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CONTENTS.
- § 35. Law of Skin Friction.
- 36. Kinematical Relations.
- 37. Turbulence.
- 38. General Expression. Homomorphous Motion.
- 39. Corresponding Speed.
- 40. Energy Relation.
- 41. Resistance-Velocity Curve.
- 42. Resistance-Linear Curve.
- 43. Other Relations.
- 44. Form of Characteristic Curve.
- 45. Consequences of Interchangeability of V and l.
- 46. Comparison of Theory with Experiment.
- 47. Froude's Experiments.
- 48. Froude's Experiments—continued. Roughened Surfaces.
- 49. Dines' Experiments.
- 50. Allen's Experiments.
- 51. Characteristic Curve, Spherical Body.
- 52. Physical Meaning of Change of Index.
- 53. Changes in Index Value—continued.
- 54. The Transition Stages of the Characteristic Curve.
- 55. Some Difficulties of Theory.
- 56. General Conclusions.
The Hydrodynamics of Analytical Theory.
- § 57. Introductory.
- 58. Properties of a Fluid.
- 59. Basis of Mathematical Investigation.
- 60. Velocity Potential, φ Function.
- 61. Flux. ψ Function. φ and ψ interchangeable.
- 62. Sources and Sinks.
- 63. Connectivity.
- 64. Cyclic Motion.
- 65. Fluid Rotation.—Conservation of Rotation.
- 66. Boundary Circulation, the Measure of Rotation.
- 67. Boundary Circulation. Positive and Negative.
- 68. Rotation, Irregular Distribution. Irrotation, Definition.
- 69. Rotation, Mechanical Illustration.
- 70. Irrotational Motion in its Relation to Velocity Potential.
- 71. Physical Interpretation of Lagrange's φ Proposition.
- 72. A Case of Vortex Motion.
- 73. Irrotational Motion. Fundamental or Elementary Forms. Compounding by Superposition.
- 74. The Method of Superposed Systems of Flow.
- 75. ψ, φ, Lines for Source and Sink System.
- 76. Source and Sink, Superposed Translation.
- 77. Rankine's Water-lines.
- 78. Solids Equivalent to Source and Sink Distribution.
- 79. Typical Cases constituting Solutions to the Equations of Motion.
- 80. Consequences of inverting ψ, φ Functions in Special Cases. Force at right angles to Motion.
