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Boundary Lyer Theory

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642 XXI. Ttlrbulent boundnry lnycn nt zero prcwtlrn gradient<br />

Tnble 21.1. Itcniutnnce forrndn for flat plnte computcd front the lognritlimic velocity profile<br />

in eqns (21.14) and (21.15); sec curve (3) in Fig. 21.2<br />

R,. 10-8<br />

0-107<br />

0.225<br />

0.355<br />

0548<br />

0,864<br />

1.20<br />

2.07<br />

343<br />

6.43<br />

9.70<br />

18.7<br />

34.3<br />

51.8<br />

102<br />

229<br />

125<br />

768<br />

1576<br />

l~ergcr [67] on cloth-covered glazctl platcs lio somewhat above t,he turl~ulent. curve (2),<br />

which would indicate that, there was no substantial laminar length in his expcrimenb<br />

mil that the roughness was small. The measurcme~it~s duc to P. Gebers [10], which<br />

mngc from R, = 10"m 3 x lo7, fall on tlic transition curve (3a), cqn. (21.1Ga), at<br />

the lower end of the mngc. At thc higher Reynolds numbers his results lie on curve (3)<br />

from eqn. (21.16). 'l'he measurements reported by K. E. Schoenherr [50] also show<br />

good agreement with tlicory. 'l'hc highest Reynolds numbers have been whieved<br />

hy (2. I

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