1 Thermodynamics and Evolution |
|
1 | (22) |
|
|
1 | (3) |
|
1.1.1 Statics and Dynamics |
|
|
3 | (1) |
|
|
4 | (2) |
|
1.3 Introduction to Continuum Mechanics |
|
|
6 | (4) |
|
|
7 | (2) |
|
|
9 | (1) |
|
1.4 Convection and Diffusion |
|
|
10 | (4) |
|
|
11 | (1) |
|
1.4.2 Diffusive Fluxes and Constitutive Relations |
|
|
12 | (2) |
|
|
14 | (2) |
|
|
16 | (1) |
|
1.7 Molecular Diffusivity |
|
|
17 | (1) |
|
1.8 Molecular Diffusion as an Example of Random Walk |
|
|
18 | (2) |
|
1.9 Examples of Diffusive Processes |
|
|
20 | (1) |
|
|
21 | (2) |
2 Statics of Fluids |
|
23 | (16) |
|
2.1 Hydrostatic Equilibrium |
|
|
23 | (2) |
|
2.1.1 Incompressible Fluids |
|
|
24 | (1) |
|
|
25 | (1) |
|
|
25 | (2) |
|
|
27 | (2) |
|
2.4 The Young-Laplace Equation |
|
|
29 | (4) |
|
2.4.1 Thermodynamic Approach |
|
|
30 | (1) |
|
2.4.2 Mechanical Approach |
|
|
31 | (2) |
|
|
33 | (2) |
|
|
35 | (4) |
3 General Features of Fluid Mechanics |
|
39 | (10) |
|
|
39 | (1) |
|
|
40 | (2) |
|
3.3 Boundary Layer and Viscous Resistance |
|
|
42 | (3) |
|
|
45 | (1) |
|
|
46 | (2) |
|
|
48 | (1) |
4 Macroscopic Balances |
|
49 | (26) |
|
4.1 Mass Balance and Continuity Equation |
|
|
49 | (2) |
|
4.2 Mechanical Energy Balance and Bernoulli Equation |
|
|
51 | (5) |
|
4.2.1 Example: The Pitot Tube |
|
|
52 | (1) |
|
4.2.2 Generalization of the Bernoulli Equation |
|
|
53 | (3) |
|
|
56 | (1) |
|
4.4 Recapitulation of the Bernoulli Equation |
|
|
57 | (3) |
|
4.4.1 Effect of the Non-Uniformity of the Velocity Field |
|
|
58 | (1) |
|
4.4.2 Effect of the Friction Forces |
|
|
59 | (1) |
|
4.4.3 Effect of Pumps and Turbines |
|
|
59 | (1) |
|
4.5 Pressure Drops in Pipe Flow |
|
|
60 | (4) |
|
4.5.1 Fanning vs. Darcy Friction Factor |
|
|
61 | (3) |
|
4.6 Localized Pressure Drops |
|
|
64 | (2) |
|
4.6.1 Example: Flow Through a Sudden Enlargement |
|
|
65 | (1) |
|
4.7 Flow Around a Submerged Object |
|
|
66 | (2) |
|
|
68 | (7) |
5 Laminar Flow Fields |
|
75 | (22) |
|
5.1 Fully Developed Flow of a Newtonian Fluid in a Pipe |
|
|
75 | (3) |
|
5.1.1 Thermodynamic and Modified Pressure |
|
|
78 | (1) |
|
|
78 | (1) |
|
|
78 | (3) |
|
5.2.1 Time-Dependent Rheology |
|
|
80 | (1) |
|
5.3 Flow of Non-Newtonian Fluids in Circular Pipes |
|
|
81 | (3) |
|
|
84 | (6) |
|
5.4.1 Packed Beds and Fluidized Beds |
|
|
87 | (2) |
|
|
89 | (1) |
|
5.5 Quasi Steady Fluid Flows |
|
|
90 | (2) |
|
|
92 | (1) |
|
|
93 | (4) |
6 The Governing Equations of a Simple Fluid |
|
97 | (20) |
|
6.1 General Microscopic Balance Equation |
|
|
97 | (2) |
|
6.2 Mass Balance: The Continuity Equation |
|
|
99 | (3) |
|
6.3 Momentum Balance: Cauchy's Equation |
|
|
102 | (3) |
|
6.4 Angular Momentum Balance |
|
|
105 | (1) |
|
6.5 The Constitutive Equation for Newtonian Fluids |
|
|
106 | (2) |
|
|
108 | (5) |
|
6.6.1 Temperature Dependence of the Energy Equation |
|
|
112 | (1) |
|
6.7 Governing Equations for Incompressible Flow of Newtonian Fluids |
|
|
113 | (3) |
|
|
116 | (1) |
7 Unidirectional Flows |
|
117 | (20) |
|
7.1 Flow in Pipes and Channels |
|
|
117 | (4) |
|
7.1.1 Falling Cylinder Viscometer |
|
|
119 | (2) |
|
7.2 Parallel Plates Viscometer |
|
|
121 | (1) |
|
7.3 Radial Flux Between Two Parallel Disks |
|
|
122 | (2) |
|
7.4 Fluid Flow Due to the Rapid Movement of a Wall |
|
|
124 | (4) |
|
7.5 Lubrication Approximation |
|
|
128 | (3) |
|
7.6 Drainage of a Liquid Film from a Vertical Plate |
|
|
131 | (2) |
|
|
133 | (3) |
|
|
136 | (1) |
8 Laminar Boundary Layer |
|
137 | (18) |
|
8.1 Scaling of the Problem |
|
|
137 | (4) |
|
8.2 Blasius Self-similar Solution |
|
|
141 | (3) |
|
|
144 | (3) |
|
8.4 Von KarmanPohlhausen Method |
|
|
147 | (6) |
|
|
153 | (2) |
9 Heat Conduction |
|
155 | (20) |
|
9.1 Introduction to Heat Transport |
|
|
155 | (4) |
|
9.2 Unidirectional Heat Conduction |
|
|
159 | (5) |
|
|
159 | (3) |
|
9.2.2 Cylindrical Geometry |
|
|
162 | (1) |
|
|
163 | (1) |
|
|
164 | (3) |
|
9.3.1 Cylindrical Geometry |
|
|
166 | (1) |
|
9.4 Quasi Steady State Approximation |
|
|
167 | (4) |
|
|
171 | (4) |
10 Conduction with Heat Sources |
|
175 | (16) |
|
10.1 Uniform Heat Generation |
|
|
175 | (8) |
|
|
175 | (3) |
|
10.1.2 Cylindrical Geometry |
|
|
178 | (3) |
|
10.1.3 Spherical Geometry |
|
|
181 | (2) |
|
10.2 Heat Conduction with Chemical Reaction |
|
|
183 | (5) |
|
10.2.1 Asymptotic Expansion for Small Da |
|
|
184 | (2) |
|
10.2.2 Asymptotic Expansion for Large Da |
|
|
186 | (2) |
|
|
188 | (3) |
11 Macroscopic Energy Balance |
|
191 | (14) |
|
|
191 | (2) |
|
11.2 The Heat Transfer Coefficient |
|
|
193 | (3) |
|
11.2.1 Forced Convection, Internal Flow |
|
|
194 | (1) |
|
11.2.2 Forced Convection, External Flow |
|
|
195 | (1) |
|
11.2.3 Laminar Convection Past a Flat Plate |
|
|
196 | (1) |
|
|
196 | (5) |
|
|
196 | (3) |
|
11.3.2 Complex Geometries |
|
|
199 | (2) |
|
11.4 Heat Exchanging Fins |
|
|
201 | (2) |
|
|
203 | (2) |
12 Time Dependent Heat Conduction |
|
205 | (16) |
|
12.1 Heat Balance Equation |
|
|
205 | (1) |
|
12.2 Heat Conduction in a Semi-infinite Slab |
|
|
206 | (4) |
|
12.2.1 Two Solids in Contact |
|
|
208 | (1) |
|
12.2.2 Cooling of a Free Falling Film |
|
|
209 | (1) |
|
12.3 Temperature Field Generated by a Heat Pulse |
|
|
210 | (2) |
|
12.4 Heat Conduction in a Finite Slab |
|
|
212 | (3) |
|
12.5 Heat Exchange in a Pipe |
|
|
215 | (3) |
|
12.6 Heat Transfer Coefficient in Laminar Flow |
|
|
218 | (2) |
|
|
220 | (1) |
13 Convective Heat Transport |
|
221 | (14) |
|
13.1 Scaling of the Problem |
|
|
221 | (3) |
|
13.2 Laminar Thermal Boundary Layer |
|
|
224 | (5) |
|
13.2.1 Large Reynolds Number |
|
|
225 | (2) |
|
13.2.2 Small Reynolds Number |
|
|
227 | (2) |
|
13.3 Colburn-Chilton Analogy |
|
|
229 | (4) |
|
13.3.1 Laminar Flow on a Flat Plate |
|
|
230 | (1) |
|
13.3.2 Turbulent Flow in a Pipe |
|
|
231 | (1) |
|
13.3.3 The Relation between δ and δT |
|
|
231 | (2) |
|
|
233 | (2) |
14 Constitutive Equations for Transport of Chemical Species |
|
235 | (16) |
|
14.1 Fluxes and Velocities |
|
|
235 | (3) |
|
14.2 Material Balance Equations |
|
|
238 | (1) |
|
14.3 The Constitutive Equations of the Material Fluxes |
|
|
239 | (4) |
|
|
242 | (1) |
|
14.3.2 Multi-component Mixtures |
|
|
243 | (1) |
|
|
243 | (2) |
|
14.5 Answers to Some Questions on Material Transport |
|
|
245 | (6) |
15 Stationary Material Transport |
|
251 | (18) |
|
15.1 Diffusion Through a Stagnant Film |
|
|
251 | (4) |
|
15.2 Diffusion with Heterogeneous Chemical Reaction |
|
|
255 | (4) |
|
|
255 | (2) |
|
15.2.2 Spherical Geometry |
|
|
257 | (2) |
|
15.3 Diffusion with Homogeneous, First-Order Chemical Reaction |
|
|
259 | (5) |
|
15.3.1 Asymptotic Expansion for Small Da |
|
|
262 | (1) |
|
15.3.2 Asymptotic Expansion for Large Da |
|
|
263 | (1) |
|
15.4 Diffusion with Homogeneous, Second-Order Chemical Reaction |
|
|
264 | (3) |
|
|
267 | (2) |
16 Non-stationary Material Transport |
|
269 | (14) |
|
16.1 Transport Across a Membrane |
|
|
269 | (3) |
|
16.2 Evaporation of a Liquid from a Reservoir |
|
|
272 | (3) |
|
16.3 Slow Combustion of a Coal Particle |
|
|
275 | (3) |
|
16.4 Unsteady Evaporation |
|
|
278 | (3) |
|
|
281 | (2) |
17 Convective Material Transport |
|
283 | (16) |
|
17.1 Mass Transport Through a Fixed Bed |
|
|
283 | (5) |
|
17.2 Laminar Material Boundary Layer |
|
|
288 | (3) |
|
17.3 Mass Boundary Layer for Small Reynolds Number |
|
|
291 | (3) |
|
|
294 | (2) |
|
17.5 Quasi Steady State (QSS) Approximation |
|
|
296 | (1) |
|
|
297 | (2) |
18 Transport Phenomena in Turbulent Flow |
|
299 | (22) |
|
18.1 Fundamental Characteristics of Turbulence |
|
|
300 | (2) |
|
18.2 Time- and Length-Scales in Turbulence |
|
|
302 | (2) |
|
18.3 Reynolds-Averaged Equations |
|
|
304 | (5) |
|
|
304 | (1) |
|
18.3.2 Conservation of Mass |
|
|
305 | (1) |
|
18.3.3 Conservation of Momentum |
|
|
306 | (1) |
|
18.3.4 Conservation of Energy and of Chemical Species |
|
|
307 | (1) |
|
|
308 | (1) |
|
|
309 | (4) |
|
18.4.1 Eddy Diffusivities |
|
|
309 | (2) |
|
18.4.2 Dimensionless Wall Variables |
|
|
311 | (1) |
|
18.4.3 Mixing Length Model |
|
|
312 | (1) |
|
18.5 Logarithmic Velocity Profile |
|
|
313 | (3) |
|
|
316 | (5) |
19 Free Convection |
|
321 | (18) |
|
19.1 The Business Approximation |
|
|
322 | (1) |
|
19.2 Free Convection in a Vertical Channel |
|
|
323 | (3) |
|
19.3 Scaling of the Problem |
|
|
326 | (2) |
|
19.4 The Boundary Layer in Free Convection |
|
|
328 | (2) |
|
19.5 Experimental Correlations |
|
|
330 | (1) |
|
19.6 Heat Transfer with Phase Transition |
|
|
331 | (7) |
|
19.6.1 Film Condensation on a Vertical Plate |
|
|
331 | (3) |
|
|
334 | (4) |
|
|
338 | (1) |
20 Radiant Heat Transfer |
|
339 | (14) |
|
20.1 The Law of Stefan-Boltzmann |
|
|
339 | (4) |
|
20.1.1 Planck's Black Body Radiation Theory |
|
|
342 | (1) |
|
20.2 Emissivity and Absorptance |
|
|
343 | (6) |
|
|
343 | (2) |
|
|
345 | (1) |
|
20.2.3 Example: Radiation in a Furnace Chamber |
|
|
346 | (2) |
|
20.2.4 Exchange of Radiant Heat Between Gray Bodies |
|
|
348 | (1) |
|
20.3 Radiation and Conduction |
|
|
349 | (1) |
|
20.4 Example: The Design of a Solar Panel |
|
|
350 | (1) |
|
|
351 | (2) |
21 Antidiffusion |
|
353 | (18) |
|
21.1 The Chemical Potential |
|
|
353 | (3) |
|
21.1.1 The Gibbs-Duhem Relation |
|
|
354 | (1) |
|
|
355 | (1) |
|
|
356 | (4) |
|
|
360 | (2) |
|
21.4 Example: Binary Symmetric Mixtures |
|
|
362 | (3) |
|
21.5 Molecular Diffusion in Binary Symmetric Mixtures |
|
|
365 | (2) |
|
|
367 | (1) |
|
|
368 | (3) |
22 Stationary Diffusion |
|
371 | (10) |
|
|
371 | (4) |
|
22.1.1 Decaying Harmonics |
|
|
373 | (2) |
|
|
375 | (6) |
|
|
376 | (2) |
|
22.2.2 Uniform Flow Past a Sphere |
|
|
378 | (1) |
|
|
379 | (2) |
Appendix A: Properties of Pure Components at 1 atm |
|
381 | (2) |
Appendix B: Viscosity and Surface Tension of Selected Fluids |
|
383 | (2) |
Appendix C: Conversion Factors |
|
385 | (2) |
Appendix D: Governing Equations |
|
387 | (4) |
Appendix E: Balance Equations (Eulerian Approach) |
|
391 | (6) |
Appendix F: Introduction to Linear Algebra |
|
397 | (10) |
Solutions of the Problems |
|
407 | (48) |
Background Reading |
|
455 | (2) |
Index |
|
457 | |