Laufer [5] measured the following data for mean velocity in fully developed turbulent pipe flow at \(R e_{U}=50,000\) :

In addition, Laufer measured the following data for mean velocity in fully developed turbulent pipe flow at \(R e_{U}=500,000\) :

Fit each set of data to the "power-law" profile for turbulent flow, Eq. 8.22, and obtain a value of \(n\) for each set. Do the data tend to confirm the validity of Eq. 8.22? Plot the data and their corresponding trendlines on the same graph.

Transcribed Image Text:

u/U 0.996 0.981 0.963 0.937 0.907 0.866 0.831 y/r 0.898 0.794 0.691 0.588 0.486 0.383 0.280 u/U 0.792 0.742 0.700 0.650 0.619 0.551 y/R 0.216 0.154 0.093 0.062 0.041 0.024