A centrifugal filtration unit operating at a rotational speed of w has inner surface of the liquid (density ρL) located at a radial distance R from the axis of rotation. The thickness of the liquid film is δ and no cake is formed. The initial pressure drop during filtration is ___________________?
Correct answer: C. ½w2 . δρL (2R + δ)
- A. ½w2 . R2 . ρL
- B. ½w2 . δ2 . ρL
- C. ½w2 . δρL (2R + δ)
- D. ½w2 . R . ρL(R + 2δ)
Explanation
The centrifugal pressure difference across the film is obtained by integrating ρLω²r from R to R+δ, giving ½ρLω²[(R+δ)²−R²] = ½ω²δρL(2R+δ).
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