For the laminar flow of a fluid in a circular pipe of radius R, the Hagen-Poisseule equation predicts the volumetric flow rate to be proportional to____________________?

Correct answer: C. R4

  • A. R
  • B. R2
  • C. R4
  • D. R0.5

Explanation

The Hagen–Poiseuille relation gives Q = πΔP R⁴/(8μL) for laminar flow in a circular tube. Thus, a small increase in radius produces a fourth-power increase in flow rate.

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