A Pressurized Water Reactor $1515$ reload fuel assembly has $204$ fuel rods with $0\mathrm{.}422$ inch diameters on a $0\mathrm{.}563$ inch square pitch. There are $21$ guide tube thimbles in the assembly with a diameter of $0\mathrm{.}533$ inches. The fuel assembly has a pitch of $8\mathrm{.}466$ inches. For a system pressure of $2250$ psia, a bulk fluid temperature of $580$F$,$ and an assembly mass flux of $2\mathrm{.}5{10}^{6}lb\frac{m}{h}r-f{t}^2$ in the rodded region of the bundle. The fluid properties are given as:

$=44\mathrm{.}81\frac{lbm}{f{t}^3},c_p=1\mathrm{.}322\frac{\text{B}\text{T}\text{U}}{lbm-F},k=0\mathrm{.}3188\frac{\text{B}\text{T}\text{U}}{hr-ft-F},=0\mathrm{.}2188\frac{lbm}{ft-hr}$

determine the single phase pressure drop from the inlet nozzle to the top of the fuel assembly. The fuel rod length is $12$ feet. The top and bottom nozzles are each $6$ inches high for an overall assembly length of $13$ feet. There are $8$ spacer grids equally spaced along the rod bundle. The top and bottom grids are egg crate style grids which have a blockage ratio of $24\%$ of the bundle flow area. The remaining $6$ grids are mixing vane grids which a grid blockage ratio of $23\%$ of the bundle flow area and a mixing vane blockage of $30\%$ of the bundle flow area. The inlet fuel nozzle has a loss coefficient of $2\mathrm{.}5,$ and the exit nozzle has a loss coefficient of $2\mathrm{.}0.$ Both of the nozzle loss coefficients account for the contraction$/$expansion of the flow from the plenum regions into the rodded regions. The flow area through the nozzles is $60\%$ of the open area characterized by the assembly pitch$($For determining the rod friction factor, use the correlations given in the notes for a smooth tube McAdams$/$Blausis and for both spacer grids, $c_v=6\mathrm{.}5$ and use Yao et al$.$ model$)(5$ points$)$