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A stirrer is used to mix chemicals in a large tank (Fig.

Chapter 7, Problem 52P

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QUESTION:

Problem 52P

A stirrer is used to mix chemicals in a large tank (Fig. P7-55). The shaft power  supplied to the stirrer blades is a function of stirrer diameter D, liquid density ρ, 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 Π groups, modifying them as necessary.

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QUESTION:

Problem 52P

A stirrer is used to mix chemicals in a large tank (Fig. P7-55). The shaft power  supplied to the stirrer blades is a function of stirrer diameter D, liquid density ρ, 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 Π groups, modifying them as necessary.

ANSWER:

Problem 52P

                                                               

                                                             Step by Step Solution

Step 1 of 11

There are five parameters in this problem

Therefore

The five parameters are

 shaft power

D stirrer diameter

 Fluid density

 Fluid viscosity

 Angular velocity      

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