Given: Air with a density
\rho =1.2k(g)/(m^(3))
and viscosity
\mu =1.8\times
10^(-5)(N)/(()/())
cdotps
()/(m^(2))
is flowing through a pipe as shown in the figure. The pipe has diameters
D_(1)=10cm
and
D_(2)=5cm
. Both pipes are smooth. The lengths are
L_(1)=1m
and
L_(2)=1m
. The flow rate is
0.05(m^(3))/(s)
. Answer the following questions (Assume gravitational acceleration
g=9.81(m)/(s^(2))
): (a) Using a manometer to measure the pressure difference between the inlet and outlet of the valve, the height difference
h=1.68cm
is obtained. The manometer is filled with a liquid of density
200k(g)/(m^(3))
. What is the valve's loss coefficient? (b) Determine the minor loss in meters from the pipe inlet to the outlet. (c) Determine the major loss in meters from the pipe inlet to the outlet. (d) Calculate the power required to move the air through the pipe.