A fluid flows through the horizontal curved pipe of Fig.

Chapter 7, Problem 7.41

(choose chapter or problem)

A fluid flows through the horizontal curved pipe of Fig. P7.41 with a velocity V. The pressure drop, \(\Delta p\), between the entrance and the exit to the bend is thought to be a function of the velocity, bend radius, R, pipe diameter, D, and fluid density, \(\rho\). The data shown in the following table were obtained in the laboratory. For these tests \(\rho= 2.0~ \mathrm{slugs/ft^3}\), R = 0.5 ft, and D = 0.1 ft. Perform a dimensional analysis and based on the data given, determine if the variables used for this problem appear to be correct. Explain how you arrived at your answer.