Page:Aerial Flight - Volume 1 - Aerodynamics - Frederick Lanchester - 1906.djvu/16

xii * § 35. Law of Skin Friction. * 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.

[[Aerodynamics (Lanchester)/Chapter 3|

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 * § 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.