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A level Physics · Edexcel 9PH0 · Topic 4B

Fluid flow and viscosity

Key points

  • In laminar flow the fluid moves in smooth layers with no mixing; velocity at a point stays constant. In turbulent flow there are eddies and the velocity changes randomly.
  • Flow tends to become turbulent at higher speeds and around sharp edges; streamlining keeps flow laminar and reduces drag.
  • Viscosity (η\eta, unit Pa s) is a measure of a fluid's resistance to flow. For liquids it decreases as temperature rises.
  • Stokes' law: viscous drag on a small sphere moving slowly with laminar flow is F=6πηrvF = 6\pi\eta rv.
  • At terminal velocity: weight = upthrust + viscous drag, so the sphere stops accelerating.
  • Core practical: time a ball bearing falling between marks in a tall tube of liquid (e.g. glycerol), check it has reached terminal velocity, then calculate η\eta. Keep the temperature constant.

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Fluids resist objects moving through them and resist flowing themselves. This sub-topic describes the two kinds of flow, defines viscosity and uses Stokes' law in core practical 4 to measure the viscosity of a liquid.

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