338 



Turbulent Flow in Pipes and Channels. 



Table of Theoretical and Experimental values of Reynolds's 

 Constant relating to the Flow of Fluids in Channels and 

 Pipes: K = DU /0 / A 6. 



Flow in Circular Pipes. 



Authority. Reference. 



Method. 



<H fSharpe Trans. Am. Math. Soc Theoretical. 



.2 I vol. vi. p. 496, 1905. 



~2 «j Sharpe Theoretical. 



8 | Orr See footnote (20), p. 134, Theoretical. 



g L 1907. 



Reynold? 



Couette 



Barnes and 



Coker. 



Morrow 



. Stanton and 



a * Pannell. 



o 



Ruckes 

 Sorkan . 



See footnote (21), 1883. 



Ann. Chim. et Phys. (6) 

 vol. xxi. p. 433 (quoted 

 by Orr), 1890. 



See footnote (30), 1904. 



See footnote (32), 1905. 

 See footnote (34), 1914. 



See footnote (37), 1908. 

 See footnote (36), 1915. 



Colour-hand and 

 pressure-gradient. 



Value of It and 



Remarks. 



470 



363 (corrected by Orr). 

 180 



1900-2000 

 2150 



I 



"Grindley and 



Gibson. 

 Fry and 



Tyndall. 



Dowling 



Kohlrausch. . 



See footnote (38), 



See footnote (40), 



See footnote (42), 

 See footnote (41), 



1908. 



1911. 



1912. 

 1914. 



Stanton and 

 Pannell. 



See footnote (34), 1914. 



f Colour-band, pressure- 

 <J gradient, and special 

 1^ thermal method. 

 C Distribution of velocity 

 I by Pitot tube. 

 f Extensive observations 



on air and water bj- 

 -I pressure - gradient 



and velocity-distri- 

 t_ butions. 

 ( Flow in capillaries : 

 (_ pressure-gradient. 



C Extensive observations 

 j on water and pure 

 I organic fluids: pres- 

 to sure-gradient. 



fl950 and with pre- 

 ! cautions as high as 

 L 4360. 



1980 



rPrinciple of dynamical 

 <; similarity estab- 

 L lished. K-=2500. 



f 2000 and in some cases 

 A 3000-5000. Metal 

 1^ tubes 450. 

 C K=413'4 to K=410-5 

 i for water. 



(Pre 



I 1 



■essure - gradient in 

 long lead tube. 

 ( Velocity-distribution 

 \ by Pitot tube. 



Ionization method. 

 fPressure-gradient and 

 <( velocity-distribution 

 L by Pitot tube. 

 See above. 



2200 



2500 



2500 

 2080 



2500 



Flow in Two-dimensional Channels. 



H f Reynolds ... See footnote (21), 1894. Theoretical. 



■3 ^ 



2 <{ Sharpe See above. Theoretical. 



1 I 



H I.Oit See footnote (20), p. 130. Theoretical. 



517 

 167 

 117 



Note. — The only experiments available on the flow of air in two-dimensional 

 channels are those obtained by the writer by means of the linear hot-wire 

 anemometer; it appears from these observations that there exist a series of 

 critical velocities, of which the more prominent seem to correspond to those 

 calculated by Reynolds, Sharpe, and Orr. 



