Concept explainers
The error involved in each case and the accuracy of Stokes law.
Explanation of Solution
Given:
The density of aluminum balls is,
Temperature of glycerin is,
The density of glycerin is,
The viscosity of glycerin is,
The diameter of the aluminum balls are,
The terminal velocities are,
Calculation:
From the force balance,
Case 1:
The terminal velocity is,
The error in terminal velocity is,
Thus, the error in the terminal velocity is
The Reynolds number is,
Case 2:
The terminal velocity is,
The error in terminal velocity is,
Thus, the error in the terminal velocity is
The Reynolds number is,
Case 3:
The terminal velocity is,
The error in terminal velocity is,
Thus, the error in the terminal velocity is
The Reynolds number is,
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Chapter 15 Solutions
Fundamentals of Thermal-Fluid Sciences
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