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Constructal Theory Applied to Vascular Countercurrent Networks

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Book cover Constructal Law and the Unifying Principle of Design

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

Heat transfer within the human skin is a complicated process involving metabolic heat generation, heat conduction and blood perfusion in tissue, convection and perfusion of the arterial-venous blood through the capillary, and interaction with the environment. Modeling of heat-related phenomena such as bioheat transfer is important in the development of biological and biomedical technologies, such as thermotherapy of skin cancer and the design of heating or cooling garments, as well as protecting human life in cases of accidental or natural disasters [1, 2]. In this chapter, the constructal theory of multi-scale tree-shaped heat exchangers is applied to the vascular countercurrent network embedded in a three-dimensional triple layered skin structure. Based on the designed vascular countercurrent network, we present our mathematical models and numerical results for predicting skin burn injury induced by intense radiation heating and for optimizing skin temperature induced by laser or electromagnetic radiations related to hyperthermia cancer treatments.

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Authors and Affiliations

  1. Mathematics and Statistics, College of Engineering and Science, Louisiana Tech University, Ruston, LA, 71272, USA

    Weizhong Dai

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  1. Weizhong Dai
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Correspondence to Weizhong Dai .

Editor information

Editors and Affiliations

  1. Sul - UFRGS, Department of Mechanical Engineering, Federal University of Rio Grande do, Rua Sarmento Leite 435, Porto Alegre, 90.050-170, Rio Grande do Sul, Brazil

    Luiz A.O. Rocha

  2. , LMDC, INSA, University of Toulouse, Avenue de Rangueil 135, Toulouse, F-31 077, France

    Sylvie Lorente

  3. Dept. Mechanical Engineering &, Materials Science, Duke University, Hudson Hall, Durham, 27708, North Carolina, USA

    Adrian Bejan

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Dai, W. (2013). Constructal Theory Applied to Vascular Countercurrent Networks. In: Rocha, L., Lorente, S., Bejan, A. (eds) Constructal Law and the Unifying Principle of Design. Understanding Complex Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5049-8_9

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  • DOI: https://doi.org/10.1007/978-1-4614-5049-8_9

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-5048-1

  • Online ISBN: 978-1-4614-5049-8

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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