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Question 1 [20] Spherical particles (diameter = 0.2mm, SG = 1.3) are produced in a process at a rate of 50 000 kg crystals/h. These crystals are then fed to a thickener at a slurry concentration of 300 kg solids/m³ slurry. The settling velocity $u_c$ as a ratio of the terminal settling velocity is given by the following equation $\frac{u_H}{u_T} = \epsilon^{4.2}$ where $\epsilon$ porosity of the slurry ($\epsilon = 1 - \frac{volume\ of\ solids}{total\ volume}$) The SG of the fluid is 1.0 and has a viscosity of 1 cP. Determine the diameter of the thickener when an underflow concentration of 1000 kg/m³ is required. Use a scale factor of 1.2.

          Question 1
[20]
Spherical particles (diameter = 0.2mm, SG = 1.3) are produced in a process at a rate
of 50 000 kg crystals/h. These crystals are then fed to a thickener at a slurry
concentration of 300 kg solids/m³ slurry.
The settling velocity $u_c$ as a ratio of the terminal settling velocity is given by the
following equation
$\frac{u_H}{u_T} = \epsilon^{4.2}$
where $\epsilon$ porosity of the slurry ($\epsilon = 1 - \frac{volume\ of\ solids}{total\ volume}$)
The SG of the fluid is 1.0 and has a viscosity of 1 cP.
Determine the diameter of the thickener when an underflow concentration of
1000 kg/m³ is required. Use a scale factor of 1.2.

Question 1
[20]
Spherical particles (diameter = 0.2mm, SG = 1.3) are produced in a process at a rate
of 50 000 kg crystals/h. These crystals are then fed to a thickener at a slurry
concentration of 300 kg solids/m³ slurry.
The settling velocity uc as a ratio of the terminal settling velocity is given by the
following equation
(uH)/(uT) = ϵ^4.2
where ϵ porosity of the slurry (ϵ = 1 - (volume of solids)/(total volume))
The SG of the fluid is 1.0 and has a viscosity of 1 cP.
Determine the diameter of the thickener when an underflow concentration of
1000 kg/m³ is required. Use a scale factor of 1.2.

Added by Shane W.

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