10_7_09_10_9_09 - o I— 7 a C wl “Loiinfifi 5 SHE...

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Vaf‘IQc/b Gapcaf l""3"fT/'5£§ W} N an a 1‘5: 03% charm rfl cf: ‘i’jigq; £13): Va; .0")! L2 '1 (Tijva ;:4...4;.m gr-aupmfir’: cm “1/16, ordm 34:3 fian «mgmwn-E . Figure 2.2: Correlation of measured force on a sphere using pF/p2. Perhaps the most remarkable thing we have shown is that our measurements fall on the same curve even if one set of experiments is done in water and another in air. That is, dimensional analysis tells us that regardless of the fluid used, the (appropriately scaled) force depends only upon Reynolds number. This is a remarkable fact, and certainly not an intuitive one, whose discovery would require a large number of experiments varying p, U, D and ,u, independently. Nevertheless, we have discovered this fact with no knowledge of the complexities involved in viscous flow past a sphere, of which there are many. ...
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