The pressure drop across a short hollowed plug placed in a circular tube through which a liquid is flowing (see Fig. P7.40) can be expressed as

\[ \Delta p=f(ho, V, D, d) \]

where \(ho\) is the fluid density, and \(V\) is the mean velocity in the tube. Some experimental data obtained with \(D=0.2 \mathrm{ft}, ho=2.0 \mathrm{slugs} / \mathrm{ft}^{3}\), and \(V=2 \mathrm{ft} / \mathrm{s}\) are given in the following table:

Plot the results of these tests, using suitable dimensionless parameters, on a \(\log -\log\) scale. Use a standard curve-fitting technique to determine a general equation for \(\Delta p\). What are the limits of applicability of the equation?

Figure P7.40

Transcribed Image Text:

d (ft) 0.06 Ap (lb/ft) 493.8 0.08 0.10 0.15 156.2 64.0 12.6