Referee report by H. Lamb on 'On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion' by O. Reynolds

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                                The statement, in [para]5(b), that the ordinary 
equations of a viscous fluid are true only when 
the motion is approximately steady, <s>seems <\s> is questionable.
It is perhaps based on the investigation on p.9; but this 
is purely mathematical; and there is, besides, a 
difficulty in seeing the connection between equations 
(7) and (8A). <s>It is he <\s> <s>As it stands, there <\s> It would seem as if there 
had been a slip in writing <u>u<\u> for <u>u[bar]<\u>; but at 
any rate there is need of explanation. <s>The argum <\s> It is 
to be noted that the argument, if valid, would shew 
that there are <u>geometrical <\u> difficulties in the way 
of applying the idea of mean velocity to cases of 
other than steady homogeneous motion.
The essence of the paper lies in the equations 
on pp. 15, 16. If these were clearly established 
a great point would be secured, but the reasoning 
is somewhat obscure, and needs much amplification .
<s>It<\s> The conception of “mean-mean-motion” is a very 
                            
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Manuscript details

Author
Osborne Reynolds
Reference
RR/12/377
Series
RR
Date
1895
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Referee report by H. Lamb on 'On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion' by O. Reynolds, 1895. From The Royal Society, RR/12/377

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