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

A $$\frac{1}{2}$$w<sup>2</sup>.R<sup>2</sup>.ρL
B $$\frac{1}{2}$$w<sup>2</sup>.δ<sup>2</sup>.ρL
C $$\frac{1}{2}$$w<sup>2</sup>.δ.ρL(2R + δ)
D $$\frac{1}{2}$$w<sup>2</sup>.R.ρL(R + 2δ)

Correct Answer: $$\frac{1}{2}$$w<sup>2</sup>.δ.ρL(2R + δ)

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