Influence of the Shade from Other Occupants on the Angle Factor between a Human Body and Radiant Surface in Buildings

  • Yongsi Wang
  • Nianping LiEmail author
  • Jian Hu
  • Yingdong He
  • A. Yongga
  • Chenzhang Yuan
  • Meng Wang
Conference paper
Part of the Environmental Science and Engineering book series (ESE)


In a real room with radiant surfaces for heating or cooling occupants, the radiant heat transfer between a certain human body and radiant surfaces is largely affected by other indoor objects such as other occupants. Nonetheless, this point is usually ignored in current studies. This study aims to quantify the influence of the shade from other indoor objects on the angle factor between a human body and radiant surfaces. First, a simplified 3-D model of standing human body was established on the basis of the Chinese adult human body size. ANSYS Fluent was used for calculating angle factor values between a human body and radiant surface in a room with a size of 5 m × 5 m × 5 m (length × width × height). The concept of relative angle factors was proposed and a first-order exponential correlation was found between the position and the relative angle factor. In the non-shaded condition, as the human body had larger horizontal distances or smaller vertical distances, the decrease in both angle factors and relative angle factors became faster. In the shaded condition, the angle factors decreased when the horizontal position of the shade human body closed to the center line of the radiant surface or the vertical position of the shade closed to the edge of the radiant solid angle.


Angle factor Radiant heat transfer Human body model in standing posture Numerical simulation Shade 



This work was financially supported by the National Natural Science Foundation of China (Project No. 51878255).


  1. 1.
    Zheng, D., Li, N., Long, J.: Radiation angle factor calculation between human body and radiant panel by contour integral method. Heating Ventilating Air Conditioning 45(1), 91–96 (2015)Google Scholar
  2. 2.
    Huang, Q.: The research on indoor thermal comfort and applicability of PMV index. Hunan University (2013)Google Scholar
  3. 3.
    Ran, M.: Theoretical calculation model and method of the thermal radiation from the heating floor to human body. J. Huaqiao Univ. (Nat. Sci.) 31(1), 95–98 (2010)Google Scholar
  4. 4.
    Zheng, D., Li, N., Yang, C.: Angel factors between surface in a radiant air-conditioned room. J. Civ. Archit. Environ. Eng. 37(1), 55–60 (2015)Google Scholar
  5. 5.
    Fanger, P.O., Angelius, O., Jensen, P.K.: Radiation data for the human body. ASHRAE Trans. 76(2), 338–373 (1970)Google Scholar
  6. 6.
    Ozeki, Y., Konishi, M.: Numerical calculation of angle factors between human body and rectangular planes. In: Air Distribution in Rooms, pp. 27–33 (2000)Google Scholar
  7. 7.
    Zheng, D.: Research on view factors in radiant air-conditioned rooms. Hunan University (2016)Google Scholar
  8. 8.
    Wang, Z., He, M.: Analysis of influence factors of angular coefficient between floor and human body. Build. Sci. 30(2), 89–93 (2014)Google Scholar
  9. 9.
    Masaki, M., Hitoshi, Y., Koji, S.: Shape factor simulation for the thermal radiation environment of the human body and the VRML visualization. Build. Environ. 39(8), 927–937 (2004)CrossRefGoogle Scholar
  10. 10.
    Hu, J.: Research on angle factors between multi-radiation panel and enclosure structures or human body. Hunan University (2017)Google Scholar
  11. 11.
    State Bureau of Technology Supervision, GB/T 10000 88. Human dimensions of Chinese adults. Beijing, China, pp. 7–10 (1989)Google Scholar
  12. 12.
    Hu, Y., Wu, X., Hu, Z.: Study of formula for calculating body surface areas of the Chinese adults. Acta Physiol. Sin. 51(1), 45–48 (1999)MathSciNetGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Yongsi Wang
    • 1
  • Nianping Li
    • 1
    Email author
  • Jian Hu
    • 1
  • Yingdong He
    • 1
  • A. Yongga
    • 1
  • Chenzhang Yuan
    • 1
  • Meng Wang
    • 1
  1. 1.College of Civil EngineeringHunan UniversityChangshaChina

Personalised recommendations