The pressure drop across a short hollowed plug placed in a circular tube through which a...

The pressure drop across a short hollowed plug placed in a circular tube through which a liquid is flowing (see Fig. P7.23) can be expressed as

where _ is the fluid density and V is the mean velocity in the tube. Some experimental data obtained with D = 0.2 ft, p = 2.0 slugs/ft³, and V = 2 ft/s are given in the following table:

Plot the results of these tests, using suitable dimensionless parameters,

on log–log graph paper. Use a standard curve-fitting technique to determine a general equation for . What are the limits of applicability of the equation?