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A stirrer is used to mix chemicals in a large tank (Fig.
Chapter 7, Problem 52P(choose chapter or problem)
Problem 52P
A stirrer is used to mix chemicals in a large tank (Fig. P7-55). The shaft power Ẇ 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.
Questions & Answers
QUESTION:
Problem 52P
A stirrer is used to mix chemicals in a large tank (Fig. P7-55). The shaft power Ẇ 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