As the velocity V and thus the Reynolds number of a flow past a sphere increases from very low value, the drag force for Re << 1 ?

Correct answer: A. Increases linearly with V

  • A. Increases linearly with V
  • B. Decreases linearly with V
  • C. Decreases as V2
  • D. None of these

Explanation

For a sphere at very low Reynolds number, Stokes' law gives drag force F_D = 3πμdV, so drag increases linearly with velocity. The quadratic dependence on velocity applies to inertial, higher-Reynolds-number conditions.

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