Page:Aerial Flight - Volume 1 - Aerodynamics - Frederick Lanchester - 1906.djvu/17

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CONTENTS.
xiii
  • § 81. Kinetic Energy.
  • 82. Pressure Distribution. Fluid Tension as Hypothesis.
  • 83. Application of the Theorem of Energy.
  • 84. Energy of Superposed Systems.
  • 85. Example: Cyclic Superposition.
  • 86. Two opposite Cyclic Motions on Translation.
  • 87. Numerical Illustration.
  • 88. Fluid Pressure on a Body in Motion.
  • 89. Cases fall into Three Categories.
  • 90. Transverse Force Dependent on Cyclic Motion. Proof.
  • 91. Difficulty in the case of the Perfect Fluid.
  • 92. Superposed Rotation.
  • 93. Vortex Motion.
  • 94. Discontinuous Flow.
  • 95. Efflux of Liquids.
  • 96. The Borda Nozzle.
  • 97. Discontinuous Flow. Pressure on a Normal Plane.
  • 98. Deficiencies of the Eulerian Theory of the Perfect Fluid.
  • 99. Deficiencies of the Theory—continued. Stokes, Helmholtz.
  • 100. The Doctrine of Discontinuity attacked by Kelvin.
  • 101. Kelvin's Objections Discussed.
  • 102. Discussion on Controversy—continued.
  • 103. The Position Summarised.
  • 104. The Author's View.
  • 105. Discontinuity in a Viscous Fluid.
  • 106. Conclusions from Dimensional Theory.

Wing Form and Motion in the Periptery.

  • § 107. Wing Form. Arched Section.
  • 108. Historical.
  • 109. Dynamic Support.
  • 110. In the Region of a Falling Plane. Up-current.
  • 111. Dynamic Support Reconsidered.
  • 112. Aerodynamic Support.
  • 113. Aerodynamic Support—continued. Field of Force.
  • 114. Flight with an Evanescant Load.
  • 115. Aeroplane of Infinite Lateral Extent.
  • 116. Interpretation of Theory of Aeroplane of Infinite Lateral Extent.
  • 117. Departure from Hypothesis.
  • 118. On the Sectional Form of the Aerofoil.
  • 119. On the Plan-form of the Aerofoil: Aspect Ratio.
  • 120. On Plan-form—continued. Form of Extremities.
  • 121. Hydrodynamic Interpretation and Development.
  • 122. Peripteroid Motion.
  • 123. Energy in the Periptery.
  • 124. Modified Systems.
  • 125. Peripteroid Motion in a Simply-connected Region.
  • 126. Peripteral Motion in a Real Fluid.
  • 127. Peripteral Motion in a Real Fluid—continued.