. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. The cross-marks on the curves indicate the spaces covered in successive equal intervals of time by particles which were simultaneously at similar points (B) of their paths. 2.—With the help of these curves we can trace the changes in any line containing always the same particles. For this purpose we draw the relative stream lines given by (1), for the same values of 6/a as are shown in Fig. 2. We superpose this diagram on Fig. 2, with the axes of x coinciding, and draw a curve through t
. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. The cross-marks on the curves indicate the spaces covered in successive equal intervals of time by particles which were simultaneously at similar points (B) of their paths. 2.—With the help of these curves we can trace the changes in any line containing always the same particles. For this purpose we draw the relative stream lines given by (1), for the same values of 6/a as are shown in Fig. 2. We superpose this diagram on Fig. 2, with the axes of x coinciding, and draw a curve through the intersections of corresponding actual and rela- tive paths; displacing cue diagram parallel to the direc- tion of motion, we mark again the intersections and obtain the displaced position of the same set of particles. For instance, with the actual paths as in Fig. 2, we obtain by this method the successive positions of a line of par- ticles which at some instant nsufE 2 formed a straight line abreast of the cylinder; these curves are shown for one quadrant in Fig. 3. The diagram can also be described in another manner. The cylinder moves from left to right. At the instant repre- sented in Fig. 3, AB is a line of particles abreast of the cylinder; the successive curves to the left are the present positions of particles which were abreast of the cylinder at certain equal intervals of time previously. The unit of time T is that taken by the cylinder to move through one-quarter of its diameter. Thus the curve C'D'Ei represents the present position of particles which were abreast of the cylinder at CDE at a time 5T previously. It^may be noticed that the circumference of the cylinder forms part,. 85. 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 Rese
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Keywords: ., bookcentury1900, bookcollectionbiodive, booksubjecthydrodynamics
