Preface |
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vii | |
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1 | (22) |
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1.1 Historical background |
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1 | (8) |
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1.1.1 Forces exerted by a fluid and the equation of motion |
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2 | (5) |
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7 | (2) |
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1.2 Terminology and nomenclature |
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9 | (6) |
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1.2.1 Common terms and definitions |
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10 | (1) |
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11 | (3) |
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11 | (1) |
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12 | (1) |
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13 | (1) |
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13 | (1) |
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1.2.3 Common abbreviations |
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14 | (1) |
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1.2.4 Dimensionless numbers (Lch=2α) |
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14 | (1) |
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1.3 Examples of applications in science and technology |
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15 | (8) |
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1.3.1 Oil and gas pipelines |
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16 | (1) |
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17 | (1) |
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1.3.3 Steam generation in boilers and burners |
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18 | (1) |
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18 | (1) |
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19 | (1) |
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20 | (1) |
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20 | (1) |
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1.3.8 Pneumatic conveying |
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21 | (1) |
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22 | (1) |
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2. Fundamental equations and characteristics of particles, bubbles and drops |
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23 | (40) |
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2.1 Fundamental equations of a continuum |
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23 | (18) |
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2.1.1 The concept of a material continuum - basic assumptions |
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24 | (3) |
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2.1.2 Fundamental equations in integral form |
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27 | (6) |
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2.1.3 Fundamental equations in differential form |
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33 | (3) |
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2.1.4 Generalized form of the fundamental equations |
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36 | (1) |
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2.1.5 Conservation equations at the interfaces - jump conditions |
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37 | (4) |
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2.2 Conservation equations for a single particle, bubble or drop |
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41 | (2) |
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2.3 Characteristics of particles, bubbles and drops |
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43 | (10) |
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2.3.1 Shapes of solid particles |
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44 | (4) |
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2.3.1.1 Symmetric particles |
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44 | (1) |
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2.3.1.2 Asymmetric or irregular particles |
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45 | (3) |
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2.3.2 Shapes of bubbles and drops in motion - shape maps |
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48 | (5) |
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2.4 Discrete and continuous size distributions |
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53 | (10) |
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2.4.1 Useful parameters in discrete size distributions |
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54 | (3) |
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2.4.2 Continuous size distributions |
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57 | (2) |
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2.4.3 Drop distribution functions |
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59 | (4) |
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3. Low Reynolds number flows |
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63 | (44) |
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3.1 Conservation equations |
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63 | (6) |
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3.1.1 Heat-mass transfer analogy |
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65 | (1) |
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3.1.2 Mass, momentum and heat transfer - Transport coefficients |
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66 | (3) |
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3.2 Steady motion and heat/mass transfer at creeping flow |
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69 | (5) |
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3.3 Transient, creeping flow motion |
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74 | (11) |
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3.3.1 Notes on the history term |
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76 | (4) |
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3.3.2 Hydrodynamic force on a viscous sphere |
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80 | (1) |
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3.3.3 Equation of motion with interfacial slip |
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81 | (3) |
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3.3.4 Transient motion of an expanding or collapsing bubble |
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84 | (1) |
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3.4 Transient heat/mass transfer at creeping flow |
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85 | (4) |
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3.5 Hydrodynamic force and heat transfer for a spheroid at creeping flow |
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89 | (4) |
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3.6 Steady motion and heat/mass transfer at small Re and Pe |
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93 | (3) |
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3.7 Transient hydrodynamic force at small Re |
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96 | (6) |
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3.8 Transient heat/mass transfer at small Pe |
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102 | (5) |
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4 High Reynolds number flows |
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107 | (50) |
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4.1 Flow fields around rigid and fluid spheres |
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107 | (11) |
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4.1.1 Flow around rigid spheres |
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107 | (7) |
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4.1.2 Flow inside and around viscous spheres |
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114 | (4) |
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4.2 Steady hydrodynamic force and heat transfer |
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118 | (26) |
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4.2.1 Drag on rigid spheres |
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118 | (3) |
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4.2.2 Heat transfer from rigid sphere |
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121 | (1) |
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122 | (2) |
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4.2.4 Drag on viscous spheres |
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124 | (4) |
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4.2.5 Heat transfer from viscous spheres |
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128 | (5) |
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4.2.6 Drag on viscous spheres with mass transfer - Blowing effects |
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133 | (3) |
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4.2.7 Heat transfer from viscous spheres with mass transfer – Blowing effects |
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136 | (5) |
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4.2.8 Effects of compressibility and rarefaction |
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141 | (3) |
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4.3 Transient hydrodynamic force |
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144 | (7) |
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4.4 Transient heat transfer |
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151 | (6) |
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4.4.1 Transient temperature measurements |
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155 | (2) |
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5. Non-spherical particles, bubbles and drops |
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157 | (34) |
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5.1 Transport coefficients of rigid particles at low Re |
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157 | (8) |
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5.1.1 Hydrodynamic force and drag coefficients |
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158 | (3) |
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5.1.2 Heat and mass transfer coefficients |
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161 | (4) |
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5.2 Hydrodynamic force for rigid particles at high Re |
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165 | (10) |
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5.2.1 Drag coefficients for disks and spheroids |
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165 | (3) |
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5.2.2 Drag coefficients and flow patterns around cylinders |
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168 | (4) |
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5.2.3 Drag coefficients of irregular particles |
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172 | (3) |
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5.3 Heat transfer for rigid particles at high Re |
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175 | (6) |
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5.3.1 Heat transfer coefficients for disks and spheroids |
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175 | (2) |
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5.3.2 Heat transfer coefficients for cylinders |
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177 | (2) |
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5.3.3 Heat transfer coefficients for irregular particles |
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179 | (2) |
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5.4 Non-spherical bubbles and drops |
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181 | (10) |
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181 | (9) |
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5.4.2 Heat transfer coefficients |
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190 | (1) |
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6. Effects of rotation, shear and boundaries |
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191 | (36) |
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6.1 Effects of relative rotation |
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192 | (3) |
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6.2 Effects of flow shear |
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195 | (7) |
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6.3 Effects of boundaries |
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202 | (11) |
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6.3.1 Main flow perpendicular to the boundary |
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203 | (2) |
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6.3.2 Main flow parallel to the boundary |
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205 | (6) |
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6.3.3 Equilibrium positions of spheres above horizontal boundaries |
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211 | (2) |
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6.4 Constrained motion in an enclosure |
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213 | (9) |
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213 | (4) |
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217 | (1) |
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6.4.3 Immersed objects at off-center positions |
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218 | (1) |
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219 | (2) |
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6.4.5 Effects of enclosures on the heat and mass transfer |
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221 | (1) |
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6.5 Effects of boundaries on bubble and drop deformation |
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222 | (3) |
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6.6 A note on the lift force in transient flows |
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225 | (2) |
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227 | (34) |
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7.1 Effects of free stream turbulence |
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227 | (5) |
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7.2 Turbulence modulation |
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232 | (6) |
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238 | (4) |
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7.4 Turbulence models for immersed objects |
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242 | (12) |
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7.4.1 The trajectory model |
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242 | (1) |
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7.4.2 The Monte-Carlo method |
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243 | (8) |
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7.4.3 The two-fluid model |
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251 | (3) |
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7.5 Heat transfer in pipelines with particulates |
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254 | (2) |
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7.6 Turbophoresis and wall deposition |
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256 | (4) |
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7.7 Turbulence and coalescence of viscous spheres |
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260 | (1) |
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8. Electro-kinetic, thermo-kinetic and porosity effects |
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261 | (28) |
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261 | (9) |
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8.1.1 Electrophoretic motion |
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262 | (2) |
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264 | (1) |
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8.1.3 Effects of the double layer on the electrophoretic motion |
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265 | (3) |
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8.1.4 Electrophoresis in capillaries-microelectrophoresis |
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268 | (2) |
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270 | (2) |
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272 | (10) |
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8.3.1 Particle interactions and wall effects in thermophoresis |
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278 | (2) |
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8.3.2 Thermophoresis in turbulent flows |
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280 | (2) |
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282 | (7) |
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8.4.1 Surface boundary conditions |
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283 | (1) |
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8.4.2 Drag force on a porous sphere at low Re |
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284 | (1) |
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8.4.3 Heat transfer from porous particles |
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285 | (1) |
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8.4.4 Mass transfer from an object inside a porous medium |
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286 | (3) |
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9. Effects of higher concentration and collisions |
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289 | (36) |
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9.1 Interactions between dispersed objects |
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289 | (8) |
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9.1.1 Hydrodynamic interactions |
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290 | (6) |
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9.1.2 Thermal interactions and phase change |
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296 | (1) |
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9.2 Effects of concentration |
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297 | (10) |
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9.2.1 Effects on the hydrodynamic force |
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298 | (8) |
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9.2.2 Effects on the heat transfer |
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306 | (1) |
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307 | (1) |
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9.3 Collisions of spheres |
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307 | (9) |
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308 | (3) |
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311 | (1) |
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9.3.3 Drop collisions and coalescence |
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312 | (4) |
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9.4 Collisions with a wall – Mechanical effects |
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316 | (2) |
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9.5 Heat transfer during wall collisions |
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318 | (7) |
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319 | (3) |
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9.5.2 Cooling enhancement by drop impingement |
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322 | (1) |
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9.5.3 Critical heat flux with drops |
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323 | (2) |
10. Molecular and statistical modeling |
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325 | (18) |
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325 | (8) |
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10.1.1 MD applications with particles, bubbles and drops |
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331 | (2) |
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333 | (4) |
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337 | (8) |
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10.3.1 The probability distribution function (PDF) |
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338 | (5) |
11. Numerical methods-CFD |
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343 | (30) |
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11.1 Forms of Navier-Stokes equations used in CFD |
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345 | (3) |
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11.1.1 Primitive variables |
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345 | (1) |
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11.1.2 Streamfunction-vorticity |
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346 | (1) |
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347 | (1) |
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11.2 Finite difference method |
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348 | (2) |
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11.3 Spectral and finite-element methods |
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350 | (4) |
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11.3.1 The spectral method |
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350 | (1) |
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11.3.2 The finite element and finite volume methods |
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351 | (3) |
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11.4 The Lattice-Boltzmann method |
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354 | (5) |
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11.5 The force coupling method |
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359 | (1) |
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11.6 Turbulent flow models |
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360 | (10) |
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11.6.1 Direct numerical simulations (DNS) |
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360 | (4) |
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11.6.2 Reynolds decomposition and averaged equations |
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364 | (1) |
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11.6.3 The kappa-epsilon model |
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365 | (2) |
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11.6.4 Large Eddy simulations (LES) |
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367 | (3) |
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11.7 Potential flow-boundary integral method |
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370 | (3) |
References |
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373 | (34) |
Subject Index |
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407 | |