A single phase liquid of viscosity $0\mathrm{.}002Pa-s$ and specific gravity $0\mathrm{.}825$ flows at a rate of

$2\mathrm{.}76{10}^{-3}\frac{m^3}{s}$ through a nozzle$-$type choke of ID $0\mathrm{.}0254m$ in tubing of ID $0\mathrm{.}0508m.$

a$.$ Determine the pressure drop across the choke using the conventional design

equation $q=C_D{A}_{\text{c}\text{h}\text{o}\text{k}\text{e}}\sqrt[\phantom{2}]{2\frac{P}{}}$

Use the Guo and Ghalambor correlation for $C_D,$ Eq$.5\mathrm{.}4$ in the textbook.

b$.$ Calculate the change in kinetic energy across the choke.

c$.$ Calculate the change in total fluid energy $(P+\frac{u^2}{2}{)}_{dn}-(P+\frac{u^2}{2}{)}_{up}$ across the

choke. Is your calculation consistent with the conservation of energy?

d$.$ Calculate how much fluid energy is dissipated irreversibly through the choke.