Air (1.23 kg/m³) flows past an object in a 2-m-diameter pipe and exits as a free jet as shown in the figure below. The velocity and
pressure upstream are uniform at $V$ = 14 m/s and $p$ = 43 N/m², respectively. At the pipe exit the velocity is non-uniform as
included. The shear stress along the pipe wall is negligible. (a) Determine the head loss associated with a fluid streamline as it
flows over a solid body from the upstream region of uniform velocity to the wake region at the exit plane of the pipe. (b)
Determine the force that the air puts on the object.
Assume $V_1$ = 17.3 m/s, $V_2$ = 4 m/s.
(c)
(d) Wh
Part 2
Consider the momentum flux and external forces at the entrance plane.
(a) What is the upstream gage pressure? $p_1$ =
(b) What is the force due to pressure at the entrance plane? $F_{p1}$ =
(c) What is the density of the fluid? $\rho$ =
(d) What is the uniform velocity at the entrance, upstream of the object? $V_1$ =
m/s
(e) What is the area associated with this entrance velocity? $A$ =
(f) What is the momentum flux at the entrance plane? $R_1$ =