Problem 5. Estimate the terminal settling velocity (m/s) of a spherical particle (density 2650 kg/m³) with a diameter of 0.5 mm in water. Assume the water is at 20°C (density = 998.2 kg/m', dynamic viscosity = 1.002x10* kgm'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). %3|

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter7: Seepage
Section: Chapter Questions
Problem 7.1P
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Problem 5. Estimate the terminal settling velocity (m/s) of a spherical particle (density 2650
kg/m') with a diameter of 0.5 mm in water. Assume the water is at 20°C (density = 998.2 kg/m',
dynamic viscosity = 1.002x10* kgm'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).
-3
%3D
Transcribed Image Text:Problem 5. Estimate the terminal settling velocity (m/s) of a spherical particle (density 2650 kg/m') with a diameter of 0.5 mm in water. Assume the water is at 20°C (density = 998.2 kg/m', dynamic viscosity = 1.002x10* kgm'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). -3 %3D
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