Repeat Prob. 7–51 except do not assume that the tank is large. Instead, let tank diameter D_tank and average liquid depth h_tank be additional relevant parameters.

Data from Exercises 51

A stirrer is used to mix chemicals in a large tank (Fig. P7–51). The shaft power Ẇ supplied to the stirrer blades is a function of stirrer diameter D, liquid density r, liquid viscosity μ, and the angular velocity ω of the spinning blades. Use the method of repeating variables to generate a dimensionless relationship between these parameters. Show all your work and be sure to identify your ∏ groups, modifying them as necessary

Figure 7-51

P, W D W