48 FLUIDITY AND PLASTICITY (2) The mean velocity at the lower limit of the oscillations is inversely proportional to the radius of the tube. TABLE XVI.—LAW OF RADII R Temperature V • v E 0.04998 12.7 103.6 2,073 0.09036 13.6 214.9 2,378 0.13070 13.6 344.0 2,632 0.17780 13.6 377.0 2,121 0.21080 13.6 542.0 2,570 0,27620 13.6 701.0 2,538 0.29690 (Copper) 15.0 648.0 2,182 0.45000 15.0 1,205.0 2,678 (3) The mean velocity at the lower limit of the oscillations is inversely proportional to the fluidity. For both mercury and water an elevation of the temperature caused a lowering of the mean velocity at the lower limit of the oscillations. The in- crease in the temperature causes an increase in the fluidity in both cases, (4) Experiments with air and water confirm the law that the mean velocity at the lower limit of the oscillations is inversely proportional to the density of the medium. The number of tarns of the outer cylinder per minute is taken as proportional to the mean velocity, a being a constant. TABLE X"VII.—LAW OF DENSITIES Substance *7 P al Ckppl Water .......... 0 01096 1 0000 56 5 100 Mi ........ 0 00018 0 0012 &on ^ 3Oft There would be still some doubt whether the critical velocity is inversely proportional to the fluidity, but this doubt is re- moved by the work of Coker and Clement (1903) to test this very point. They used a single tube I = 6 ft. R = 0.38 in. measuring the flow of water over a range of temperatures from