1. What are the drawbacks of method of repeating variables to perform dimensional analysis? Suggest another method that

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1 What Are The Drawbacks Of Method Of Repeating Variables To Perform Dimensional Analysis Suggest Another Method That 1 (110.18 KiB) Viewed 14 times

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