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Constructal design of evacuation from a three-dimensional living space

Author

Listed:
  • Lui, C.H.
  • Fong, N.K.
  • Lorente, S.
  • Bejan, A.
  • Chow, W.K.

Abstract

This paper demonstrates the fundamental relation that exists between the configuration of a three-dimensional living space and the time needed for the evacuation of all the inhabitants. The evacuation is treated as a physical flow system consisting of pedestrians who move from a volume to one or two exits. The living space has two variable aspect ratios, the floor shape and the profile shape (or the number of floors). First, the paper reports analytically the optimal floor and profile shapes for which the total evacuation time is minimum. Second, the analytical results are complemented and validated by numerical results obtained based on numerous simulations of pedestrian flow from volume to exits. The numerical results are further validated by performing the simulations of pedestrian movement with two different computational codes (Simulex and FDS + Evac). The fundamental relation presented in this paper can be used in the design of larger and more complex living spaces in modern urban settings.

Suggested Citation

  • Lui, C.H. & Fong, N.K. & Lorente, S. & Bejan, A. & Chow, W.K., 2015. "Constructal design of evacuation from a three-dimensional living space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 47-57.
    • Handle: RePEc:eee:phsmap:v:422:y:2015:i:c:p:47-57
    DOI: 10.1016/j.physa.2014.12.005
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    References listed on IDEAS

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    1. Serge Salat & Loeiz Bourdic, 2012. "Urban Complexity, Efficiency and Resilience," Chapters, in: Zoran Morvaj (ed.), Energy Efficiency - A Bridge to Low Carbon Economy, IntechOpen.
    2. Miguel, Antonio F. & Bejan, Adrian, 2009. "The principle that generates dissimilar patterns inside aggregates of organisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 727-731.
    3. Bejan, A. & Ledezma, G.A., 1998. "Streets tree networks and urban growth: Optimal geometry for quickest access between a finite-size volume and one point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(1), pages 211-217.
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    Cited by:

    1. Ping, Ping & Wang, Ke & Kong, Depeng, 2018. "Analysis of emergency evacuation in an offshore platform using evacuation simulation modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 601-612.
    2. Liu, Xiong & Feng, Huijun & Chen, Lingen & Qin, Xiaoyong & Sun, Fengrui, 2016. "Hot metal yield optimization of a blast furnace based on constructal theory," Energy, Elsevier, vol. 104(C), pages 33-41.

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