Compare predictions of the Prandtl/von Karman universal resistance law and the Heng, Chan, Churchill/Zajic relation for the friction factor in smooth tube flow, equation (14.84).

a. Plot the friction factor predictions for Reynolds numbers between \(10^{4}\) and \(10^{7}\).

b. What is the difference in power required to pump \(1 \mathrm{~m}^{3} / \mathrm{s}\) of water at \(25^{\circ} \mathrm{C}\) through a \(40 \mathrm{~cm}\) diameter pipe, \(1 \mathrm{~km}\) long, based on your calculations in part (a).

Transcribed Image Text:

1/2 ( 2 1/2 = 3.2-454 Rea +10000 (3/c,) Red 1/2 +2.294 In Red 11/2 [ 2 (/c,)" ] (14.84)