A setlling chamber is used to remove sand and grit from the influent water to a wastewater treatment plant. Conditions are: Chamber Height = 3m Chamber Width = 2m Chamber Length = 7m Water Flow Rate = 0.5m3/min Particle Density = 2.65g/cm3 a) What is the minimum settling velocity required for a particle to be required for a particle to be removed by this setlling chamber? Express your answer in units of cm s-1. b) Assume that this or another setlling chamber removes all particles having settling velocities greater or equal to 0.04 cm s-1. What is the minimum particle diameter that would b e entirely removed by such a setlling chamber? Express your answer in units of micrometers.  (For part (b), assume the particle being removed is approximately spherical, and the water is at 22°C (density = 997.7 kg/m3, dynamic viscosity = 0.957x10-3 kgm-1s-1). If you use Stoke’s law as part of your solution, be sure to use the Reynolds number to confirm you are in the laminar flow range.)

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter2: Origin Of Soil And Grain Size
Section: Chapter Questions
Problem 2.14P: A hydrometer test has the following result: Gs = 2.65, temperature of water = 26 C, and L = 10.4 cm...
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A setlling chamber is used to remove sand and grit from the influent water to a wastewater treatment plant. Conditions are:

Chamber Height = 3m

Chamber Width = 2m

Chamber Length = 7m

Water Flow Rate = 0.5m3/min

Particle Density = 2.65g/cm3

a) What is the minimum settling velocity required for a particle to be required for a particle to be removed by this setlling chamber? Express your answer in units of cm s-1.

b) Assume that this or another setlling chamber removes all particles having settling velocities greater or equal to 0.04 cm s-1. What is the minimum particle diameter that would b e entirely removed by such a setlling chamber? Express your answer in units of micrometers. 

(For part (b), assume the particle being removed is approximately spherical, and the water is at 22°C (density = 997.7 kg/m3, dynamic viscosity = 0.957x10-3 kgm-1s-1). If you use Stoke’s law as part of your solution, be sure to use the Reynolds number to confirm you are in the laminar flow range.)

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