Generation and destruction of the vortex ring
Numerically generated movie downloaded from
Boat goes across the lake generating ship-wave Kelvin pattern. HD movie.
Water drop, jet and ripples
Slow motion shot of a single drop of water splashing. Shot with a high speed camera at 1000 frames per second.
This serves as an illustration to the Exercises 1.15 and 3.3. In particular, one can see that the distance between circles decreases with the radius as it must be for capillary waves. One also ultimately sees a quiescent circle that expans with the minimal group velocity v*.
Jet shooting up
Slow motion video of jet shooting up after water drop. Illustrate Exercise 1.15. One can also distinguish a second small bump of fluid formed after the last drop falls.
Football free kick using Magnus force
Roberto Carlos free kick using full power of the Magnus force
Magic of water waves
Water surface filmed by the camera mounted about a hundred meters above facing the shore.
Phographer Albert Delamour http://www.albertdelamour.com/
Creating half of a vortex ring in a pool
On fluid displacement upon the passage of a body see also the webpage on Darwin drift.
Reversibility of laminar mixing
Modern Fluid Mechanics (lecture notes)
Tidal bore on the River Severn (hydraulic jump)
Kelvin and Mach ship patterns
Kelvin ship pattern, as shown in the picture, can be observed only when the ship speed V is less than the speed of the boat-length wave U(L)=(gL)1/2. Since an object cannot effectively excite waves much longer than its size, then at V>>U the ship pattern looks more like a Mach like cone with the angle being arcsinus of U/L. In other words, U effectively plays the role of maximal speed of perturbations i.e. sound speed - see http://prl.aps.org/pdf/PRL/v110/i21/e214503
Colour figure 2.6 - three smoke jets
Frame-by-frame images of droplet falling into milk
At this link one finds frame-by-frame images of droplet falling into milk, where one can see subsequently: propagation of a shock on a surface and creation of a crown, appearance of a crater, refilling the crater and shooting out the first column, the collapse of the column and shooting the secondary column, the secondary splash.
Alternative derivation of the Kelvin ship pattern
Русская версия книги "Современная Гидродинамика"
Flow past a wing
As mentioned in Sect 1.5.4, fluid elements, separated by a wing, do not meet at the trailing edge. One can see that this is indeed so in the photograph (taken from here). The explanation can be found in the Q&A Flow past a wing.