314 G. H. KNIBBS. 
On tHE STEADY FLOW or WATER in UNIFORM PIPES 
anpD CHANNELS. 
By G. H. Knrpps, F.R.A.8., 
Lecturer in Surveying, University of Sydney. 
[Read before the Royal Society of N. 8. Wales, December 1, 1897.] 
1. Introduction 
2. The motion of water in a pipe or chann el, 
3. Velocity in elliptical pipe with can rectilinear flow. 
4. Values of the ‘ fluidity’ and ‘ viscosi 
5. Instability of rectilinear flow in pipes 
6. The rationalization of Reynold’s Jectsatie for rectilinear flow in 
pipes. 
7. Hagen’s discussion of linear and non-linear flow in pipes in 1853. 
8. General conception of the turbulent régime. 
9. Defects of the ordinary velocity form 
10. octane proof of St.Venant’s ta 9% viz., that U" o I for pipes. 
11. On the determination of k” in the expression U" = k’I. 
12. piney a that the temperature function is f41; f being 
the ‘fluidit. 
13. SAsgNere supposed law, that q = 2-n not experimentally 
io. - k’, or U®, or of U. 
‘a Reynolds’ theory, that U" « N~" R*®, inconsistent with experi- 
ment. 
16, Proof that the parabolic elation U" oe R™ is experimentally 
justified for flow in 
17. An —— generalization of gs eprge q and m, considered as 
ectively with n EK. 
21. Corrected hydraulic radius for ines: — we 
2. On the investigation of the law of flow in channe 
23. The index of roughness (n) probably a function a ie kori (1). 
24. The — bee = hye — —— vane Fadlgan* the ra 
25. D 
We AUL 
oN? 
of chasse: 
26. indicative for further experimental investigation with pipes and 
channels. Conclusion. 
