Author | Mises, Richard von. author |
---|---|
Title | Fluid Dynamics [electronic resource] / by Richard von Mises, Kurt O. Friedrichs |
Imprint | New York, NY : Springer New York, 1971 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-6406-4 |
Descript | X, 354 p. online resource |
I โ General Theory of Perfect Fluids -- 1. Equations of motion -- 2. Bernoulli equation -- 3. Circulation -- 4. Helmholtzโ vortex theory -- 5. Relation between vorticity and Bernoulli function -- 6. Equation for vortex-free motion -- 7. Momentum theorems for perfect fluid motion -- II โ 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 -- 7. The direct problem-theory of thin wings -- 8. Final remarks -- III โ 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 โ Theory of Viscous Fluids -- 1. Couette and 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 โ momentum equation -- 13. Jets and wakes -- 14. von Mises equations -- 15. Curves walls and separation -- 16. Instability of vortex motion -- V โ 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