Encyclopedia of Two-phase Heat Transfer and Flow III: Volume 1-Numerical Modeling Methodologies |
|
|
|
v | |
|
About the Editor-in-Chief |
|
|
vii | |
|
|
ix | |
|
Chapter 1 Fundamentals of Multiphase Flow Modeling Based on Continuum Dynamics |
|
|
1 | (26) |
|
|
|
|
1 | (13) |
|
1.1 Kinematic equation of interface |
|
|
1 | (1) |
|
1.2 Phase definition function |
|
|
2 | (1) |
|
1.3 Interface curvature and surface tension |
|
|
3 | (3) |
|
1.4 Local instantaneous equations and jump conditions |
|
|
6 | (6) |
|
1.5 One-fluid formulation |
|
|
12 | (2) |
|
2 Ensemble-Averaged Equations |
|
|
14 | (3) |
|
2.1 General form of averaged equations |
|
|
14 | (2) |
|
2.2 Averaged conservation equations |
|
|
16 | (1) |
|
|
17 | (8) |
|
|
17 | (1) |
|
A.1.1 Vectors and tensors |
|
|
17 | (1) |
|
A.1.2 Derivatives of scalar and vector fields |
|
|
20 | (1) |
|
A.1.3 Gauss theorem and Stokes theorem |
|
|
21 | (1) |
|
A.1.4 Leibniz rule and Reynolds' transport theorem |
|
|
21 | (2) |
|
A.2 Curvature of 2D interface |
|
|
23 | (1) |
|
A.3 Surface tension force in surface integral form |
|
|
24 | (1) |
|
|
25 | (2) |
|
Chapter 2 Interface Tracking Methods |
|
|
27 | (46) |
|
|
|
1 One-Fluid Formulation for Incompressible Two-Phase Flows |
|
|
27 | (1) |
|
2 Solving One-Fluid Equations |
|
|
28 | (4) |
|
|
32 | (20) |
|
3.1 Mixture density and viscosity |
|
|
32 | (2) |
|
3.2 Surface tension force model |
|
|
34 | (1) |
|
3.3 Balanced-force-type discretization for fsigma |
|
|
35 | (2) |
|
|
37 | (4) |
|
3.5 Time integration of advection equation of alpha |
|
|
41 | (3) |
|
|
44 | (1) |
|
3.6.1 Non-uniform subcell scheme |
|
|
44 | (1) |
|
|
46 | (1) |
|
3.7 Rising drop simulations |
|
|
47 | (1) |
|
3.7.1 2D axisymmetric coordinates |
|
|
47 | (1) |
|
3.7.2 3D simulation for curved boundaries |
|
|
48 | (4) |
|
|
52 | (9) |
|
|
52 | (1) |
|
4.2 Reinitialization of level-set function |
|
|
53 | (3) |
|
|
56 | (2) |
|
|
58 | (1) |
|
4.5 Surface tension force model |
|
|
58 | (2) |
|
|
60 | (1) |
|
|
61 | (8) |
|
5.1 Interface representation and interface tracking |
|
|
61 | (3) |
|
5.2 Phase definition function and fluid properties |
|
|
64 | (2) |
|
5.3 Surface tension force model |
|
|
66 | (3) |
|
|
69 | (4) |
|
Chapter 3 Tutorial on Advection Schemes for Interface Volume Capturing Techniques |
|
|
73 | (44) |
|
|
|
73 | (2) |
|
|
75 | (3) |
|
2.1 One-fluid formulation |
|
|
76 | (2) |
|
|
78 | (3) |
|
4 Advecting an Indicator Function |
|
|
81 | (4) |
|
5 Geometrical VOF Methods |
|
|
85 | (16) |
|
5.1 PLIC: Interface reconstruction |
|
|
87 | (1) |
|
5.1.1 Parker and Young's method |
|
|
88 | (1) |
|
5.1.2 Height function method |
|
|
88 | (1) |
|
|
90 | (1) |
|
5.1.4 The least-square fit method |
|
|
90 | (1) |
|
5.1.5 Determination of the line constant C |
|
|
91 | (1) |
|
5.2 PLIC: Interface advection |
|
|
92 | (1) |
|
|
93 | (1) |
|
|
95 | (4) |
|
5.3 Concluding remarks on geometric VOF methods |
|
|
99 | (2) |
|
|
101 | (11) |
|
|
103 | (1) |
|
6.1.1 Normalized variable diagram |
|
|
103 | (1) |
|
6.1.2 The basis of the CICSAM scheme |
|
|
105 | (3) |
|
6.2 Flux corrected transport |
|
|
108 | (1) |
|
|
109 | (2) |
|
6.3 Concluding remarks on algebraic VOF methods |
|
|
111 | (1) |
|
|
112 | (1) |
|
|
112 | (5) |
|
Chapter 4 Arbitrary Lagrangian-Eulerian FEM for Two-Phase Flows: New Methods |
|
|
117 | (24) |
|
|
|
|
|
117 | (1) |
|
|
118 | (2) |
|
3 Pre-Processing of Periodic Meshes |
|
|
120 | (3) |
|
4 Periodic Decomposition via the Transformed Variable Approach |
|
|
123 | (1) |
|
5 Periodic Boundary Conditions: Variational Context and Implementation |
|
|
124 | (7) |
|
5.1 Variational formulation in periodic domains |
|
|
124 | (3) |
|
5.2 Computational implementation: Post-assembling elimination |
|
|
127 | (3) |
|
5.3 Computational implementation: In-assembling elimination |
|
|
130 | (1) |
|
6 Semi-Lagrangian Method: Correction and Interpolation Issues |
|
|
131 | (3) |
|
6.1 Cross-boundary trajectories |
|
|
132 | (1) |
|
6.2 Gradient-based FE spaces |
|
|
133 | (1) |
|
|
134 | (5) |
|
7.1 Array of elongated bubbles in microchannels |
|
|
134 | (1) |
|
7.2 Periodic annular flow |
|
|
135 | (4) |
|
|
139 | (1) |
|
|
139 | (1) |
|
|
139 | (2) |
|
Chapter 5 Arbitrary Lagrangian-Eulerian Method for Two-Phase Flows: Applications |
|
|
141 | (44) |
|
|
|
|
|
141 | (2) |
|
2 Validations, Benchmarks and Results |
|
|
143 | (38) |
|
2.1 Curvature calculation |
|
|
143 | (2) |
|
|
145 | (2) |
|
|
147 | (2) |
|
|
149 | (2) |
|
2.5 Falling drop in an inert media |
|
|
151 | (2) |
|
|
153 | (5) |
|
2.7 Rising of Taylor bubbles |
|
|
158 | (7) |
|
2.8 Periodic array of in-line rising bubbles |
|
|
165 | (1) |
|
2.8.1 Dimensionless governing equations |
|
|
167 | (1) |
|
2.8.2 Adaptive mesh refinement |
|
|
168 | (1) |
|
2.8.3 Validation tests and rising velocities |
|
|
168 | (1) |
|
2.8.4 Shape factors and trajectories |
|
|
170 | (1) |
|
2.8.5 Wake effects and near-field velocity |
|
|
172 | (3) |
|
2.9 Microchannel simulations |
|
|
175 | (3) |
|
|
178 | (3) |
|
|
181 | (1) |
|
|
182 | (3) |
|
Chapter 6 Arbitrary Lagrangian-Eulerian Method for Two-Phase Flows: 2D and Axisymmetric Formulation |
|
|
185 | (40) |
|
|
|
|
|
186 | (1) |
|
2 Describing Moving Interfaces |
|
|
186 | (2) |
|
|
188 | (6) |
|
3.1 Two-phase flow equations |
|
|
188 | (2) |
|
|
190 | (2) |
|
|
192 | (1) |
|
3.4 Curvature and surface tension |
|
|
192 | (1) |
|
|
193 | (1) |
|
|
194 | (9) |
|
|
194 | (2) |
|
|
196 | (1) |
|
4.3 Weak form of the Navier-Stokes equations |
|
|
197 | (2) |
|
4.4 Elements for the Navier-Stokes equations |
|
|
199 | (1) |
|
4.5 Element shape functions |
|
|
199 | (1) |
|
|
201 | (1) |
|
4.5.2 Linear + cubic bubble |
|
|
201 | (1) |
|
|
202 | (1) |
|
4.5.4 Quadratic + cubic bubble |
|
|
202 | (1) |
|
|
202 | (1) |
|
|
203 | (6) |
|
|
203 | (1) |
|
|
204 | (1) |
|
|
205 | (1) |
|
5.4 Discrete surface tension force |
|
|
206 | (2) |
|
5.5 Extension of interface quantities |
|
|
208 | (1) |
|
|
209 | (2) |
|
|
210 | (1) |
|
|
211 | (9) |
|
7.1 Stokes flow around a sphere |
|
|
211 | (1) |
|
7.2 Drop in a uniform velocity field |
|
|
212 | (3) |
|
|
215 | (1) |
|
7.4 Rayleigh-Taylor instability |
|
|
216 | (2) |
|
7.5 Bubble flowing in a microchannel |
|
|
218 | (2) |
|
|
220 | (1) |
|
|
221 | (4) |
|
Chapter 7 Examples of Pool-Boiling Simulations Using an Interface Tracking Method Applied to Nucleate Boiling, Departure from Nucleate Boiling and Film Boiling |
|
|
225 | (40) |
|
|
|
|
|
225 | (3) |
|
|
228 | (13) |
|
2.1 Navier-Stokes solver for two-phase flow |
|
|
228 | (2) |
|
2.2 Energy balance equation |
|
|
230 | (4) |
|
2.3 Sharp-interface phase-change model |
|
|
234 | (1) |
|
2.4 Nucleation-site model |
|
|
235 | (1) |
|
|
236 | (4) |
|
2.6 The complete solution algorithm |
|
|
240 | (1) |
|
|
241 | (1) |
|
|
241 | (18) |
|
3.1 Verification of phase-change model |
|
|
242 | (1) |
|
3.2 Pool boiling from a single-nucleation site |
|
|
243 | (3) |
|
3.3 Pool boiling from multiple nucleation sites |
|
|
246 | (1) |
|
3.3.1 Conditions for the simulation |
|
|
248 | (1) |
|
3.3.2 Results of the simulations |
|
|
251 | (1) |
|
3.3.2.1 Parameter studies for Cslope |
|
|
251 | (1) |
|
3.3.2.2 Wall temperature and heat flux |
|
|
252 | (1) |
|
3.3.2.3 Heat transfer coefficient |
|
|
253 | (1) |
|
3.3.2.4 Sources of mass transfer: Superheated liquid and micro-layer |
|
|
254 | (1) |
|
3.3.2.5 Bubble shape and temperature distribution |
|
|
254 | (1) |
|
3.3.2.6 Photographic study comparisons |
|
|
259 | (1) |
|
|
259 | (1) |
|
|
260 | (1) |
|
|
260 | (5) |
|
Chapter 8 Direct Numerical Simulations for Two-Phase Flows with Phase Change |
|
|
265 | (24) |
|
|
|
|
|
265 | (2) |
|
|
267 | (16) |
|
|
267 | (3) |
|
|
270 | (1) |
|
2.3 Illustrative examples |
|
|
271 | (2) |
|
2.4 Conservation of momentum |
|
|
273 | (3) |
|
|
276 | (2) |
|
|
278 | (3) |
|
|
281 | (2) |
|
3 Conclusions and Future Work |
|
|
283 | (1) |
|
|
284 | (1) |
|
|
284 | (5) |
|
|
289 | |
Encyclopedia of Two-phase Heat Transfer and Flow III: Volume 2-Macro and Microscale Flow Boiling and Condensation |
|
|
|
v | |
|
About the Editor-in-Chief |
|
|
vii | |
|
|
ix | |
|
Chapter 1 Two-Phase Flow and Heat Transfer in Multi-Microchannel Evaporators: Improved Measurements, Data Reduction and Models |
|
|
1 | (102) |
|
|
|
|
1 | (9) |
|
1.1 Flow boiling heat transfer mechanism |
|
|
2 | (2) |
|
1.2 Heat conduction models for reducing test data |
|
|
4 | (1) |
|
1.3 Flow boiling pressure drop |
|
|
5 | (2) |
|
1.4 Wall temperature response under transient heat loads |
|
|
7 | (1) |
|
1.5 Transient local heat transfer coefficients |
|
|
8 | (2) |
|
|
10 | (3) |
|
2.1 Facility and test section |
|
|
10 | (2) |
|
2.2 Operating conditions and measurement uncertainties |
|
|
12 | (1) |
|
|
13 | (19) |
|
|
13 | (1) |
|
|
13 | (1) |
|
|
15 | (1) |
|
|
15 | (1) |
|
3.1.2.2 Local Nusselt number |
|
|
15 | (1) |
|
|
16 | (1) |
|
|
16 | (1) |
|
3.2.1.1 Inlet and outlet restriction pressure drops |
|
|
16 | (1) |
|
3.2.1.2 Channel pressure drops |
|
|
16 | (1) |
|
|
17 | (1) |
|
|
17 | (1) |
|
3.2.2.2 Local heat transfer coefficients |
|
|
18 | (1) |
|
3.3 Heat conduction models |
|
|
18 | (1) |
|
|
18 | (1) |
|
|
19 | (1) |
|
|
20 | (1) |
|
3.3.4 3D inverse heat conduction model (3D-TDMA) |
|
|
21 | (1) |
|
3.3.4.1 Boundary conditions |
|
|
22 | (1) |
|
|
23 | (1) |
|
3.3.4.3 Newton-Raphson iteration |
|
|
24 | (1) |
|
3.3.4.4 Energy balance method |
|
|
25 | (1) |
|
3.4 Validation of heat conduction models |
|
|
25 | (1) |
|
3.4.1 Case I: Single-phase flow |
|
|
26 | (1) |
|
3.4.1.1 Footprint heat flux and temperature |
|
|
26 | (1) |
|
3.4.1.2 Local fluid temperature, heat transfer coefficients and Nusselt number |
|
|
27 | (2) |
|
3.4.2 Case II: Two-phase flow |
|
|
29 | (1) |
|
3.4.2.1 Footprint heat flux and temperature |
|
|
29 | (3) |
|
4 Single-Phase Flow Validation |
|
|
32 | (2) |
|
|
32 | (1) |
|
|
33 | (1) |
|
4.1.2 Local Nusselt number |
|
|
33 | (1) |
|
5 Two-Phase Flow Experimental Results and Discussion |
|
|
34 | (48) |
|
5.1 Steady-state pressure drop |
|
|
34 | (1) |
|
5.1.1 Experimental results |
|
|
34 | (1) |
|
5.1.1.1 Influence from saturation temperature |
|
|
35 | (1) |
|
5.1.1.2 Influence from inlet subcooling |
|
|
36 | (1) |
|
5.1.1.3 Influence from fluid |
|
|
36 | (1) |
|
5.1.1.4 Influence from test section inlet orifice |
|
|
37 | (1) |
|
5.1.2 Two-phase pressure drop model validation |
|
|
38 | (1) |
|
5.1.2.1 Homogeneous equilibrium model (HOM) |
|
|
39 | (1) |
|
5.1.2.2 Separated flow model |
|
|
40 | (6) |
|
5.1.3 Two-phase flow local pressure and temperature predictions |
|
|
46 | (4) |
|
5.2 Steady-state heat transfer |
|
|
50 | (1) |
|
5.2.1 Effect of heat flux |
|
|
50 | (1) |
|
5.2.2 Effect of mass flux |
|
|
51 | (1) |
|
5.2.3 Effect of inlet subcooling |
|
|
52 | (1) |
|
5.2.4 Effect of saturation temperature |
|
|
52 | (1) |
|
|
53 | (1) |
|
5.2.6 Effect of inlet orifice |
|
|
54 | (1) |
|
5.3 Wall temperature response under transient heat loads |
|
|
55 | (1) |
|
5.3.1 Thermal and flow visualization during a cold startup |
|
|
55 | (1) |
|
5.3.1.1 Effect of test section |
|
|
59 | (1) |
|
5.3.1.2 Effect of pulse magnitude |
|
|
60 | (1) |
|
5.3.1.3 Effect of mass flux |
|
|
61 | (1) |
|
5.3.1.4 Effect of inlet subcooling |
|
|
64 | (1) |
|
5.3.1.5 Effect of outlet saturation temperature |
|
|
65 | (1) |
|
|
66 | (1) |
|
5.3.1.7 Effect of surface roughness |
|
|
67 | (1) |
|
5.3.2 Heat flux periodic variation |
|
|
67 | (1) |
|
5.3.2.1 Effect of pulse period |
|
|
67 | (1) |
|
5.3.2.2 Effect of mass flux |
|
|
69 | (1) |
|
5.4 Transient local heat transfer coefficients |
|
|
69 | (1) |
|
5.4.1 Case study presentation |
|
|
69 | (1) |
|
5.4.2 Data reduction method 1-3D-TDMA |
|
|
71 | (1) |
|
5.4.3 Method 2-2D-controlled |
|
|
73 | (1) |
|
|
76 | (1) |
|
|
78 | (1) |
|
5.4.5.1 Local/Mean heat transfer coefficient transient variations |
|
|
78 | (1) |
|
5.4.5.2 Heat transfer coefficient profile variations |
|
|
80 | (2) |
|
6 Local Heat Transfer Model Prediction |
|
|
82 | (10) |
|
6.1 Comparison with existing methods |
|
|
82 | (1) |
|
6.1.1 Saturated flow boiling region |
|
|
82 | (1) |
|
6.1.2 Subcooled flow boiling region |
|
|
82 | (1) |
|
6.1.3 Single-phase thermal developing region |
|
|
82 | (4) |
|
6.2 New local heat transfer models development |
|
|
86 | (1) |
|
6.2.1 Single-phase thermal developing flow |
|
|
86 | (1) |
|
6.2.2 Saturated flow boiling |
|
|
87 | (1) |
|
6.2.3 Subcooled flow boiling |
|
|
87 | (1) |
|
6.3 Global prediction from the new flow pattern-based model |
|
|
88 | (4) |
|
|
92 | (2) |
|
|
94 | (1) |
|
|
94 | (3) |
|
|
97 | (6) |
|
Chapter 2 Flow Boiling of Refrigerant-Oil Mixtures Inside Smooth and Microfin Tubes |
|
|
103 | (66) |
|
|
|
103 | (2) |
|
2 Heat Transfer Measurement for Smooth Tubes |
|
|
105 | (21) |
|
2.1 Refrigerant-oil mixture flow boiling in straight smooth tube |
|
|
105 | (1) |
|
2.1.1 R12-oil mixture in straight smooth tube |
|
|
105 | (1) |
|
2.1.2 R22-oil mixture in straight smooth tube |
|
|
106 | (1) |
|
2.1.3 R134a-oil mixture in straight smooth tube |
|
|
109 | (1) |
|
2.1.4 R407C-oil mixture in straight smooth tube |
|
|
112 | (1) |
|
2.1.5 CO2-oil mixture in straight smooth tube |
|
|
112 | (1) |
|
2.1.6 R410A-oil mixture in straight smooth tube |
|
|
118 | (1) |
|
2.1.7 R717-oil mixture in straight smooth tube |
|
|
123 | (1) |
|
2.2 Refrigerant-oil mixture flow boiling in C-shape curved smooth tube |
|
|
124 | (2) |
|
3 Heat Transfer Coefficient Correlations for Smooth Tubes |
|
|
126 | (5) |
|
4 Pressure Drop Measurement in Smooth Tubes |
|
|
131 | (8) |
|
|
131 | (1) |
|
|
132 | (2) |
|
|
134 | (3) |
|
|
137 | (2) |
|
|
139 | (1) |
|
5 Pressure Drop Correlations in Smooth Tubes |
|
|
139 | (2) |
|
6 Heat Transfer Measurement for Microfin Tubes |
|
|
141 | (9) |
|
|
141 | (1) |
|
|
142 | (2) |
|
|
144 | (1) |
|
|
145 | (4) |
|
|
149 | (1) |
|
7 Heat Transfer Coefficient Correlations for Microfin Tubes |
|
|
150 | (4) |
|
8 Pressure Drop Measurement for Microfin Tubes |
|
|
154 | (3) |
|
|
154 | (1) |
|
|
155 | (2) |
|
|
157 | (1) |
|
9 Pressure Drop Correlations for Horizontal Microfin Tubes |
|
|
157 | (5) |
|
|
162 | (1) |
|
|
163 | (6) |
|
Chapter 3 Convective Condensation of Refrigerant-Oil Mixtures Inside Smooth and Microfin Tubes |
|
|
169 | (32) |
|
|
|
169 | (1) |
|
2 Heat Transfer Measurement for Smooth Tubes |
|
|
170 | (5) |
|
|
170 | (1) |
|
|
170 | (1) |
|
|
171 | (2) |
|
|
173 | (2) |
|
3 Heat Transfer Coefficient Correlations for Smooth Tubes |
|
|
175 | (2) |
|
4 Pressure Drop Measurement for Smooth Tubes |
|
|
177 | (1) |
|
|
177 | (1) |
|
|
177 | (1) |
|
5 Pressure Drop Correlations for Smooth Tubes |
|
|
178 | (2) |
|
6 Heat Transfer Measurement for Microfin Tubes |
|
|
180 | (9) |
|
|
180 | (1) |
|
|
180 | (3) |
|
|
183 | (3) |
|
|
186 | (1) |
|
|
187 | (2) |
|
7 Heat Transfer Coefficient Correlations for Microfin Tubes |
|
|
189 | (1) |
|
8 Pressure Drop Measurements for Microfin Tubes |
|
|
189 | (6) |
|
|
189 | (4) |
|
|
193 | (1) |
|
|
194 | (1) |
|
|
195 | (1) |
|
9 Pressure Drop Correlations for Microfin Tubes |
|
|
195 | (1) |
|
|
196 | (1) |
|
|
197 | (4) |
|
Chapter 4 Flow Boiling of Refrigerant-Oil Mixtures Inside Metal-Foam Filled Tubes |
|
|
201 | (22) |
|
|
|
201 | (1) |
|
2 Flow Pattern Observation and Flow Pattern Map |
|
|
202 | (1) |
|
3 Heat Transfer Measurement and Correlation for Refrigerant-Oil Mixtures in Metal-Foam Filled Tube |
|
|
202 | (10) |
|
3.1 Heat transfer measurement |
|
|
202 | (6) |
|
3.2 Heat transfer correlations of refrigerant-oil mixtures in metal-foam filled tube |
|
|
208 | (4) |
|
4 Pressure Drop Measurement and Correlation for Refrigerant-Oil Mixtures in Metal-Foam Filled Tube |
|
|
212 | (6) |
|
4.1 Pressure drop measurement |
|
|
212 | (4) |
|
4.2 Pressure drop correlations of refrigerant-oil mixtures in metal-foam filled tube |
|
|
216 | (2) |
|
|
218 | (1) |
|
|
219 | (4) |
|
Chapter 5 Nucleate Pool Boiling of Nanorefrigerant and Oil Mixtures |
|
|
223 | (20) |
|
|
|
223 | (1) |
|
2 Heat Transfer Measurements for Nanorefrigerant and Oil Mixtures with Spherical Nanoparticles |
|
|
224 | (11) |
|
2.1 Effect of CuO nanoparticles |
|
|
224 | (1) |
|
2.2 Effect of diamond nanoparticles |
|
|
224 | (3) |
|
2.3 Effect of A1203 nanoparticles |
|
|
227 | (5) |
|
2.4 Effect of Cu nanoparticles |
|
|
232 | (1) |
|
2.5 Effect of surfactant type |
|
|
233 | (2) |
|
3 Heat Transfer Measurement for Nanorefrigerant and Oil Mixture with Cylindrical Carbon Nanotubes |
|
|
235 | (1) |
|
4 Prediction Correlations for Pool Boiling Heat Transfer of Nanorefrigerant and Oil Mixtures with Nanoparticles |
|
|
236 | (4) |
|
|
240 | (1) |
|
|
241 | (2) |
|
Chapter 6 A Review of Condensation in Inclined Tubes |
|
|
243 | (38) |
|
|
|
Seyyed Mohammad Ali Noori Rahim Abadi |
|
|
|
243 | (2) |
|
2 Related Literature on Condensation at Inclination Angles |
|
|
245 | (1) |
|
3 Condensation in Tubes at Different Inclination Angles |
|
|
246 | (17) |
|
3.1 Flow map regime and heat transfer coefficient |
|
|
247 | (5) |
|
|
252 | (1) |
|
|
253 | (4) |
|
|
257 | (6) |
|
4 Condensation at Different Saturation Temperatures |
|
|
263 | (4) |
|
4.1 Heat transfer coefficients |
|
|
263 | (2) |
|
|
265 | (2) |
|
5 Numerical Simulation of Condensation Inside a Smooth Inclined Tube |
|
|
267 | (10) |
|
|
277 | (1) |
|
|
277 | (4) |
|
|
281 | |
Encyclopedia of Two-phase Heat Transfer and Flow III: Volume 3-Micro-Two-Phase Cooling System |
|
|
|
v | |
|
About the Editor-in-Chief |
|
|
vii | |
|
|
ix | |
|
Chapter 1 A Figure of Merit for Mobile Device Thermal Management |
|
|
1 | (22) |
|
|
|
|
|
|
1 | (3) |
|
|
4 | (1) |
|
3 Defining the Coefficient of Thermal Spreading (CTS) |
|
|
5 | (5) |
|
|
5 | (2) |
|
3.2 Example applications of the coefficient of thermal spreading (CTS) |
|
|
7 | (2) |
|
3.3 Quantitative design targets using the CTS |
|
|
9 | (1) |
|
4 Why Is the CTS Important? |
|
|
10 | (1) |
|
4.1 How can we improve the CTS? |
|
|
10 | (1) |
|
4.2 Alternative CTS formulations? |
|
|
11 | (1) |
|
5 CTS Variation with Technology, Power for Fixed Mobile Platform (Tablet) |
|
|
11 | (1) |
|
6 CTS Versus Power Variation with Mobile Device Platform: Fixed Technology (Same VC Size for All) |
|
|
12 | (5) |
|
7 Optimized CTS Versus Power Variation with Platform (Large VC and Tablet) |
|
|
17 | (2) |
|
8 Summary: CTS of Mobile Devices at Various Powers and Thermal Spreading Technologies |
|
|
19 | (1) |
|
|
20 | (1) |
|
|
20 | (1) |
|
|
21 | (2) |
|
Chapter 2 Embedded Two-Phase Cooling of Ultra-High Flux Electronics Using FEEDS Manifold-Microchannel Heat Sinks |
|
|
23 | (16) |
|
|
|
|
23 | (3) |
|
|
26 | (1) |
|
3 FEEDS Experiments and Results |
|
|
27 | (9) |
|
|
36 | (1) |
|
|
36 | (1) |
|
|
36 | (3) |
|
Chapter 3 Hierarchical Systems Level Thermal Management for Multiple High Transient Heat Loads |
|
|
39 | (52) |
|
|
|
|
|
40 | (2) |
|
|
42 | (16) |
|
2.1 Nonlinear dynamic model for multi-evaporator VCC systems |
|
|
42 | (6) |
|
2.2 Critical heat flux and critical quality |
|
|
48 | (1) |
|
|
48 | (1) |
|
|
48 | (1) |
|
2.2.3 Heat transfer coefficient at evaporator exit |
|
|
51 | (1) |
|
2.3 Coefficient of performance |
|
|
51 | (2) |
|
2.4 A control-theoretic input-output model |
|
|
53 | (1) |
|
2.4.1 State-space formulation |
|
|
53 | (1) |
|
2.4.2 Steady-state analysis |
|
|
54 | (1) |
|
2.4.3 Local dynamical analysis |
|
|
55 | (3) |
|
3 Hierarchical Control Architecture |
|
|
58 | (2) |
|
4 Selection of Operating Point with Static Optimization |
|
|
60 | (1) |
|
5 Robust Feedback Control with Disturbance Rejection |
|
|
61 | (15) |
|
5.1 Inner/outer-loop control design |
|
|
64 | (1) |
|
5.1.1 Control architecture |
|
|
64 | (1) |
|
5.1.2 Selection of operating points for model linearization |
|
|
64 | (1) |
|
|
65 | (1) |
|
|
67 | (3) |
|
5.2 Multivariable control design |
|
|
70 | (1) |
|
5.2.1 Control architecture |
|
|
70 | (1) |
|
5.2.2 Clustering of linearized systems |
|
|
73 | (1) |
|
5.2.3 Robust controller design and gain scheduling |
|
|
73 | (1) |
|
|
74 | (1) |
|
5.3.1 Robust controller combined with static input scheduling |
|
|
75 | (1) |
|
6 Predictive Feedforward Control |
|
|
76 | (9) |
|
6.1 Model predictive control |
|
|
76 | (1) |
|
|
78 | (1) |
|
6.1.2 Receding horizon optimization: Effect of disturbance pulse magnitude and prediction horizon |
|
|
80 | (1) |
|
6.1.3 Dynamic prediction horizon |
|
|
80 | (2) |
|
6.2 Quasi-static predictive control |
|
|
82 | (3) |
|
7 Summary and Future Directions |
|
|
85 | (1) |
|
|
86 | (1) |
|
|
86 | (5) |
|
Chapter 4 Application of Two-Phase Loop Thermosyphons and Pulsating Heat-Pipes to Power Electronics Cooling |
|
|
91 | (66) |
|
|
|
1 Power Electronics Cooling |
|
|
91 | (1) |
|
2 Compact Thermosyphon Heat Exchanger |
|
|
92 | (18) |
|
|
92 | (1) |
|
2.2 ABB two-phase cooling technology |
|
|
93 | (2) |
|
|
95 | (1) |
|
2.3.1 Base to air thermosyphon |
|
|
95 | (1) |
|
|
101 | (5) |
|
|
106 | (1) |
|
2.4.1 Simplifications in the case of a mini-channel thermosyphon |
|
|
106 | (1) |
|
2.4.2 One-dimensional model |
|
|
107 | (1) |
|
2.4.3 Modeling of stacked thermosyphons |
|
|
109 | (1) |
|
3 Compact Pulsating Heat Pipe Heat Exchanger |
|
|
110 | (40) |
|
|
110 | (2) |
|
|
112 | (1) |
|
|
113 | (1) |
|
3.3.1 Base to air pulsating heat pipe |
|
|
113 | (1) |
|
3.3.2 Base to air pulsating heat pipe at extreme fluid temperatures |
|
|
117 | (1) |
|
3.3.3 Base to air pulsating heat pipe with symmetrical condenser design |
|
|
128 | (1) |
|
3.3.4 Base to air pulsating heat pipe with high number of turns |
|
|
135 | (1) |
|
3.3.5 Air to air pulsating heat pipe |
|
|
143 | (5) |
|
|
148 | (2) |
|
4 Conclusions and Future Research |
|
|
150 | (1) |
|
|
150 | (1) |
|
|
151 | (1) |
|
|
152 | (5) |
|
Chapter 5 Two-Phase Thermosyphon Cooling of Datacenters |
|
|
157 | (64) |
|
|
|
|
|
|
158 | (9) |
|
|
158 | (1) |
|
1.2 Thermosyphon principles |
|
|
159 | (2) |
|
1.3 Competing technologies |
|
|
161 | (2) |
|
1.4 State-of-the-art review of thermosyphons |
|
|
163 | (1) |
|
1.4.1 Experimental investigations |
|
|
163 | (1) |
|
|
166 | (1) |
|
1.5 Presentation of the chapter |
|
|
166 | (1) |
|
2 Experimental Test Bench |
|
|
167 | (14) |
|
|
168 | (2) |
|
2.2 Experimental results and analysis |
|
|
170 | (1) |
|
2.2.1 Experimental campaign |
|
|
170 | (1) |
|
|
171 | (1) |
|
2.2.3 Pumped loop versus thermosyphon thermal performance |
|
|
173 | (1) |
|
2.2.4 Thermosyphon filling ratio and loop pressure |
|
|
175 | (6) |
|
3 Dynamic Simulation Code |
|
|
181 | (11) |
|
|
181 | (1) |
|
3.1.1 Flow model and general modeling assumptions |
|
|
181 | (1) |
|
3.1.2 Evaporator, micro/tube-in-tube condenser and piping |
|
|
182 | (1) |
|
3.1.3 Parallel branch flow distribution |
|
|
185 | (1) |
|
3.1.4 Liquid accumulator model |
|
|
186 | (1) |
|
|
187 | (2) |
|
|
189 | (1) |
|
3.2.1 Steady-state validation |
|
|
189 | (1) |
|
|
191 | (1) |
|
4 Application to 2U Servers |
|
|
192 | (12) |
|
|
192 | (1) |
|
|
192 | (1) |
|
4.1.2 Geometry considered |
|
|
193 | (1) |
|
4.2 Simulations and results |
|
|
193 | (1) |
|
4.2.1 Presentation of simulated cases |
|
|
193 | (1) |
|
4.2.2 Multiplicity of the results |
|
|
194 | (1) |
|
4.2.3 Influence of various parameters |
|
|
195 | (1) |
|
4.2.4 Pressure drop breakdown for case 1 |
|
|
199 | (1) |
|
4.2.5 Unbalanced heat load in parallel CPUs |
|
|
200 | (1) |
|
4.2.6 Dynamic disturbances |
|
|
203 | (1) |
|
5 Thermo-Economic Analysis |
|
|
204 | (10) |
|
|
205 | (4) |
|
|
209 | (1) |
|
|
209 | (1) |
|
5.2.2 Capital expenses of the thermosyphon cooling system |
|
|
209 | (1) |
|
5.2.3 Operating expenses of thermosyphon and air cooling systems |
|
|
211 | (1) |
|
5.2.4 Rating metrics and results |
|
|
212 | (2) |
|
|
214 | (2) |
|
|
216 | (5) |
|
Chapter 6 Two-Phase Jet Impingement: Liquid-Vapor Interactions and Heat Transfer Mapping for Multiscale Surface Enhancement Design |
|
|
221 | (58) |
|
|
|
|
221 | (10) |
|
1.1 Single-phase jet impingement |
|
|
222 | (1) |
|
1.1.1 Single circular and slot impinging jets |
|
|
222 | (1) |
|
1.1.2 Arrays of circular and slot impinging jets |
|
|
227 | (1) |
|
1.2 Two-phase jet impingement |
|
|
228 | (1) |
|
1.2.1 Hydrodynamic effects on local heat transfer |
|
|
230 | (1) |
|
2 Array Geometry and Nozzle Shape Effects on Local Two-Phase Heat Transfer |
|
|
231 | (12) |
|
2.1 High-resolution heat transfer measurement implementation |
|
|
232 | (1) |
|
2.2 Two-phase heat transfer from confined circular impinging jets |
|
|
233 | (5) |
|
2.3 Two-phase heat transfer from a cross-shaped impinging jet |
|
|
238 | (2) |
|
|
240 | (3) |
|
3 Boiling-Induced Flow Modifications in Jet Impingement |
|
|
243 | (15) |
|
3.1 Flow modification with increasing heat flux |
|
|
244 | (4) |
|
3.2 Bubble dynamics and effect of confinement gap height |
|
|
248 | (6) |
|
3.3 Turbulence modulation |
|
|
254 | (4) |
|
4 Enhancement of Two-Phase Jet Impingement Heat Transfer |
|
|
258 | (12) |
|
4.1 Surface enhancement design for two-phase jet impingement heat transfer |
|
|
258 | (2) |
|
4.2 Complementary hybrid surface enhancement design |
|
|
260 | (1) |
|
4.3 Effects of surface enhancements on jet impingement heat transfer |
|
|
261 | (5) |
|
4.4 Performance enhancement with complementary impingement |
|
|
266 | (2) |
|
4.5 Pressure drop with surface enhancements |
|
|
268 | (2) |
|
|
270 | (1) |
|
|
271 | (1) |
|
|
271 | (2) |
|
|
273 | (6) |
|
Chapter 7 Experimental Evaluation of a Passive Thermosyphon Cooling System for Power Electronics |
|
|
279 | (42) |
|
|
|
|
279 | (3) |
|
2 Experimental Evaluation and Simulation of the Evaporator in Pump-Driven Tests |
|
|
282 | (24) |
|
|
282 | (3) |
|
|
285 | (1) |
|
|
285 | (1) |
|
2.2.2 Main loop and instrumentation |
|
|
286 | (1) |
|
|
287 | (1) |
|
2.3.1 Uncertainty propagation on the energy balance |
|
|
288 | (1) |
|
2.4 Experimental data in pump mode tests |
|
|
289 | (1) |
|
2.4.1 Single-phase flow data |
|
|
289 | (1) |
|
2.4.2 Two-phase flow data |
|
|
291 | (1) |
|
2.4.3 Comparison between refrigerant two-phase flow and water single-phase flow |
|
|
294 | (1) |
|
2.4.4 Two-phase flow data when varying the mass flux |
|
|
294 | (2) |
|
2.5 Predictive method for the evaporator thermal performance |
|
|
296 | (1) |
|
2.5.1 Estimation of the pressure drop in the outlet manifold |
|
|
304 | (1) |
|
|
304 | (2) |
|
3 Experimental Evaluation of the Condenser in Pump-Driven Tests |
|
|
306 | (2) |
|
|
306 | (1) |
|
3.2 Single-phase flow data |
|
|
306 | (2) |
|
|
308 | (1) |
|
4 Experimental Evaluation of the Thermosyphon System |
|
|
308 | (8) |
|
|
310 | (1) |
|
4.2 Hydraulic performance |
|
|
311 | (3) |
|
|
314 | (2) |
|
|
316 | (1) |
|
|
316 | (5) |
|
Chapter 8 Thermally Induced Oscillating Flow Inside a Single Capillary Tube: A Step towards the Understanding of the PHP Behavior |
|
|
321 | (34) |
|
|
|
|
|
321 | (2) |
|
2 Transport Phenomena in a "Unit-Cell": Qualitative Features |
|
|
323 | (4) |
|
3 Primary Experimental Oscillations Inside a Partially Transparent Unit-Cell System |
|
|
327 | (5) |
|
3.1 The first generation of the unit-cell experimental set-up |
|
|
327 | (1) |
|
3.2 Frequency and amplitude analyses for methanol and pentane |
|
|
328 | (2) |
|
|
330 | (2) |
|
4 A Fully Transparent Experiment to Observe and Analyze the Behavior of the Unit-Cell System |
|
|
332 | (19) |
|
4.1 The second generation of the unit-cell experiment |
|
|
332 | (3) |
|
|
335 | (1) |
|
4.3 Coupled dynamics of the liquid film evaporation and dynamics of the oscillations |
|
|
336 | (3) |
|
|
339 | (1) |
|
4.4.1 Estimation of the film thickness variation from experimental data |
|
|
339 | (1) |
|
4.4.2 Dynamics of the liquid film |
|
|
341 | (1) |
|
4.4.3 Influence of both tube and fluid properties |
|
|
345 | (1) |
|
4.4.4 Modeling of the unit-cell |
|
|
346 | (1) |
|
4.4.5 Pressure drops in oscillating flows |
|
|
349 | (1) |
|
|
350 | (1) |
|
|
351 | (1) |
|
|
351 | (4) |
|
|
355 | |
Encyclopedia of Two-phase Heat Transfer and Flow III: Volume 4-Special Boiling Topics |
|
|
|
v | |
|
About the Editor-in-Chief |
|
|
vii | |
|
|
ix | |
|
Chapter 1 Wettability Effect on Pool Boiling: A Review |
|
|
1 | (62) |
|
|
|
|
|
|
|
1 | (4) |
|
2 Wettability and Surface Topography |
|
|
5 | (4) |
|
3 Fundamentals of Bubble Nucleation: The Role of Wettability |
|
|
9 | (11) |
|
3.1 Nucleation, boiling onset and bubble dynamics |
|
|
9 | (9) |
|
3.2 Mutual bubble interactions |
|
|
18 | (2) |
|
4 Strategies to Alter Surface Wettability |
|
|
20 | (18) |
|
4.1 Modification of the liquid properties (surfactants addition and nanofluids) |
|
|
20 | (5) |
|
4.2 Modification of surface chemistry |
|
|
25 | (8) |
|
4.3 Modification of surface topography |
|
|
33 | (1) |
|
4.3.1 Surfaces with microporous |
|
|
36 | (1) |
|
4.3.2 Surfaces with free particles |
|
|
37 | (1) |
|
5 Theoretical Approaches Describing the Role of Wettability |
|
|
38 | (5) |
|
|
43 | (1) |
|
|
44 | (1) |
|
|
45 | (18) |
|
Chapter 2 How to Engineer Surfaces to Control and Optimize Boiling, Condensation and Frost Formation? |
|
|
63 | (96) |
|
|
|
|
|
|
|
|
|
|
|
64 | (1) |
|
2 Characterization of Phase Change Heat Transfer |
|
|
65 | (21) |
|
2.1 Characteristics of optimum surfaces for boiling heat transfer |
|
|
70 | (1) |
|
|
71 | (1) |
|
|
73 | (2) |
|
2.2 Characteristics of optimum surfaces for condensation heat transfer |
|
|
75 | (6) |
|
2.3 Characteristics of optimum surfaces for freezing and desublimation |
|
|
81 | (1) |
|
|
82 | (1) |
|
2.3.2 Desublimation/Frosting |
|
|
84 | (2) |
|
3 Fabrication of Textured Surfaces of Different Materials |
|
|
86 | (6) |
|
3.1 Traditional machining |
|
|
86 | (1) |
|
|
87 | (1) |
|
|
88 | (3) |
|
|
91 | (1) |
|
4 Wettability Engineering |
|
|
92 | (13) |
|
5 Review of Engineered Surfaces for Multiphase Flow Applications |
|
|
105 | (28) |
|
5.1 Engineered surfaces for boiling heat transfer |
|
|
105 | (10) |
|
5.2 Engineered surfaces for condensation heat transfer |
|
|
115 | (9) |
|
5.3 Engineered surfaces for applications with ice or frost |
|
|
124 | (9) |
|
|
133 | (3) |
|
|
136 | (1) |
|
|
137 | (22) |
|
Chapter 3 Regime-Based Analysis of Thermal Enhancement in Internally-Grooved Tubes |
|
|
159 | (92) |
|
|
|
|
159 | (4) |
|
1.1 Two-phase surface enhancements and internally-grooved tubes |
|
|
160 | (2) |
|
|
162 | (1) |
|
2 Two-Phase Flow Boiling Fundamentals |
|
|
163 | (7) |
|
2.1 Diabatic two-phase flow patterns and dependence on heat transfer |
|
|
164 | (2) |
|
2.2 Two-phase flow pattern maps |
|
|
166 | (2) |
|
2.3 Smooth tube regime-based heat transfer models |
|
|
168 | (2) |
|
3 Fundamental Studies of Flow Patterns and Heat Transfer in Internally-Grooved Tubes |
|
|
170 | (20) |
|
3.1 Flow regime quantification |
|
|
170 | (1) |
|
3.2 Studies on conventional internally-grooved tubes |
|
|
171 | (1) |
|
3.2.1 Flow regime transition mechanisms |
|
|
171 | (1) |
|
3.2.2 Halogenated fluids at standard pressure and temperature |
|
|
175 | (1) |
|
3.2.3 Geometric considerations |
|
|
182 | (1) |
|
3.2.4 Refrigerant/Oil Mixtures |
|
|
183 | (1) |
|
3.3 Studies on high reduced pressure |
|
|
183 | (1) |
|
3.4 Studies on small diameter internally-grooved tubes |
|
|
184 | (1) |
|
3.5 Flow regime maps and regime-inspired heat transfer coefficient correlations for internally-grooved tubes |
|
|
184 | (4) |
|
|
188 | (2) |
|
4 New Flow Regime Map and Heat Transfer Coefficient Correlation for Internally-Grooved Tubes |
|
|
190 | (17) |
|
4.1 Traditional Wojtan et al. flow regime map for smooth tubes |
|
|
190 | (4) |
|
4.2 Modified Sharar et al. flow regime map for internally-grooved tubes |
|
|
194 | (2) |
|
4.3 Traditional Wojtan et al. heat transfer coefficient correlation |
|
|
196 | (4) |
|
4.4 Modified Sharar and Bar-Cohen heat transfer coefficient correlation |
|
|
200 | (2) |
|
|
202 | (4) |
|
|
206 | (1) |
|
5 Two-Phase Data and Discussion |
|
|
207 | (31) |
|
5.1 Experimental setup and procedures |
|
|
208 | (1) |
|
5.1.1 Diabatic test sections and IR imaging |
|
|
208 | (1) |
|
5.1.2 Experimental ranges |
|
|
209 | (1) |
|
|
210 | (1) |
|
5.1.4 Total internal reflection flow regime quantification |
|
|
210 | (4) |
|
5.2 8.84 mm smooth and internally-grooved tubes |
|
|
214 | (1) |
|
5.2.1 Influence of mass flux and flow regime |
|
|
214 | (1) |
|
5.2.2 Influence of heat flux |
|
|
218 | (2) |
|
5.3 Tabulation of flow regime modeling results |
|
|
220 | (1) |
|
|
221 | (1) |
|
5.5 Statistical assessment of the heat transfer coefficient correlations |
|
|
222 | (1) |
|
|
223 | (1) |
|
5.5.2 Internally-grooved tubes |
|
|
226 | (4) |
|
5.6 Comparison to data from the literature |
|
|
230 | (1) |
|
|
230 | (1) |
|
5.6.2 Heat transfer coefficient data |
|
|
234 | (3) |
|
5.7 Applicability of the Sharar et al. model |
|
|
237 | (1) |
|
6 Conclusions and Future Work |
|
|
238 | (3) |
|
|
240 | (1) |
|
|
241 | (1) |
|
|
241 | (10) |
|
Chapter 4 Two-Phase Flow-Induced Vibrations in Tube Bundles Under Crossflow |
|
|
251 | (84) |
|
|
Leopoldo P.R. de Oliveira |
|
|
|
|
1 Introduction-The FIV Problem |
|
|
252 | (2) |
|
2 Two-Phase Flow Parameters |
|
|
254 | (8) |
|
2.1 Two-phase flow characterization |
|
|
254 | (1) |
|
|
255 | (5) |
|
|
260 | (2) |
|
|
262 | (41) |
|
3.1 Natural frequency and vibration mode shape |
|
|
262 | (1) |
|
|
264 | (1) |
|
3.1.2 Single span tube under axial force |
|
|
267 | (1) |
|
|
271 | (1) |
|
|
273 | (1) |
|
3.1.5 Boundary conditions for the U-tube problem |
|
|
277 | (1) |
|
3.1.6 Approximate solutions and common cases for the U-tube problem |
|
|
278 | (2) |
|
|
280 | (2) |
|
|
282 | (1) |
|
3.3.1 Damping ratio: General definitions |
|
|
283 | (1) |
|
|
286 | (1) |
|
|
291 | (1) |
|
3.3.4 Damping in two-phase flow |
|
|
295 | (1) |
|
3.3.5 TEMA design guidelines for damping |
|
|
300 | (2) |
|
3.4 Concluding remarks about dynamic parameters |
|
|
302 | (1) |
|
4 Vibration Excitation Mechanisms |
|
|
303 | (25) |
|
4.1 Fluid-elastic instability |
|
|
306 | (1) |
|
4.1.1 Mechanisms of fluid-elastic instability |
|
|
307 | (1) |
|
4.1.2 Fluid-elastic instability models |
|
|
316 | (1) |
|
4.1.3 Fluid-elastic instability in two-phase flow |
|
|
320 | (1) |
|
4.2 Turbulence-induced vibration |
|
|
321 | (1) |
|
4.2.1 Turbulence-induced vibration in single-phase flow: Design guidelines |
|
|
321 | (1) |
|
4.2.2 Turbulence-induced vibration in two-phase flow: Design guidelines |
|
|
325 | (3) |
|
|
328 | (1) |
|
|
329 | (6) |
|
Chapter 5 Two-Phase Thermal Management of Silicon Detectors for High Energy Physics |
|
|
335 | (72) |
|
|
|
|
1 Cooling Issues for Silicon Detectors in High Energy Physics |
|
|
335 | (12) |
|
1.1 Particle detectors at colliding accelerator beams |
|
|
336 | (1) |
|
|
337 | (3) |
|
1.3 Thermal management issues for silicon trackers |
|
|
340 | (2) |
|
|
342 | (1) |
|
|
342 | (1) |
|
1.4.2 Local thermal management |
|
|
343 | (4) |
|
2 CO2 Systems for Tracking Detectors |
|
|
347 | (35) |
|
2.1 Two-phase CO2 pumped loops |
|
|
347 | (1) |
|
2.1.1 Introduction to CO2 cooling for a silicon detector |
|
|
347 | (1) |
|
2.1.2 CO2 evaporative cooling |
|
|
348 | (1) |
|
2.1.3 2-phase accumulator controlled loop (2-PACL) introduction |
|
|
350 | (3) |
|
2.2 CO2 cooling system design |
|
|
353 | (1) |
|
|
353 | (1) |
|
|
354 | (1) |
|
2.2.3 Parallel flow design |
|
|
356 | (1) |
|
2.2.4 Inlet and outlet optimization |
|
|
358 | (1) |
|
2.2.5 Detector design optimization |
|
|
360 | (1) |
|
2.3 2PACL operation and design |
|
|
361 | (1) |
|
|
361 | (1) |
|
2.3.2 2PACL state-points in the pressure enthalpy diagram |
|
|
364 | (1) |
|
|
365 | (1) |
|
2.3.4 Two-phase accumulator |
|
|
366 | (1) |
|
2.3.5 Single-phase operation |
|
|
366 | (1) |
|
2.3.6 Accumulator geometrical design |
|
|
368 | (1) |
|
2.3.7 Carbon dioxide filling charge in an accumulator |
|
|
369 | (1) |
|
2.3.8 Accumulator sizing in the P-D diagram |
|
|
371 | (1) |
|
2.3.9 Accumulator as a storage vessel |
|
|
372 | (1) |
|
2.3.10 Accumulator as compensator |
|
|
373 | (1) |
|
2.3.11 2PACL system sizing |
|
|
375 | (1) |
|
2.3.12 Optimizing the accumulator volume |
|
|
376 | (1) |
|
2.3.13 CO2 transfer lines |
|
|
377 | (5) |
|
3 Silicon microchannel evaporators for pixel detector cooling |
|
|
382 | (25) |
|
3.1 Silicon microchannel devices manufacturing |
|
|
383 | (2) |
|
3.2 Design of a low-mass silicon microchannel evaporator |
|
|
385 | (4) |
|
3.3 Single-phase characterization |
|
|
389 | (1) |
|
|
390 | (4) |
|
3.5 Interconnection of silicon microchannel frames |
|
|
394 | (1) |
|
3.5.1 Fluidic connectors for microchannel devices |
|
|
394 | (1) |
|
3.5.2 Interconnected silicon frames for the thermal management of future vertex detector |
|
|
398 | (1) |
|
3.5.3 Single-phase characterization |
|
|
400 | (1) |
|
|
402 | (3) |
|
3.6 Silicon microstructured evaporators and CO2 |
|
|
405 | (2) |
|
|
407 | (1) |
|
|
407 | (6) |
|
|
413 | |