. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. 8 2,380 at c = l-6 and 3,400 at c=l-8: but for higher values it increases very rapidly, and gives 15,700 at c = 3 and 37,250 at c = 4. In the last column in Table I. the values of ^ are given; these were obtained from the calculated total power in each case, and the results are graphed in Fig. 2 on a base of V/n/L. The curve is of the same type as one which has been deduced from the performances of high- speed motor boats.* Column 5 in Table I. gives the percentage which the wav
. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. 8 2,380 at c = l-6 and 3,400 at c=l-8: but for higher values it increases very rapidly, and gives 15,700 at c = 3 and 37,250 at c = 4. In the last column in Table I. the values of ^ are given; these were obtained from the calculated total power in each case, and the results are graphed in Fig. 2 on a base of V/n/L. The curve is of the same type as one which has been deduced from the performances of high- speed motor boats.* Column 5 in Table I. gives the percentage which the wave horsepower is of the total horsepower. It attains a maximum in this case of nearly 50 per cent at about. c = l'8. After this value the ratio diminishes, for the wave resistance begins to approach its limiting value while the frictional resistance continues increasing as V^'*^. If we suppose the total power to vary as V" in the neighbourhood of any given value of V, we can find how the index n varies with the percentage (p) which the wave power is of the total power (E). For we have E=F+iooE=ii^,cv-3, where C is some constant. Since n = V(rfE/rfV)./E, we find * R. E. Froude, Tran-s. Nav. Arch., vol. 48, p. 102 (1906). 66. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Havelock, Thomas, Sir, 1877-. Washington, Office of Naval Research, Dept. of the Navy; for sale by the Superintendent of Documents, U. S. Govt. Print. Off
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