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Statement I: Reducing stack diameter at constant flow raises exit velocity.

Statement II: Velocity is the volumetric flow divided by the cross-sectional area.

In the light of the above statements, choose the correct answer.

  • A.Both Statement I and Statement II are correct
  • B.Both Statement I and Statement II are incorrect
  • C.Statement I is correct but Statement II is incorrect
  • D.Statement I is incorrect but Statement II is correct

Answer: A

Correct answer: Both Statement I and Statement II are correct

Statement II is simply the arithmetic behind statement I. With \(v = Q/A\) and \(A = \pi d^2/4\), reducing the diameter at constant flow raises velocity as \(1/d^2\). The cost is a draught loss rising roughly with \(v^2\).

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