Biofluid Mechanics: An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation, Third Edition shows how fluid mechanics principles can be applied not only to blood circulation, but also to air flow through the lungs, joint lubrication, intraocular fluid movement, renal transport, and other specialty circulations. This new edition contains new homework problems and worked examples, including MATLAB-based examples. In addition, new content has been added on such relevant topics as Womersley and Oscillatory Flows. With advanced topics in the text now denoted for instructor convenience, this book is particularly suitable for both senior and graduate-level courses in biofluids.
1. Chapter 1. Introduction - p. 3 2. Chapter 2. Fundamentals of fluid mechanics - p. 17 3. 2.1 Fluid mechanics introduction - p. 17 4. 2.2 Fundamental fluid mechanics equations - p. 21 5. 2.3 Analysis methods - p. 26 6. 2.4 Fluid as a continuum - p. 30 7. 2.5 Elemental stress and pressure - p. 33 8. 2.6 Kinematics: Velocity, acceleration, rotation, and deformation - p. 38 9. Solution - p. 40 10. Solution - p. 46 11. Solution - p. 48 12. 2.7 Viscosity - p. 48 13. Solution - p. 49 14. 2.8 Fluid motions - p. 50 15. 2.9 Two-phase flows∗ - p. 53 16. 2.10 Changes in the fundamental relationships on the microscale∗ - p. 56 17. 2.11 Fluid structure interaction∗ - p. 57 18. 2.12 Introduction to turbulent flows and the relationship of turbulence to biological systems∗ - p. 59 19. Summary - p. 62 20. Chapter 3. Conservation laws - p. 71 21. 3.1 Fluid statics equations - p. 71 22. Solution - p. 76 23. Solution - p. 79 24. 3.2 Buoyancy - p. 81 25. Solution - p. 83 26. 3.3 Conservation of mass - p. 83 27. Solution - p. 90 28. Solution - p. 92 29. 3.4 Conservation of momentum - p. 93 30. Solution - p. 96 31. 3.5 Momentum equation with acceleration - p. 98 32. Solution - p. 101 33. 3.6 The first and second laws of thermodynamics - p. 104 34. Solution - p. 107 35. Solution - p. 108 36. 3.7 The Navier–Stokes equations - p. 110 37. Solution - p. 115 38. Solution - p. 117 39. 3.8 Bernoulli equation - p. 118 40. Solution - p. 122 41. Summary - p. 123 42. II. Macrocirculation - p. P2 43. Chapter 4. Introduction to heat transfer - p. 135 44. Chapter 5. The heart - p. 157 45. Chapter 6. Blood flow in arteries and veins - p. 207 46. 6.1 Arterial system physiology - p. 208 47. 6.2 Venous system physiology - p. 211 48. 6.3 Blood cells and plasma - p. 214 49. 6.4 Blood rheology - p. 220 50. 6.5 Pressure, flow, and resistance: arterial system - p. 226 51. Solution - p. 226 52. Solution - p. 229 53. 6.6 Pressure, flow, and resistance: venous system - p. 230 54. Solution - p. 232 55. 6.7 Windkessel model for blood flow∗ - p. 234 56. Solution - p. 236 57. 6.8 Wave propagation in arterial circulation - p. 239 58. Solution - p. 243 59. 6.9 Flow separation at bifurcations and at walls - p. 245 60. Solution - p. 247 61. 6.10 Flow through tapering and curved channels∗ - p. 250 62. Solution - p. 251 63. Solution - p. 253 64. 6.11 Pulsatile flow and turbulence∗ - p. 257 65. 6.12 Womersley flow and solution∗ - p. 263 66. 6.13 Oscillatory blood flow and oscillatory shear index∗ - p. 268 67. 6.14 Disease conditions - p. 269 68. Summary - p. 275 69. III. Microcirculation - p. P3 70. Chapter 7. Microvascular beds - p. 287 71. Chapter 8. Mass transport and heat transfer in the microcirculation - p. 331 72. 8.1 Gas diffusion - p. 332 73. Solution - p. 340 74. 8.2 Glucose transport - p. 342 75. 8.3 Vascular permeability - p. 343 76. 8.4 Energy considerations - p. 347 77. Solution - p. 350 78. 8.5 Transport through porous media∗ - p. 352 79. 8.6 Microcirculatory heat transfer∗ - p. 355 80. Solution - p. 360 81. Solution - p. 361 82. 8.7 Cell transfer during inflammation and white blood cell rolling and sticking∗ - p. 365 83. Summary - p. 367 84. Chapter 9. The lymphatic system - p. 375 85. IV. Specialty circulations - p. P4 86. Chapter 10. Flow in the lungs - p. 393 87. Chapter 11. Intraocular fluid flow - p. 423 88. Chapter 12. Lubrication of joints and transport in bone - p. 443 89. Chapter 13. Flow through the kidney - p. 473 90. Chapter 14. Splanchnic circulation: Liver and spleen - p. 515 91. V. Modeling and experimental techniques - p. P5 92. Chapter 15. In silico biofluid mechanics∗ - p. 535 93. 15.1 Computational fluid dynamics - p. 535 94. 15.2 Fluid structure interaction modeling - p. 548 95. Solution - p. 552 96. 15.3 Buckingham Pi Theorem and dynamic similarity - p. 553 97. Solution - p. 555 98. Solution - p. 560 99. 15.4 Current state of the art for biofluid mechanics in silico research - p. 561 100. 15.5 Future directions of biofluid mechanics in silico research - p. 563 101. Summary - p. 564 102. Chapter 16. In vitro biofluid mechanics∗ - p. 573 103. Chapter 17. In vivo biofluid mechanics∗ - p. 591 104. Further readings - p. 605 105. Index - p. 607
Biofluid Mechanics: An Introduction to Fluid Mechanics, Macrocirculation, and Microcirculation, Third Edition shows how fluid mechanics principles can be applied not only to blood circulation, but also to air flow through the lungs, joint lubrication, intraocular fluid movement, renal transport, and other specialty circulations. This new edition contains new homework problems and worked examples, including MATLAB-based examples. In addition, new content has been added on such relevant topics as Womersley and Oscillatory Flows. With advanced topics in the text now denoted for instructor convenience, this book is particularly suitable for both senior and graduate-level courses in biofluids.
1. Chapter 1. Introduction - p. 3 2. Chapter 2. Fundamentals of fluid mechanics - p. 17 3. 2.1 Fluid mechanics introduction - p. 17 4. 2.2 Fundamental fluid mechanics equations - p. 21 5. 2.3 Analysis methods - p. 26 6. 2.4 Fluid as a continuum - p. 30 7. 2.5 Elemental stress and pressure - p. 33 8. 2.6 Kinematics: Velocity, acceleration, rotation, and deformation - p. 38 9. Solution - p. 40 10. Solution - p. 46 11. Solution - p. 48 12. 2.7 Viscosity - p. 48 13. Solution - p. 49 14. 2.8 Fluid motions - p. 50 15. 2.9 Two-phase flows∗ - p. 53 16. 2.10 Changes in the fundamental relationships on the microscale∗ - p. 56 17. 2.11 Fluid structure interaction∗ - p. 57 18. 2.12 Introduction to turbulent flows and the relationship of turbulence to biological systems∗ - p. 59 19. Summary - p. 62 20. Chapter 3. Conservation laws - p. 71 21. 3.1 Fluid statics equations - p. 71 22. Solution - p. 76 23. Solution - p. 79 24. 3.2 Buoyancy - p. 81 25. Solution - p. 83 26. 3.3 Conservation of mass - p. 83 27. Solution - p. 90 28. Solution - p. 92 29. 3.4 Conservation of momentum - p. 93 30. Solution - p. 96 31. 3.5 Momentum equation with acceleration - p. 98 32. Solution - p. 101 33. 3.6 The first and second laws of thermodynamics - p. 104 34. Solution - p. 107 35. Solution - p. 108 36. 3.7 The Navier–Stokes equations - p. 110 37. Solution - p. 115 38. Solution - p. 117 39. 3.8 Bernoulli equation - p. 118 40. Solution - p. 122 41. Summary - p. 123 42. II. Macrocirculation - p. P2 43. Chapter 4. Introduction to heat transfer - p. 135 44. Chapter 5. The heart - p. 157 45. Chapter 6. Blood flow in arteries and veins - p. 207 46. 6.1 Arterial system physiology - p. 208 47. 6.2 Venous system physiology - p. 211 48. 6.3 Blood cells and plasma - p. 214 49. 6.4 Blood rheology - p. 220 50. 6.5 Pressure, flow, and resistance: arterial system - p. 226 51. Solution - p. 226 52. Solution - p. 229 53. 6.6 Pressure, flow, and resistance: venous system - p. 230 54. Solution - p. 232 55. 6.7 Windkessel model for blood flow∗ - p. 234 56. Solution - p. 236 57. 6.8 Wave propagation in arterial circulation - p. 239 58. Solution - p. 243 59. 6.9 Flow separation at bifurcations and at walls - p. 245 60. Solution - p. 247 61. 6.10 Flow through tapering and curved channels∗ - p. 250 62. Solution - p. 251 63. Solution - p. 253 64. 6.11 Pulsatile flow and turbulence∗ - p. 257 65. 6.12 Womersley flow and solution∗ - p. 263 66. 6.13 Oscillatory blood flow and oscillatory shear index∗ - p. 268 67. 6.14 Disease conditions - p. 269 68. Summary - p. 275 69. III. Microcirculation - p. P3 70. Chapter 7. Microvascular beds - p. 287 71. Chapter 8. Mass transport and heat transfer in the microcirculation - p. 331 72. 8.1 Gas diffusion - p. 332 73. Solution - p. 340 74. 8.2 Glucose transport - p. 342 75. 8.3 Vascular permeability - p. 343 76. 8.4 Energy considerations - p. 347 77. Solution - p. 350 78. 8.5 Transport through porous media∗ - p. 352 79. 8.6 Microcirculatory heat transfer∗ - p. 355 80. Solution - p. 360 81. Solution - p. 361 82. 8.7 Cell transfer during inflammation and white blood cell rolling and sticking∗ - p. 365 83. Summary - p. 367 84. Chapter 9. The lymphatic system - p. 375 85. IV. Specialty circulations - p. P4 86. Chapter 10. Flow in the lungs - p. 393 87. Chapter 11. Intraocular fluid flow - p. 423 88. Chapter 12. Lubrication of joints and transport in bone - p. 443 89. Chapter 13. Flow through the kidney - p. 473 90. Chapter 14. Splanchnic circulation: Liver and spleen - p. 515 91. V. Modeling and experimental techniques - p. P5 92. Chapter 15. In silico biofluid mechanics∗ - p. 535 93. 15.1 Computational fluid dynamics - p. 535 94. 15.2 Fluid structure interaction modeling - p. 548 95. Solution - p. 552 96. 15.3 Buckingham Pi Theorem and dynamic similarity - p. 553 97. Solution - p. 555 98. Solution - p. 560 99. 15.4 Current state of the art for biofluid mechanics in silico research - p. 561 100. 15.5 Future directions of biofluid mechanics in silico research - p. 563 101. Summary - p. 564 102. Chapter 16. In vitro biofluid mechanics∗ - p. 573 103. Chapter 17. In vivo biofluid mechanics∗ - p. 591 104. Further readings - p. 605 105. Index - p. 607
