Chapter
§8. The conservation of circulation
§10. Incompressible fluids
§11. The drag force in potential flow past a body
§13. Internal waves in an incompressible fluid
§14. Waves in a rotating fluid
CHAPTER II. VISCOUS FLUIDS
§15. The equations of motion of a viscous fluid
§16. Energy dissipation in an incompressible fluid
§18. Flow between rotating cylinders
§19. The law of similarity
§20. Flow with small Reynolds numbers
§22. The viscosity of suspensions
§23. Exact solutions of the equations of motion for a viscous fluid
§24. Oscillatory motion in a viscous fluid
§25. Damping of gravity waves
§26. Stability of steady flow
§27. Stability of rotary flow
§28. Stability of flow in a pipe
§29. Instability of tangential discontinuities
§30. Quasi-periodic flow and frequency locking
§32. Transition to turbulence by period doubling
§33. Fully developed turbulence
§34. The velocity correlation functions
§35. The turbulent region and the phenomenon of separation
§38. Zhukovskiǐ's theorem
CHAPTER IV. BOUNDARY LAYERS
§39. The laminar boundary layer
§40. Flow near the line of separation
§41. Stability of flow in the laminar boundary layer
§42. The logarithmic velocity profile
§43. Turbulent flow in pipes
§44. The turbulent boundary layer
§46. Flow past streamlined bodies
§48. The lift of a thin wing
CHAPTER V. THERMAL CONDUCTION IN FLUIDS
§49. The general equation of heat transfer
§50. Thermal conduction in an incompressible fluid
§51. Thermal conduction in an infinite medium
§52. Thermal conduction in a finite medium
§53. The similarity law for heat transfer
§54. Heat transfer in a boundary layer
§55. Heating of a body in a moving fluid
§57. Convective instability of a fluid at rest
§58. The equations of fluid dynamics for a mixture of fluids
§59. Coefficients of mass transfer and thermal diffusion
§60. Diffusion of particles suspended in a fluid
CHAPTER VII. SURFACE PHENOMENA
§63. The effect of adsorbed films on the motion of a liquid
§65. The energy and momentum of sound waves
§66. Reflection and refraction of sound waves
§67. Geometrical acoustics
§68. Propagation of sound in a moving medium
§69. Characteristic vibrations
§72. The general solution of the wave equation
§74. The emission of sound
§75. Sound excitation by turbulence
§76. The reciprocity principle
§77. Propagation of sound in a tube
§82. Propagation of disturbances in a moving gas
§83. Steady flow of a gas
§84. Surfaces of discontinuity
§87. The direction of variation of quantities in a shock wave
§88. Evolutionary shock waves
§89. Shock waves in a polytropic gas
§90. Corrugation instability of shock waves
§91. Shock wave propagation in a pipe
§93. The thickness of shock waves
§94. Shock waves in a relaxing medium
§95. The isothermal discontinuity
§96. Weak discontinuities
CHAPTER X. ONE-DIMENSIONAL GAS FLOW
§97. Flow of gas through a nozzle
§98. Flow of a viscous gas in a pipe
§99. One-dimensional similarity flow
§100. Discontinuities in the initial conditions
§101. One-dimensional travelling waves
§102. Formation of discontinuities in a sound wave
§105. Arbitrary one-dimensional gas flow
§107. An imploding spherical shock wave
§108. Shallow-water theory
CHAPTER XI. THE INTERSECTION OF SURFACES OF DISCONTINUITY
§110. Classification of intersections of surfaces of discontinuity
§111. The intersection of shock waves with a solid surface
§112. Supersonic flow round an angle
§113. Flow past a conical obstacle
CHAPTER XII. TWO-DIMENSIONAL GAS FLOW
§114. Potential flow of a gas
§115. Steady simple waves
§116. Chaplygin's equation: the general problem of steady two-dimensional gas flow
§117. Characteristics in steady two-dimensional flow
§118. The Euler–Tricomi equation. Transonic flow
§119. Solutions of the Euler–Tricomi equation near non-singular points of the sonic surface
§120. Flow at the velocity of sound
§121. The reflection of a weak discontinuity from the sonic line
CHAPTER XIII. FLOW PAST FINITE BODIES
§122. The formation of shock waves in supersonic flow past bodies
§123. Supersonic flow past a pointed body
§124. Subsonic flow past a thin wing
§125. Supersonic flow past a wing
§126. The law of transonic similarity
§127. The law of hypersonic similarity
CHAPTER XIV. FLUID DYNAMICS OF COMBUSTION
§130. The propagation of a detonation wave
§131. The relation between the different modes of combustion
§132. Condensation discontinuities
CHAPTER XV. RELATIVISTIC FLUID DYNAMICS
§133. The energy-momentum tensor
§134. The equations of relativistic fluid dynamics
§135. Shock waves in relativistic fluid dynamics
§136. Relativistic equations for flow with viscosity and thermal conduction
CHAPTER XVI. DYNAMICS OF SUPERFLUIDS
§137. Principal properties of superfluids
§138. The thermo-mechanical effect
§139. The equations of superfluid dynamics
§140. Dissipative processes in superfluids
§141. The propagation of sound in superfluids