Question: You are trying to simulate dynamically the cooling system of a proposed sodium-cooled nuclear reactor by constructing a 1:4 model of the cooling system using water. These water experiments are to be carried out at 7OoF and will simulate flowing sodium at 1000°F. Data on sodium reactor:

Hydraulic diameter = 4(flow cross-sectional area) = 1.768 x 10^-2 ft
                                   wetted perimeter

(This replaces the ordinary tube diameter for flows in noncircular channels.) Bulk sodium velocity = 20 ft/s. Pressure drop across the core = 30 psig. For the water model to be dynamically similar,

a. What must the water velocity be?

b. What is the expected pressure drop in the water model?