A pilot-scale disc stack centrifuge is tested for recovery of bacteria. The centrifuge contains 25 discs with inner and outer diameters of 2 cm and 10 cm, respectively. The half-cone angle is 35. When operated at a speed of 3000 rpm with a feed rate of 3.5 litres per min, 70% of the cells are recovered. If a bigger centrifuge is to be used for industrial treatment of 80 litres per min, what operating speed is required to achieve the same sedimentation performance if the larger centrifuge contains 55 discs with outer diameter 15 cm, inner diameter 4.7 cm, and half-cone angle 45.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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F = 2U Σ
Problem 3
A pilot-scale disc stack centrifuge is tested for recovery of bacteria. The centrifuge contains 25 discs with inner
and outer diameters of 2 cm and 10 cm, respectively. The half-cone angle is 35. When operated at a speed of
3000 rpm with a feed rate of 3.5 litres per min, 70% of the cells are recovered. If a bigger centrifuge is to be
used for industrial treatment of 80 litres per min, what operating speed is required to achieve the same
sedimentation performance if the larger centrifuge contains 55 discs with outer diameter 15 cm, inner diameter
4.7 cm, and half-cone angle 45.
HONORE
2Πω2(Ν – 1)
3gtano
Q₁ Q₂
2-2
>₁
1₂
|||
(r³-ri)
Transcribed Image Text:F = 2U Σ Problem 3 A pilot-scale disc stack centrifuge is tested for recovery of bacteria. The centrifuge contains 25 discs with inner and outer diameters of 2 cm and 10 cm, respectively. The half-cone angle is 35. When operated at a speed of 3000 rpm with a feed rate of 3.5 litres per min, 70% of the cells are recovered. If a bigger centrifuge is to be used for industrial treatment of 80 litres per min, what operating speed is required to achieve the same sedimentation performance if the larger centrifuge contains 55 discs with outer diameter 15 cm, inner diameter 4.7 cm, and half-cone angle 45. HONORE 2Πω2(Ν – 1) 3gtano Q₁ Q₂ 2-2 >₁ 1₂ ||| (r³-ri)
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