Fluid Dynamics (Paperback)

I - General Theory of Perfect Fluids.- 1. Equations of motion.- 2. Bernoulli equation.- 3. Circulation.- 4. Helmholtz' vortex theory.- 5. Relation between vorticity and Bernoulli function.- 6. Equation for vortex-free motion.- 7. Momentum theorems for perfect fluid motion.- II - Motion in Two Dimensions-Airwing of Infinite Span.- 1. Steady motion of an incompressible fluid.- 2. Steady, irrotational motion of an incompressible fluid.- 3. Effect of uniform flow upon immersed bodies.- 4. Circular cross-section and theorem of Joukowski.- 5. Solution of the problem for a single wing profile.- 6. Examples of Airwing sections.- (a) The Joukowski profiles.- (b) Karman-Trefftz profiles.- (c) General profiles.- 7. The direct problem-theory of thin wings.- 8. Final remarks.- (a) Experimental verification of the lift formula.- (b) Moment formula.- (c) Compressible fluid.- III - Motion in Three Dimensions-Airwing of Finite Span.- 1. Vortex lines and vortex sheets.- 2. Horseshoe vortex lines and sheets.- 3. Lanchester-Prandtl wing theory.- 4. Airwing of minimum drag.- 5. General problem.- 6. Formal solution of the integral equation.- 7. Application of the theory to the biplane.- IV - Theory of Viscous Fluids.- 1. Couette and Poiseuille flow.- (a) Plane Couette flow.- (b) Plane Poiseuille flow.- 2. Navier-Stokes equation.- 3. Problems.- 4. Similarity.- 5. Small Reynolds number.- 6. Unsteady flow.- 7. Flow in convergent and divergent channels.- 8. Flow towards a plane plate.- 9. The mathematical structure of the boundary layer problem.- 10. Boundary layer equations.- 11. Flow along a flat plate.- 12. Displacement thickness - momentum equation.- 13. Jets and wakes.- 14. von Mises equations.- 15. Curves walls and separation.- 16. Instability of vortex motion.- V - Compressible Fluids.- 1. Equations of motion for compressible fluids.- 2. Introductory concepts of thermodynamics.- 3. Steady flow in one-dimensional treatment.- 4. Compression shocks.- 5. Non-steady one-dimensional flow.- 6. Two-dimensional, steady, adiabatic flow.- 7. Nearly constant, parallel flow.- 8. Flow in and around corners. Oblique shocks.- 9. Non-adiabatic flow and boundary layer.- Problems.- Problem 1.- Problem 2.- Problem 3,4,5,6.- Problem 7.- Problem 8,9,10.- Problem 11.- Problem 12.- Problem 13.- Problem 14,15.- Problem 16.- Problem 17,18.- Problem 19,20.- Problem 21.- Problem 22.- Problem 23,24.- Problem 25.- Problem 26.- Problem 27.- Problem 28.- Problem 29.- Problem 30.- Problem 31.