Boundary Layer Theory is a comprehensive introduction to the physics of the boundary layer, and the latest numerical methods for describing it. The increases in computing power of recent decades have expanded our capability to investigate complex fluid phenomena such as boundary layer turbulence, and research in this field has lead to important advances for aerospace, chemical, thermal, and hydraulic engineering among other areas.
With worked examples and problem exercises in every chapter, this book helps readers to understand the physics of the boundary layer before going through the related numerical solutions, and moving on to the latest numerical methods as they are used in research globally.
Topical research areas such as non-Newtonian fluid-boundary layers, effects of magnetohydrodynamics on boundary layers, and three dimensional boundary layer effects are all addressed, making this the ideal starting point for any fluids engineer approaching a research topic in boundary layer.
1. Chapter 1. Introduction and governing equations - p. 1 2. Chapter 2. Laminar momentum and thermal boundary layers - p. 25 3. Abstract - p. 25 4. The boundary layer concept and boundary layer equations for two-dimensional flow - p. 25 5. Steady flow through a straight channel - p. 27 6. Steady Flow through a circular Pipe - p. 30 7. Fully developed velocity and temperature distribution in a circular pipe - p. 34 8. Flow between concentric rotating cylinders - p. 36 9. Steady Channel Flow with Blowing and Suction - p. 38 10. Lubrication theory - p. 39 11. Similarity solutions - p. 42 12. Flow near a rotating disk - p. 42 13. Stagnation point flow - p. 46 14. Axisymmetric stagnation flow on a cylinder - p. 50 15. Heat transfer solution for axisymmetric stagnation flow - p. 53 16. Flat plate flow - p. 57 17. Heat transfer solution for flat plate flow - p. 61 18. Falkner–Skan Flow over a Wedge - p. 63 19. Heat transfer solution for flow over a wedge - p. 64 20. Jets and wakes - p. 69 21. Laminar plane wall jet - p. 74 22. Similarity solution for power law fluids - p. 76 23. Laminar wall jet of a power law fluid over a curved surface - p. 78 24. Natural convection - p. 82 25. Similarity solution for natural convection along a vertical plate - p. 83 26. Laminar natural convection in power-law fluids - p. 86 27. Problems - p. 88 28. Chapter 3. Integral methods for laminar flow - p. 93 29. Chapter 4. Unsteady boundary layers - p. 123 30. Abstract - p. 123 31. Rayleigh's problem - p. 124 32. Impulsive start of flow in a circular pipe - p. 126 33. Oscillating flows with zero mean - p. 132 34. Oscillating flows with nonvanishing mean - p. 139 35. Unsteady combined convention from a horizontal circular cylinder - p. 154 36. Unsteady thermal boundary layers - p. 165 37. Unsteady compressible boundary layers - p. 178 38. Boundary layer separation in unsteady flows - p. 182 39. Problems - p. 184 40. Chapter 5. Stability of laminar boundary layers - p. 187 41. Chapter 6. Incompressible turbulent flows - p. 229 42. Abstract - p. 229 43. Equations of fluid dynamics - p. 231 44. Energy equation - p. 236 45. Reynolds stresses - p. 238 46. Two-dimensional turbulent boundary layer - p. 239 47. Turbulent boundary layer integral equations - p. 241 48. The law of the wall - p. 242 49. Coles’ law of wake - p. 244 50. Turbulent flow through a circular pipe - p. 245 51. Prandtl’s mixing length theory - p. 252 52. Application to incompressible free shear flows - p. 257 53. The far wake - p. 258 54. The mixing layer - p. 262 55. The jet - p. 263 56. Incompressible turbulent flow through a channel or pipe - p. 267 57. Turbulent boundary layer flows - p. 269 58. Separated flows - p. 269 59. Closure problem of turbulence - p. 271 60. One equation models - p. 273 61. Two-equation model - p. 277 62. Heat transfer in turbulent flows - p. 280 63. Circular tube with fully developed flow - p. 282 64. Flow along a semi-infinite plate with unheated starting length - p. 284 65. Pressure gradient effects on heat transfer - p. 286 66. Roughness effect on heat transfer in fully developed turbulent flow in pipes - p. 286 67. Free stream turbulence effects - p. 286 68. Problems - p. 289 69. Chapter 7. Boundary layers in compressible fluids - p. 293 70. Abstract - p. 293 71. Steady Laminar compressible Couette Flow - p. 296 72. Lees–Dorodnitsyn equations for steady, laminar compressible flow - p. 300 73. Similarity boundary layer solutions for hypersonic flow - p. 306 74. Integral equations for the compressible boundary layer - p. 315 75. Compressible turbulent boundary layer equations - p. 317 76. Turbulent Crocco–Busemann relation - p. 318 77. Compressible law of the wall - p. 319 78. Flat plate theory - p. 321 79. Compressible turbulent plane Couette flow - p. 324 80. Problems - p. 327 81. Chapter 8. Numerical methods - p. 331 82. Bibliography - p. 351 83. Appendix A - p. 361 84. Index - p. 371
Boundary Layer Theory is a comprehensive introduction to the physics of the boundary layer, and the latest numerical methods for describing it. The increases in computing power of recent decades have expanded our capability to investigate complex fluid phenomena such as boundary layer turbulence, and research in this field has lead to important advances for aerospace, chemical, thermal, and hydraulic engineering among other areas.
With worked examples and problem exercises in every chapter, this book helps readers to understand the physics of the boundary layer before going through the related numerical solutions, and moving on to the latest numerical methods as they are used in research globally.
Topical research areas such as non-Newtonian fluid-boundary layers, effects of magnetohydrodynamics on boundary layers, and three dimensional boundary layer effects are all addressed, making this the ideal starting point for any fluids engineer approaching a research topic in boundary layer.
1. Chapter 1. Introduction and governing equations - p. 1 2. Chapter 2. Laminar momentum and thermal boundary layers - p. 25 3. Abstract - p. 25 4. The boundary layer concept and boundary layer equations for two-dimensional flow - p. 25 5. Steady flow through a straight channel - p. 27 6. Steady Flow through a circular Pipe - p. 30 7. Fully developed velocity and temperature distribution in a circular pipe - p. 34 8. Flow between concentric rotating cylinders - p. 36 9. Steady Channel Flow with Blowing and Suction - p. 38 10. Lubrication theory - p. 39 11. Similarity solutions - p. 42 12. Flow near a rotating disk - p. 42 13. Stagnation point flow - p. 46 14. Axisymmetric stagnation flow on a cylinder - p. 50 15. Heat transfer solution for axisymmetric stagnation flow - p. 53 16. Flat plate flow - p. 57 17. Heat transfer solution for flat plate flow - p. 61 18. Falkner–Skan Flow over a Wedge - p. 63 19. Heat transfer solution for flow over a wedge - p. 64 20. Jets and wakes - p. 69 21. Laminar plane wall jet - p. 74 22. Similarity solution for power law fluids - p. 76 23. Laminar wall jet of a power law fluid over a curved surface - p. 78 24. Natural convection - p. 82 25. Similarity solution for natural convection along a vertical plate - p. 83 26. Laminar natural convection in power-law fluids - p. 86 27. Problems - p. 88 28. Chapter 3. Integral methods for laminar flow - p. 93 29. Chapter 4. Unsteady boundary layers - p. 123 30. Abstract - p. 123 31. Rayleigh's problem - p. 124 32. Impulsive start of flow in a circular pipe - p. 126 33. Oscillating flows with zero mean - p. 132 34. Oscillating flows with nonvanishing mean - p. 139 35. Unsteady combined convention from a horizontal circular cylinder - p. 154 36. Unsteady thermal boundary layers - p. 165 37. Unsteady compressible boundary layers - p. 178 38. Boundary layer separation in unsteady flows - p. 182 39. Problems - p. 184 40. Chapter 5. Stability of laminar boundary layers - p. 187 41. Chapter 6. Incompressible turbulent flows - p. 229 42. Abstract - p. 229 43. Equations of fluid dynamics - p. 231 44. Energy equation - p. 236 45. Reynolds stresses - p. 238 46. Two-dimensional turbulent boundary layer - p. 239 47. Turbulent boundary layer integral equations - p. 241 48. The law of the wall - p. 242 49. Coles’ law of wake - p. 244 50. Turbulent flow through a circular pipe - p. 245 51. Prandtl’s mixing length theory - p. 252 52. Application to incompressible free shear flows - p. 257 53. The far wake - p. 258 54. The mixing layer - p. 262 55. The jet - p. 263 56. Incompressible turbulent flow through a channel or pipe - p. 267 57. Turbulent boundary layer flows - p. 269 58. Separated flows - p. 269 59. Closure problem of turbulence - p. 271 60. One equation models - p. 273 61. Two-equation model - p. 277 62. Heat transfer in turbulent flows - p. 280 63. Circular tube with fully developed flow - p. 282 64. Flow along a semi-infinite plate with unheated starting length - p. 284 65. Pressure gradient effects on heat transfer - p. 286 66. Roughness effect on heat transfer in fully developed turbulent flow in pipes - p. 286 67. Free stream turbulence effects - p. 286 68. Problems - p. 289 69. Chapter 7. Boundary layers in compressible fluids - p. 293 70. Abstract - p. 293 71. Steady Laminar compressible Couette Flow - p. 296 72. Lees–Dorodnitsyn equations for steady, laminar compressible flow - p. 300 73. Similarity boundary layer solutions for hypersonic flow - p. 306 74. Integral equations for the compressible boundary layer - p. 315 75. Compressible turbulent boundary layer equations - p. 317 76. Turbulent Crocco–Busemann relation - p. 318 77. Compressible law of the wall - p. 319 78. Flat plate theory - p. 321 79. Compressible turbulent plane Couette flow - p. 324 80. Problems - p. 327 81. Chapter 8. Numerical methods - p. 331 82. Bibliography - p. 351 83. Appendix A - p. 361 84. Index - p. 371
