Run off Conditions on Rimming Power Law Fluids

The rimming ?ow of a power-law ?uid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the fact that the liquid layer is thin, the simplest lubrication theory is applied. The generalized run-off condition for the steady-state ?ow of the power-law liquid is derived. In the bounds implied by this condition, ?lm thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds a certain value or the speed of rotation is less than an indicated limit, a discontinuous solution is possible and a hydraulic jump may occur in the steady-state regime. The location and height of the hydraulic jump for the power-law liquid is determined.

English Trade Mark Law in the Eighteenth Century: Blanchard v Hill Revisited - Another 'Case of Monopolies'?

The decision of Lord Hardwicke LC in Blanchard v Hill in 1742 is the earliest reported case on the equitable jurisdiction to grant injunctive relief against trade mark piracy. The ambiguous manner in which the case was reported led to the decision being interpreted as either the basis of equitable jurisdiction or a denial of jurisdiction. This article seeks to establish the background to the case, what actually happened, and the immediate impact of the decision. The scene is set, however, in a parallel symbolic universe – heraldry – because in 1740, the officers of arms were confronted with a trade mark case.