GATE 2023 AG – Question 27

Dairy and Food Engineering · Unit Operations in Dairy and Food Engineering · 1 mark · Multiple choice

In a cream separator, fat-globule diameter halves and centrifuge speed triples. How does terminal separation velocity change?

Decreases to .44 times
Increases to .44 times
Decreases to 2.25 times
Increases to 2.25 times

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Correct answer: (D) Increases to 2.25 times

Explanation

Under Stokes centrifugal settling, terminal radial velocity scales as $d^2\omega^2$ for fixed fluid properties and radius. The change factor is $(1/2)^2(3)^2=9/4=2.25$. Thus it **increases to 2.25 times, D**. Both diameter and rotation enter quadratically.

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