Optimum Design of Cooling Pipe Systems by Branching Tree Model in Nature

  • K. Yamazaki
  • X. Ding
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 199)


This paper suggests an innovative design methodology of heat transfer system based on a so-called adaptive growth law, which is an essential optimum growth rule of branch systems in nature. The branch systems in nature can grow by adapting themselves automatically to the growth environments in order to achieve better global functional performances, such as the maximal absorption of nutrition or sunlight in plants and the intelligent blood delivery of a vascular system in animal body. Thus, it can be expected that an optimum layout of heat transfer system would be obtained by the generation method based on the growth mechanism of branch systems in nature. First, the emergent process of branch systems in nature is reproduced in computer model by studying their common growth mechanisms. The branch systems are grown by the control of a so-called nutrient density so as to make it possible that the distribution of branches is dependent on the nutrient distribution. Then, the generation method is applied to the layout design problem for heat transfer systems. Both the conductive heat transfer system and the convective heat transfer system are designed by utilizing the generation method based on the growth mechanisms of branch systems in nature. The effectiveness of the suggested design method is validated by the FEM analysis and by the comparison with other conventional optimum design methods.


Layout Optimization Cooling Channel Branch System Bionic Design 


  1. [1]
    H. Honda, Description of form of trees by the parameters of tree-Like body: effects of the branching angle and the branch length on the shape of the tree-like body, J. Theor. Bio., 31, pp.331–338, 1971.CrossRefGoogle Scholar
  2. [2]
    A. Takenaka, A simulation model of tree architecture development based on growth response to local light environment, J. Plant Research, 107, pp.321–330, 1994.CrossRefGoogle Scholar
  3. [3]
    R. Takaki, H. Kitaoka, Virtual construction of human lung, Forma, 14, pp.309–313,1999.Google Scholar
  4. [4]
    W. Schreiner, R. Karch, F. Neumann, M. Neumann, Constrained constructive optimization of arterial tree models, In: Scaling in Biology, Edited by Brown, J.H. & West G.B., Oxford university press, Inc., pp. 145–165, 2000.Google Scholar
  5. [5]
    X. Ding, K. Yamazaki, Stiffener layout design for plate structures by growing and branching tree model (application to vibration-proof design), Struct. Multidisc. Optim., 26, pp.99–110, 2004.CrossRefGoogle Scholar
  6. [6]
    Bejan, A., Shape and structure, from engineering to nature, Cambridge, UK: Cambridge University Press, 2000.Google Scholar

Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • K. Yamazaki
    • 1
  • X. Ding
    • 2
  1. 1.Dept. of Human & Mechanical Systems EngineeringKanazawa UniversityKanazawaJapan
  2. 2.Dept. of Mechanical EngineeringUniversity of Shanghai for Science and TechnologyShanghaiChina

Personalised recommendations