Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in Fig. P5.122. The velocity and pressure upstream are uniform at \(10 \mathrm{~m} / \mathrm{s}\) and \(50 \mathrm{~N} / \mathrm{m}^{2}\), respectively. At the pipe exit the velocity is nonuniform as indicated. The shear stress along the pipe wall is negligible.

(a) Determine the head loss associated with a particle as it flows from the uniform velocity upstream of the object to a location in the wake at the exit plane of the pipe.

(b) Determine the force that the air exerts on the object.

Figure P5.122

Transcribed Image Text:

2-m-dia. Air -4 m/s Wake 1-m dia. 1 p = 50 N/m Exit V = 10 m/s -12 m/s