A large heat exchanger needs to be scaled down in size for construction of a pilot plant. We believe that a dimensional function, f, exists for its heat transfer coefficient, h (watts/m-K). Assume it is of the following form: h = f (p, U, cp) Where, U is a characteristic flow velocity in the heat exchanger, p is the density of the fluid, and "Cp" is the specific heat of the fluid. Assume only a single dimensionless value is needed, in place of h, for proper scaling. In this case: = a constant Create the dimensionless group , by using the set of parameters given. All work must be shown to get to the final result (i.e. the process you use).