On Thursday 16th November 2006, The Rt. Hon Lord Bingham of Cornhill KG, House of Lords delivered the 2006 Sir David Williams Lecture entitled "The Rule of Law".

The Sir David Williams Lecture is an annual address delivered by a guest lecturer in honour of Sir David Williams, Emeritus Rouse Ball Professor of English Law and Emeritus Vice-Chancellor of Cambridge University.

More information about this lecture, including photographs from the event, is available from the Centre for Public Law website at:

https://www.cpl.law.cam.ac.uk/sir-david-williams-lectures/rt-hon-lord-bingham-cornhill-kg-rule-law

The audio of this recording was enhanced for quality on 3 January 2024.

(3RD PLACE) High-speed video of a dripping of a water droplet from a laboratory tap showing pendant droplet formation, extension, pinch-off, recoil and thread breakup.

The unique position of a temperature probe at the leading edge has a significant impact on the flow along the blade which has a significant impact on any further measurements downstream.

A guide for Cambridge Graduate Course in Medicine applicants attending interviews remotely via Zoom in 2021.

(RUNNER-UP) A dyed falling droplet coalescing with an undyed sessile droplet of equal fluid properties, with pinch-off preceding permanent coalescence and internal jet formation. Video shows 25ms, played 500x slower than real time. Frame is approximately 6mm wide. Colour balance (LUT) adjusted to improve contrast.

Acknowledgements

EPSRC via the Centre for Doctoral Training in Fluid Dynamics (Grant No. EP/L01615X/1).

(WINNER) Droplets of water (blue) and water-glycerol mixture (red) are propelled along the surface of a brass cone due to pressure gradients induced by the curvature gradient of the cone with larger droplets moving faster. The surface of the cone is lubricated with silicone oil allowing easy motion. No enhancements.

We present a three dimensional direct numerical simulation of a heated chocolate fountain flow where the geometrical structure is built from primitive geometrical objects using a state distance function (positive for fluid and negative for solid). We use physical properties of melted chocolate (40°C) flowing and ambient atmosphere (20°C). We solve both Navier-Stokes and the thermal energy equation in the context of a front-tracking based multiphase method and fluid structure interaction. The left-hand half is the temperature field. The right-hand half is the streamlines on a vertical slice.

The parallelization of the code is based on algebraic domain decomposition, where the velocity field is solved by a parallel GMRES method for the implicit viscous terms and the pressure by a parallel multigrain method and the communication across process threads is handled by MPI message-passing procedures.

Fingering patterns form when air is injected into dyed glycerol in a Hele-Shaw cell with a soft upper boundary. As a result, the soft layer deforms. The change in the colour intensity of the dyed fluid reveals both global and local deformations of the soft layer.

Professor Huw Price delivers his inaugural lecture as Bertrand Russell Professor of Philosophy: Where would we be without counterfactuals?

Recorded on 1st November 2012.