Repeat Prob. 1599 by considering the more general form of Stokes law expressed as F D =

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Repeat Prob. 15–99 by considering the more general form of Stokes law expressed as FD = 3πμDV + (9π/16)ρV2D2 where r is the fluid density.

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During an experiment, three aluminum balls (ρs = 2600 kg/m3) having diameters 2, 4, and 10 mm, respectively, are dropped into a tank filled with glycerin at 22°C (ρf = 1274 kg/m3 and μ = 1 kg/m·s). The terminal settling velocities of the balls are measured to be 3.2, 12.8, and 60.4 mm/s, respectively. Compare these values with the velocities predicted by Stokes law for drag force FD = 3πμDV, which is valid for very low Reynolds numbers (Re << 1). Determine the error involved for each case and assess the accuracy of Stokes law.

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Fundamentals of Thermal-Fluid Sciences

ISBN: 978-0078027680

5th edition

Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala

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