. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. Fig. 5. the beam being 2 b and the length 2 I. It can be shown that, on the usual mathematical theory, the waves in the rear of the model approximate to 8& â ^k: I cos {k I sec 9) â cos 6 sin {k I sec d)^ sin {x, y) dd . (12) This might be regarded as a sine pattern with a somewhat complicated amplitude factor; but fortunately we can dissect it into simpler components, for it is identically equal to. sin {x hy) + âJ sin {x + I, y) 9 * g-1^ g^ V' l,y)\de (13) Here the pattern is seen
. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. Fig. 5. the beam being 2 b and the length 2 I. It can be shown that, on the usual mathematical theory, the waves in the rear of the model approximate to 8& â ^k: I cos {k I sec 9) â cos 6 sin {k I sec d)^ sin {x, y) dd . (12) This might be regarded as a sine pattern with a somewhat complicated amplitude factor; but fortunately we can dissect it into simpler components, for it is identically equal to. sin {x hy) + âJ sin {x + I, y) 9 * g-1^ g^ V' l,y)\de (13) Here the pattern is seen to be the combined result of superposing foiir simple patterns, two focussed at the bow and two at the stern. The first two are simple sine patterns, with constant amplitude factors at a given speed; they may, in fact, be attributed directly to the finite angle of the model at the bow A and at the stern B respectively. The other two terms in (13) are cosine patterns, with an amphtude factor cos 0 in each case; although one is focussed at the bow and the other at the stern, it is more appropriate to regard these two terms together as representing the resultant effect of the curved sides ACB and A D B of the model. A matter of great interest is the mutual interference of these four patterns according to the speed, the extent to which it is possible to make the crests of one pattern coincide with the troughs of another and the speeds at which maximum effects of this kind occur; however, these points are better considered in connection with the corresponding wave resistance. 383. 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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Keywords: ., bookcentury1900, bookcollectionbiodive, booksubjecthydrodynamics
