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Tree-Shaped Fluid Flow and Heat Transfer
von: António F. Miguel, Luiz A. O. Rocha
Springer-Verlag, 2018
ISBN: 9783319732602 , 108 Seiten
Format: PDF, Online Lesen
Kopierschutz: Wasserzeichen
Preis: 53,49 EUR
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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