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• W637572468 abstract "A I A H E investigations described in the present paper -*• were concerned with a study of the mechanism of fully developed turbulent flow between straight parallel walls. The method used was that of the hot wire anemometer, whereby a fine electrically heated wire was introduced into the flow to be studied. Defining u' as the instantaneous value of the component of velocity fluctuation in the direction of a parallel flow of mean velocity u, and v as the component of fluctuation normal to the flow, the present experiments consisted of measurements of root mean square values of u and v'', as well as the correlation between them. Fig. 1 represents a sample of such a fluctuation field where the origin 0 is taken for the condition u = it, v = 0. Reynolds, in his theory of turbulent interchange, expresses the shearing stress arising from the momentum transport due to turbulence, in two-dimensional mean flow, as T = — pu'v'. I t is well known that for a fully developed parallel flow in a straight channel, the friction, r, varies linearly from a value (dp/dx) (b/2) at the wall, through zero at the channel center to — (dp/dx) (b/2) at the other wall, where dp/dx is the pressure drop along the channel and b is the channel breadth. Hence the distribution of u' v across the channel may be calculated directly from the pressure drop. Applying the principles of statistics to the fluctuation pattern illustrated in Fig. 1, we have that the correlation moment between u' and v is given by u' i/ while the scattering of u' is given by (y/^y and that of v' by (y~:2)% as discussed by Bateman. The correlation coefficient is defined as u' v/ (^/~)* (y~) This factor is obtained by the present measurements in that u' v is calculated from the pressure drop and values of (vT^Y and (z7~~)' directly from the hot-wire measurements. Knowledge of the correlation factor is important for a full characterization of turbulent flow and reference is made to a paper by von K a r m a n 3 for further discussion of its significance." @default.
• W637572468 created "2016-06-24" @default.
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• W637572468 date "1936-04-01" @default.
• W637572468 modified "2023-09-24" @default.
• W637572468 title "Investigations of Velocity Fluctuations in a Turbulent Flow" @default.
• W637572468 cites W2013091922 @default.
• W637572468 doi "https://doi.org/10.2514/8.202" @default.
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