A liquid is draining from a cylindrical vessel through a tube in the bottom of the vessel, as illustrated in Figure P7.45. The liquid has a specific gravity of 1.2 and a viscosity of $2 \mathrm{cP}$. The entrance loss from the tank to the tube is 0.4 , and the system has the following dimensions: $D=2$ in. $, \quad d=3 \mathrm{~mm}, \quad L=20 \mathrm{~cm}, \quad h=5 \mathrm{~cm}, \quad \varepsilon=0.0004 \mathrm{in}$.

(a) What is the volumetric flow rate of the liquid, in $\mathrm{cm}^{3} / \mathrm{s}$ ?

What would the answer to (a) be if the entrance loss were neglected?

(b) Repeat part (a) for a value of $h=75 \mathrm{~cm}$.

Figure P7.45

D- h d L