Tree-Shaped Fluid Flow and Heat Transfer

  • António F. Miguel
  • Luiz A. O. Rocha

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-viii
  2. António F. Miguel, Luiz A. O. Rocha
    Pages 1-8
  3. António F. Miguel, Luiz A. O. Rocha
    Pages 9-34
  4. António F. Miguel, Luiz A. O. Rocha
    Pages 35-43
  5. António F. Miguel, Luiz A. O. Rocha
    Pages 45-57
  6. António F. Miguel, Luiz A. O. Rocha
    Pages 59-74
  7. António F. Miguel, Luiz A. O. Rocha
    Pages 75-93
  8. António F. Miguel, Luiz A. O. Rocha
    Pages 95-102

About this book


This book provides the first comprehensive state-of-the-art research on tree (dendritic) fluid flow and heat transfer. It covers theory, numerical simulations and applications. It can serve as extra reading for graduate-level courses in engineering and biotechnology.
Tree flow networks, also known as dendritic flow networks, are ubiquitous in nature and engineering applications. Tree-shaped design is prevalent when the tendency of the flow (fluid, energy, matter and information) is to move more easily between a volume (or area) and a point, and vice versa. From the geophysical trees to animals and plants, we can observe numerous systems that exhibit tree architectures: river basins and deltas, lungs, circulatory systems, kidneys, vascularized tissues, roots, stems, and leaves, among others.Tree design is also prevalent in man-made flow systems, both in macro- and microfluidic devices. A vast array of tree-shaped design is available and still emerging in chemical engineering, electronics cooling, bioengineering, chemical and bioreactors, lab-on-a-chip systems, and smart materials with volumetric functionalities, such as self-healing and self-cooling. This book also addresses the basic design patterns and solutions for cooling bodies where there is heat generation. Several shapes of fin as well as assemblies of fins are addressed. An up-to-date review of cavities, i.e., inverted or negative fins, for facilitating the flow of heat is also presented.  Heat trees using high thermal conductivity material can be used in the cooling of heat-generating bodies, and can also be applied to the cooling of electronics.


Tree flow networks Pattern formation Macro and microfluidic Living systems Energy storage Tree-shaped flow structures Murray-Hess law

Authors and affiliations

  • António F. Miguel
    • 1
  • Luiz A. O. Rocha
    • 2
  1. 1.Department of PhysicsUniversity of ÉvoraÉvoraPortugal
  2. 2.Graduate Program in Mechanical EngineeringUniversity of Vale do Rio dos Sinos, UNISINOSSão LeopoldoBrazil

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-73259-6
  • Online ISBN 978-3-319-73260-2
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site
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