An ultrafiltration system for concentrating milk has a membrane area of 0.5 m2,

Question

An ultrafiltration system for concentrating milk has a membrane area of 0.5 m2, and the permeation rate for water and low molecular weight solutes through the membrane is 3000 g/(m2 = min). The solids content of the permeate is 0.5%. Milk flow through the membrane system must be maintained at 10 kg/min to prevent fouling. If milk containing initially 91% water enters the system, and a concentrate containing 81% solids is desired, calculate:

(a) The amount of concentrate produced by the unit/h.

(b) The fraction of total product leaving the membrane that must be recycled to achieve the desired solids concentration in the product.

(c) The solids concentration of feed entering the unit after the fresh and recycled milk are mixed.

Explanation / Answer

This question belongs to food processing subject, not Physics. Still, I can give you some direction on how to solve. Please post questions in the relevant subject section.

go to following Pdf. page 11.

https://link.springer.com/content/pdf/10.1007/0-387-29241-1_3.pdf

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