Tree-Shaped Fluid Flow and Heat Transfer (eBook)

António F. Miguel, Luiz A. O. Rocha (Autoren)

eBook Download: PDF

2018 | 1st ed. 2018
VIII, 102 Seiten
Springer International Publishing (Verlag)
978-3-319-73260-2 (ISBN)

Infos

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.

Inhalt

Preface 6
Contents 8
1 Tree-Shaped Flow Networks in Nature and Engineered Systems 10
1 Tree-Shaped Flow Networks in Nature 11
2 Tree-Shaped Flow Networks in Engineered Systems 13
References 14
2 Tree-Shaped Flow Networks Fundamentals 18
1 Hess–Murray’s Law Revisited 18
2 Generalizing Hess–Murray’s Law 21
2.1 Principle of Minimum Work Applied to Branching Ducts Under Turbulent Flow 21
2.2 Constructal View of a Branching System Under Laminar and Turbulent Flow 22
2.3 Optimum Way to Connect Porous Ducts in Branching Systems 25
2.4 Non-Newtonian Flows in a Branched System 25
2.5 Flows in an Asymmetric Branched System 27
3 Tree-Shaped Networks for Fluid Flow and Heat Conduction 28
3.1 Optimal Binary Tree Flow Model 28
3.2 Occlusion in Tree Flow Networks 31
3.3 Heat Conduction in Tree Networks 32
3.4 Fractal Tree Flow Network 32
3.5 Entropy Generation in a Flow Tree 34
4 Optimality and Design in Natural Systems 35
4.1 Optimal Number of Human Airway-Tree Structures 35
4.2 Branching Tree Model and 3/4 Power Laws 37
4.3 River Basins 38
4.4 Self-healing and Active-Cooling Vascular Networks 39
References 40
3 Transport and Deposition of Particles in Airway Trees 44
1 Aerosol Particles and the Airway Tree 44
2 Deposition Mechanism for Aerosol Particles 45
3 Airflow and Particle Transport in the Respiratory Tree 47
3.1 Equations of Motion for Air and Particles 47
3.2 Experimental Models of Inhaled Particles 49
References 51
4 Constructal Design of the Assembly of Fins 53
1 T-Shaped Assembly of Fins 54
2 Y-Shaped Assembly of Fins 57
3 T–Y Assembly of Fins 59
4 Constructal Design of the Complex Assembly of Fins 62
References 65
5 The Assembly of the Fins and the Shape of the Body 66
1 Trapezoidal Basement 66
2 Optimization Applying Genetic Algorithm (GA) 70
3 Cylindrical Basement 73
4 Best Geometries Determined by Exhaustive Search Method 77
5 Best Geometries Determined by Genetic Algorithm (GA) 78
References 81
6 Tree-Shaped Cavities 82
1 Isothermal Elemental Open Cavity 82
2 The First Construct: T-Shaped Cavity 88
3 Y-Shaped Cavity 94
4 Second Construct: H-Shaped Cavity 97
5 Giving Freedom to Morph 98
References 100
7 Tree-Shaped High Thermal Conductivity Pathways 101
1 Y-Shaped High Thermal Conductivity Pathways 101
2 Final Remarks 107
References 107

Produkt-Details

• Erscheint lt. Verlag: 20.4.2018
• Reihe/Serie: SpringerBriefs in Applied Sciences and Technology
• Reihe/Serie: SpringerBriefs in Applied Sciences and Technology
• Zusatzinfo: VIII, 102 p. 46 illus., 16 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Energy Storage • Living systems • Macro and microfluidic • Murray-Hess law • pattern formation • Tree flow networks • Tree-shaped flow structures
• ISBN-10: 3-319-73260-9 / 3319732609
• ISBN-13: 978-3-319-73260-2 / 9783319732602