Preface |
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iii | |
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1 Morphology of Cavitation |
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1 | (42) |
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1.1 Cavitation vs. boiling |
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1 | (9) |
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1 | (1) |
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1.1.2 Inside a thermodynamic diagram |
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2 | (4) |
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1.1.3 The dynamic of phase transition |
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6 | (2) |
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1.1.4 What pressure is required for cavitation? |
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8 | (1) |
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1.1.5 Final comparison between boiling and cavitation |
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9 | (1) |
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1.2 Cavitation in domestic conditions |
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10 | (11) |
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1.2.1 Cavitation in a syringe |
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10 | (6) |
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1.2.2 Cavitation in a bottle |
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16 | (2) |
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18 | (3) |
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1.3 Cavitation in technological devices |
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21 | (3) |
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1.3.1 The origin of cavitation |
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21 | (1) |
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1.3.2 The process of cavitation |
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22 | (1) |
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1.3.3 Results of cavitation |
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23 | (1) |
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1.4 The destructive force of cavitation |
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24 | (7) |
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1.4.1 Types of destruction |
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24 | (1) |
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25 | (2) |
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1.4.3 The general mechanism of the impact of cavitation on a surface |
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27 | (1) |
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27 | (1) |
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1.4.5 The Sayano-Shushenskaya accident |
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28 | (3) |
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1.5 Where can cavitation be used? |
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31 | (5) |
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1.5.1 Useful features of cavitation |
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31 | (1) |
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32 | (1) |
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33 | (1) |
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1.5.4 Ultrasonic medicine and cosmetology |
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34 | (1) |
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35 | (1) |
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1.6 Physical problems in cavitation |
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36 | (5) |
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1.6.1 What does an ordinary human expect from a scientist? |
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36 | (1) |
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1.6.2 Complexity of cavitation |
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37 | (1) |
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38 | (1) |
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1.6.4 Hydrodynamics of cavitation |
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39 | (1) |
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39 | (1) |
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39 | (1) |
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40 | (1) |
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40 | (1) |
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40 | (1) |
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41 | (1) |
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42 | (1) |
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2 Cavitation in Engineering |
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43 | (24) |
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43 | (6) |
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2.1.1 Cavitation number: General approach |
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43 | (3) |
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2.1.2 The pressure loss in pipes |
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46 | (1) |
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47 | (1) |
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2.1.4 Final thoughts on the cavitation number |
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48 | (1) |
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49 | (6) |
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49 | (1) |
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2.2.2 Qualitative analysis of cavitation on a wing |
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50 | (1) |
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2.2.3 Physical description of cavitation on a wing |
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51 | (3) |
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2.2.4 Cavitation on rotating wheels |
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54 | (1) |
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55 | (5) |
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55 | (1) |
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2.3.2 Pressure head at a suction line |
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55 | (3) |
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2.3.3 Net positive suction head |
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58 | (1) |
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59 | (1) |
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2.3.5 Thoma's cavitation factor |
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60 | (1) |
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60 | (5) |
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2.4.1 Erosion vs. evaporation |
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60 | (1) |
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2.4.2 Schemes of cavitation erosion treatments |
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61 | (2) |
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2.4.3 Mechanisms of impact |
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63 | (1) |
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2.4.4 Increase in hydrodynamic resistance |
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63 | (1) |
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2.4.5 Abnormal modes of operation |
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64 | (1) |
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65 | (1) |
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66 | (1) |
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3 Pressure: Positive and Negative |
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67 | (28) |
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67 | (8) |
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3.1.1 Pressure at first glance |
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67 | (1) |
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68 | (1) |
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3.1.3 Saturation pressure |
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68 | (1) |
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3.1.4 Pressure at microlevel |
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69 | (1) |
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3.1.5 Negative pressure as it is |
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70 | (1) |
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71 | (2) |
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3.1.7 How to reach negative pressure |
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73 | (2) |
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3.2 The Laplace condition |
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75 | (7) |
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75 | (2) |
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3.2.2 The Laplace equation in hydrodynamics |
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77 | (1) |
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3.2.3 The Laplace equation in mechanics |
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78 | (2) |
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3.2.4 Some notes on surface tension |
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80 | (2) |
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82 | (10) |
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82 | (2) |
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3.3.2 Soft rupture: The role of nucleation |
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84 | (2) |
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3.3.3 Thermodynamics of rupture |
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86 | (3) |
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3.3.4 Numerical experiment: Theory |
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89 | (2) |
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3.3.5 Numerical simulation results |
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91 | (1) |
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92 | (1) |
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93 | (2) |
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4 Hydrodynamics of Cavitation |
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95 | (54) |
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4.1 The hydrodynamic description of irrotational flow |
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95 | (10) |
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95 | (2) |
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4.1.2 Notes about complex numbers |
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97 | (1) |
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4.1.3 The hodograph of velocity |
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97 | (1) |
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4.1.4 Electro-hydrodynamic analogy |
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98 | (3) |
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4.1.5 The dynamics of the cavitation cavern: What we have to deal with |
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101 | (1) |
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4.1.6 Example: The collapse of a cavity near a solid wall |
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102 | (3) |
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4.2 The problem of a flow past a body |
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105 | (4) |
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4.2.1 Physical formulations |
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105 | (1) |
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4.2.2 Mathematical apparatus |
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106 | (1) |
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4.2.3 The simplest consideration: A non-cavitating flow |
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106 | (3) |
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4.3 The cavitating flow around a body |
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109 | (14) |
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4.3.1 Initial assumptions |
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109 | (1) |
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4.3.2 Boundary conditions |
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110 | (1) |
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4.3.3 The flow past a plate |
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111 | (6) |
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4.3.4 The model forms of the cavitation cavern |
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117 | (2) |
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4.3.5 The integral methods |
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119 | (2) |
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4.3.6 The partial cavitation |
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121 | (1) |
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122 | (1) |
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4.4 Cavitation diagrams: Theory of reconstruction |
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123 | (5) |
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123 | (1) |
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124 | (3) |
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4.4.3 The cavitation functions |
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127 | (1) |
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4.5 Waves and instabilities at a liquid-gas interface |
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128 | (18) |
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128 | (1) |
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129 | (3) |
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132 | (1) |
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4.5.4 Long gravitational waves in a shallow fluid |
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133 | (2) |
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4.5.5 Gravitational-capillary waves |
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135 | (2) |
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137 | (2) |
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4.5.7 The Helmholtz--Kelvin instability |
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139 | (3) |
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4.5.8 Common case. The Rayleigh--Taylor instability |
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142 | (4) |
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146 | (1) |
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147 | (2) |
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149 | (42) |
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5.1 What is a hydraulic shock? |
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149 | (8) |
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5.1.1 Common physical nature of hydraulic shock |
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149 | (1) |
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5.1.2 Hydraulic shock in pipes |
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149 | (4) |
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5.1.3 Water hammer from the technical point of view |
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153 | (2) |
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5.1.4 Cavitation during water hammer |
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155 | (1) |
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5.1.5 Hydraulic shock from a jet |
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155 | (2) |
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5.2 Shock waves in a liquid |
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157 | (16) |
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5.2.1 Shock wave: Definition |
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157 | (2) |
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5.2.2 Two views on the adiabatic exponent |
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159 | (2) |
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5.2.3 Two views on the speed of sound |
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161 | (3) |
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5.2.4 Shock wave in a perfect gas |
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164 | (2) |
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5.2.5 Shock wave of decompression |
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166 | (1) |
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5.2.6 Shock wave in a condensed medium |
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167 | (5) |
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5.2.7 Cavitation in a droplet |
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172 | (1) |
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173 | (6) |
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173 | (1) |
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5.3.2 The mechanics of continuous media |
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174 | (1) |
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5.3.3 Fluidity and elasticity: The traditional way |
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175 | (1) |
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5.3.4 The fractional derivative |
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176 | (1) |
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5.3.5 The solidity of a fluid |
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177 | (1) |
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5.3.6 The fluidity of a solid |
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178 | (1) |
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5.4 The effects of a fluid on a solid surface |
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179 | (8) |
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179 | (2) |
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5.4.2 Cavitation erosion: What we see... |
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181 | (1) |
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181 | (1) |
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5.4.4 Mechanical sources of damage: Bubbles |
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182 | (1) |
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5.4.5 The effect of microjets |
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183 | (2) |
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5.4.6 Electrical discharges |
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185 | (1) |
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186 | (1) |
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187 | (1) |
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188 | (3) |
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191 | (35) |
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191 | (11) |
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191 | (4) |
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6.1.2 Origin of sound: Transducers |
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195 | (4) |
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6.1.3 Sound reflection and focusing |
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199 | (3) |
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202 | (4) |
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6.2.1 Cavitation of a single bubble |
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202 | (1) |
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6.2.2 Cavitation of many bubbles |
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203 | (3) |
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6.3 Cavitation of a single bubble |
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206 | (8) |
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6.3.1 Bubble oscillations: Overview |
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206 | (2) |
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6.3.2 Bubble oscillations: Certain experimental view |
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208 | (3) |
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6.3.3 Oscillations of bubble's shape |
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211 | (3) |
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6.4 Multibubble cavitation |
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214 | (5) |
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214 | (1) |
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6.4.2 Foam on a waveguide |
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214 | (3) |
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6.4.3 The Bjerknes effect: Observation |
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217 | (2) |
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6.4.4 Temperature of a liquid |
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219 | (1) |
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219 | (4) |
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6.5.1 Pressure and temperature |
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219 | (1) |
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6.5.2 Heterogeneous catalysis |
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220 | (1) |
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221 | (1) |
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221 | (2) |
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6.5.5 Sonochemical efficiency |
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223 | (1) |
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223 | (1) |
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224 | (2) |
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7 Dynamics of a Cavitating Bubble |
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226 | (53) |
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7.1 The common problem of dynamics of a cavern in a liquid |
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226 | (6) |
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7.1.1 Dynamics of a void in a liquid |
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226 | (2) |
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7.1.2 Hydrodynamic description |
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228 | (2) |
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7.1.3 Boundary conditions |
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230 | (1) |
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7.1.4 Numerical simulation of a bubble in a liquid |
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231 | (1) |
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7.2 The Rayleigh equation |
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232 | (4) |
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7.2.1 Derivation from a simple consideration |
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232 | (2) |
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7.2.2 Derivation from hydrodynamics |
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234 | (1) |
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7.2.3 Modifications of the Rayleigh equation |
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235 | (1) |
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7.3 The boundary conditions for a bubble in a liquid |
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236 | (8) |
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7.3.1 Pressure and temperature inside a bubble |
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236 | (5) |
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7.3.2 Mass flux at the bubble surface |
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241 | (2) |
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7.3.3 Flows in a bubble and in a liquid |
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243 | (1) |
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7.4 Analytical solutions of the Rayleigh equation |
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244 | (24) |
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244 | (2) |
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7.4.2 Exact analytical solution for adiabatic conditions (autonomous equation) |
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246 | (3) |
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7.4.3 Dynamics of a cavitating bubble: An example |
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249 | (5) |
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7.4.4 The generalized solution for arbitrary Δp(R) |
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254 | (1) |
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7.4.5 Isothermal growth of a bubble |
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254 | (4) |
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7.4.6 The bubble collapse |
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258 | (1) |
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7.4.7 The pressure around a collapsing bubble of vapor |
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259 | (2) |
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7.4.8 The effect of surface tension |
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261 | (1) |
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7.4.9 The pressure around an oscillating bubble of gas |
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262 | (2) |
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7.4.10 The Bjerknes effect: Explanation |
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264 | (2) |
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7.4.11 Addition: Notes about stable points on a plane |
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266 | (2) |
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268 | (7) |
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7.5.1 Non-autonomous systems |
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268 | (2) |
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7.5.2 Oscillations in an ultrasonic field |
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270 | (2) |
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7.5.3 Numerical solution technique |
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272 | (1) |
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273 | (2) |
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7.5.5 Temperature variation in a collapsing bubble |
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275 | (1) |
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275 | (2) |
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277 | (2) |
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8 Electrization of Liquids |
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279 | (48) |
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279 | (11) |
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8.1.1 Feel like an ancient Greek |
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279 | (3) |
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8.1.2 The quantum mechanics formalism |
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282 | (2) |
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8.1.3 Electrons in a condensed medium |
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284 | (3) |
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8.1.4 Electrons beyond a condensed medium |
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287 | (2) |
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289 | (1) |
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290 | (10) |
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8.2.1 The charge carriers in a gas inside a liquid |
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290 | (2) |
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8.2.2 Dynamics of charge carriers in the bulk of a medium |
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292 | (2) |
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8.2.3 Charge carriers near a metal surface |
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294 | (1) |
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8.2.4 Formation of a double layer |
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295 | (1) |
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8.2.5 Electrostatic potential |
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296 | (3) |
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8.2.6 Double layer and triboelectricity |
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299 | (1) |
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8.3 Electrokinetic effects |
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300 | (3) |
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8.3.1 The list of effects |
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300 | (1) |
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301 | (1) |
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8.3.3 Interaction of charged macroparticles in a charged medium |
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302 | (1) |
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8.4 Cavitation accompanied by electrization |
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303 | (8) |
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8.4.1 Ultrasonic cavitation |
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303 | (4) |
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8.4.2 Flow in a narrow channel |
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307 | (4) |
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311 | (13) |
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311 | (3) |
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314 | (2) |
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8.5.3 Plasma spectrometry |
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316 | (4) |
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320 | (4) |
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324 | (1) |
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324 | (3) |
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9 Cavitation and Light Emission |
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327 | (35) |
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327 | (6) |
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9.1.1 The mysterious light |
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327 | (2) |
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9.1.2 Single-bubble sonoluminescence |
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329 | (1) |
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9.1.3 Multi-bubble sonoluminescence |
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330 | (2) |
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9.1.4 Comparison between single- and multi-bubble sonoluminescence |
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332 | (1) |
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333 | (8) |
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333 | (1) |
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9.2.2 Hydrodynamic luminescence |
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334 | (1) |
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9.2.3 Glow of water and oil |
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335 | (3) |
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338 | (1) |
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9.2.5 Comparison of sonoluminescence and hydroluminescence |
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339 | (2) |
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9.3 Other methods to produce light from a liquid |
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341 | (6) |
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9.3.1 A bullet in a liquid |
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341 | (1) |
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342 | (1) |
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9.3.3 Radiation emission from an external flow |
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342 | (1) |
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9.3.4 Some notes about radiation dosimetry |
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343 | (4) |
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9.4 Possible physical nature of light emission |
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347 | (10) |
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9.4.1 Common properties of particular theories |
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347 | (1) |
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347 | (3) |
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350 | (2) |
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9.4.4 The electric hypothesis |
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352 | (3) |
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355 | (1) |
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356 | (1) |
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357 | (1) |
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358 | (4) |
Conclusion |
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362 | (3) |
Appendix A Thermodynamics in brief |
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365 | (8) |
Appendix B Hydrodynamics in brief |
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373 | (6) |
Index |
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379 | |