Question

# Problem 4. An approximately spherical particle with a diameter of 0.5 mm and a specific gravity...

Problem 4. An approximately spherical particle with a diameter of 0.5 mm and a specific gravity of 2.5 is released in water with a temperature of 25 °C (density = 997 kg/m3 , dynamic viscosity = 0.890 x 10-3 kgm-1 s -1 ). How far does the particle to travel in 3 s? [Hint: to solve this problem, initially assume laminar flow and use Stoke’s law to estimate the settling velocity of the particle. Then check the Reynolds number. If it is out of the laminar range, use the Stoke’s law estimate and Reynolds number as your initial estimates in solving the problem iteratively using Newton’s law. Perform your iterative solution with Newton’s law using Excel, either “by hand,” or using the iterative calculation function, and attach your spreadsheet).

Note: There are several other good examples and problems for you to practice these concepts in your textbook's Chapter 4 (e.g., heat energy problem 4-19; particle settling problems 4-22, 4-24,

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