|
|
xi | |
|
|
xvii | |
Preface |
|
xix | |
Authors |
|
xxi | |
|
Section I Background and Theory |
|
|
|
|
3 | (36) |
|
1.1 Review of Relevant Thermodynamics |
|
|
5 | (17) |
|
1.1.1 Differentials in thermodynamics |
|
|
6 | (1) |
|
1.1.2 The four laws of thermodynamics |
|
|
7 | (1) |
|
1.1.2.1 The first law of thermodynamics |
|
|
7 | (1) |
|
1.1.2.2 The second law of thermodynamics |
|
|
8 | (1) |
|
1.1.2.3 The third law of thermodynamics |
|
|
8 | (1) |
|
1.1.2.4 The zero-th law of thermodynamics |
|
|
9 | (1) |
|
1.1.3 The fundamental thermodynamic relation |
|
|
9 | (1) |
|
|
10 | (1) |
|
|
10 | (2) |
|
|
12 | (1) |
|
|
12 | (3) |
|
1.1.8 Enthalpy and entropy |
|
|
15 | (1) |
|
|
16 | (3) |
|
1.1.10 Chemical potential |
|
|
19 | (1) |
|
|
20 | (2) |
|
1.2 Quantum Effects At Low Temperature |
|
|
22 | (7) |
|
|
25 | (2) |
|
|
27 | (2) |
|
|
29 | (3) |
|
|
30 | (1) |
|
|
31 | (1) |
|
1.3.3 Transport properties: heat transfer of ideal gas |
|
|
31 | (1) |
|
1.4 Material Properties At Low Temperature |
|
|
32 | (7) |
|
1.4.1 Mechanical properties |
|
|
33 | (1) |
|
|
34 | (5) |
|
|
39 | (22) |
|
2.1 Mechanisms of Heat Transfer |
|
|
39 | (9) |
|
|
39 | (2) |
|
|
41 | (1) |
|
|
42 | (3) |
|
|
45 | (3) |
|
2.2 Theory and Design of Gas Heat Switches |
|
|
48 | (13) |
|
2.2.1 Thermal conduction of helium gas |
|
|
48 | (3) |
|
2.2.2 Gas-gap heat switches |
|
|
51 | (3) |
|
2.2.3 Convective heat switches |
|
|
54 | (7) |
|
Chapter 3 Sorption Cryopumps |
|
|
61 | (14) |
|
3.1 Principles of Physisorption |
|
|
62 | (7) |
|
3.1.1 Van der Waals forces and the Lennard-Jones potential |
|
|
62 | (2) |
|
3.1.2 Physisorption theory |
|
|
64 | (5) |
|
|
69 | (6) |
|
|
70 | (5) |
|
|
|
Chapter 4 Miniature Sorption Coolers - Part 1 |
|
|
75 | (38) |
|
4.1 Adiabatic Liquefaction |
|
|
75 | (3) |
|
4.2 General Principles of Operation |
|
|
78 | (15) |
|
|
79 | (1) |
|
|
80 | (3) |
|
|
83 | (1) |
|
|
83 | (4) |
|
|
87 | (1) |
|
4.2.6 Operation of a single-stage closed-cycle sorption fridge |
|
|
88 | (2) |
|
|
90 | (1) |
|
|
91 | (2) |
|
|
93 | (4) |
|
4.3.1 Superfluid film breaker |
|
|
94 | (3) |
|
|
97 | (1) |
|
|
98 | (3) |
|
|
101 | (3) |
|
4.6.1 Passive and active convective switched stage |
|
|
101 | (3) |
|
4.6.2 Continuous stage with switched condenser |
|
|
104 | (1) |
|
4.7 Design Process for A Single-Stage 3He Cooler |
|
|
104 | (4) |
|
4.7.1 Mechanical constraints |
|
|
105 | (2) |
|
4.7.2 Cryogenics constraints |
|
|
107 | (1) |
|
4.8 Design Process for A Double-Stage 4He-3He Cooler |
|
|
108 | (5) |
|
Chapter 5 Miniature Sorption Coolers - Part 2 |
|
|
113 | (60) |
|
5.1 Introduction To Dilution Refrigeration Theory |
|
|
113 | (11) |
|
5.1.1 Physics of 3He and 4He mixtures |
|
|
115 | (1) |
|
5.1.2 Principle of operation of a dilution refrigerator |
|
|
116 | (8) |
|
5.1.3 Application to miniature dilution refrigerators |
|
|
124 | (1) |
|
5.2 Design of A Condensation Pumped 100 Mk System |
|
|
124 | (20) |
|
5.2.1 The continuous heat exchanger |
|
|
129 | (3) |
|
5.2.2 Design considerations for a condensation pumped dilution refrigerator |
|
|
132 | (1) |
|
5.2.3 Other condensation pumped dilution refrigerator designs |
|
|
133 | (1) |
|
5.2.3.1 Quasi-single shot design |
|
|
133 | (4) |
|
5.2.3.2 A continuously operated dilution system |
|
|
137 | (2) |
|
5.2.3.3 Dilution refrigerators with charcoal pumps - I |
|
|
139 | (1) |
|
5.2.3.4 Dilution refrigerators with charcoal pumps - II |
|
|
139 | (3) |
|
5.2.3.5 Dilution refrigerators with charcoal pumps - III |
|
|
142 | (2) |
|
5.3 Single-Shot 100 Mk Systems |
|
|
144 | (10) |
|
5.3.1 Single-shot system - I |
|
|
146 | (1) |
|
5.3.2 Single-shot system - II |
|
|
146 | (2) |
|
5.3.3 The physics of the single-shot dilution systems |
|
|
148 | (4) |
|
5.3.4 Improving the SSDS design |
|
|
152 | (2) |
|
5.4 Dilution Refrigerators With Circulating 4He |
|
|
154 | (10) |
|
5.4.1 Superfluid 4He pump |
|
|
154 | (6) |
|
5.4.2 Leiden refrigerator - I |
|
|
160 | (2) |
|
5.4.3 Leiden refrigerator - II |
|
|
162 | (2) |
|
5.5 Zero Gravity Dilution Refrigerators |
|
|
164 | (9) |
|
5.5.1 Planck's open cycle |
|
|
164 | (3) |
|
|
167 | (6) |
|
|
|
Chapter 6 Thermal Modeling |
|
|
173 | (10) |
|
6.1 Cooldown Modeling Approach |
|
|
173 | (3) |
|
|
176 | (2) |
|
|
176 | (1) |
|
|
177 | (1) |
|
|
178 | (5) |
|
Appendix A Helium Properties |
|
|
183 | (14) |
|
|
184 | (2) |
|
|
186 | (2) |
|
|
188 | (9) |
|
|
188 | (4) |
|
|
192 | (5) |
|
|
197 | (12) |
|
|
197 | (2) |
|
B.2 3He Fridge Design Code |
|
|
199 | (4) |
|
B.3 Cryostat Cooldown Code |
|
|
203 | (6) |
Bibliography |
|
209 | (8) |
Index |
|
217 | |