schwarzbözl, Peter & Birkigt, Lisa & Vasic, Srdan & Dung, Sebastian & Doerbeck, Till & Hoffschmidt, Bernhard, 2023. "Experimentally assessed efficiency improvement of innovative 3D-shaped structures as volumetric absorbers," Renewable Energy, Elsevier, vol. 218(C).
    8. Guilong Dai & Jiangfei Huangfu & Xiaoyu Wang & Shenghua Du & Tian Zhao, 2023. "A Review of Radiative Heat Transfer in Fixed-Bed Particle Solar Receivers," Sustainability, MDPI, vol. 15(13), pages 1-37, June.
    9. 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).
    10. Navalho, Jorge E.P. & Pereira, José C.F., 2020. "A comprehensive and fully predictive discrete methodology for volumetric solar receivers: application to a functional parabolic dish solar collector system," Applied Energy, Elsevier, vol. 267(C).
    11. Avila-Marin, Antonio L. & Fernandez-Reche, Jesus & Gianella, Sandro & Ferrari, Luca & Sanchez-Señoran, Daniel, 2022. "Experimental study of innovative periodic cellular structures as air volumetric absorbers," Renewable Energy, Elsevier, vol. 184(C), pages 391-404.
    12. 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.
    13. Vishwa Deepak Kumar & Vikas K. Upadhyay & Gurveer Singh & Sudipto Mukhopadhyay & Laltu Chandra, 2022. "Open volumetric air receiver: An innovative application and a major challenge," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 11(1), January.
    14. Barreto, Germilly & Canhoto, Paulo & Collares-Pereira, Manuel, 2020. "Parametric analysis and optimisation of porous volumetric solar receivers made of open-cell SiC ceramic foam," Energy, Elsevier, vol. 200(C).
    15. Zhu, Qibin & Xuan, Yimin, 2019. "Improving the performance of volumetric solar receivers with a spectrally selective gradual structure and swirling characteristics," Energy, Elsevier, vol. 172(C), pages 467-476.
    16. Barreto, Germilly & Canhoto, Paulo & Collares-Pereira, Manuel, 2018. "Three-dimensional modelling and analysis of solar radiation absorption in porous volumetric receivers," Applied Energy, Elsevier, vol. 215(C), pages 602-614.
    17. Bo Yang & Mohammad Mohsen Sarafraz & Maziar Arjomandi, 2021. "Thermal Performance Characteristics of a Microchannel Gas Heater for Solar Heating Applications," Energies, MDPI, vol. 14(22), pages 1-14, November.
    18. 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.
    19. Shi, Xuhang & Li, Chunzhe & Yang, Zhenning & Xu, Jie & Song, Jintao & Wang, Fuqiang & Shuai, Yong & Zhang, Wenjing, 2024. "Egg-tray-inspired concave foam structure on pore-scale space radiation regulation for enhancing photo-thermal-chemical synergistic conversion," Energy, Elsevier, vol. 297(C).
    20. Roldán, M.I. & Fernández-Reche, J. & Ballestrín, J., 2016. "Computational fluid dynamics evaluation of the operating conditions for a volumetric receiver installed in a solar tower," Energy, Elsevier, vol. 94(C), pages 844-856.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:199:y:2020:i:c:s0360544220305624. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.