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.)

Structural Analysis
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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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