Answer Happy

1. What are the drawbacks of method of repeating variables to perform dimensional analysis? Suggest another method that can overcome the drawbacks. 2. Determine the nondimensional relationship for a power input to a pump, P which is a function of; a. Volume flow rate to the pump, V b. Pump impeller diameter, D c. Rotational rate, w d. Fluid density, e. Fluid viscosity, 3. When a fluid flow past a cylindrical body, flow separation occurs in which vortices are shed from the top and bottom of the body alternately as shown in Figure 3 where A and C represent the vortices from top side while B represents the vortices from the bottom side of the body. The frequency of the vortex shedding, fo is a function of the incoming velocity u, cylinder diameter D, density p and viscosity u of the fluid. Find the nondimensional relationship of fo and what is the significance of it. А e B o Figure 3: Flow past a cylindrical body