For laminar flow of a fluid through a packed bed of spheres of diameter d, the pressure drop per unit length of bed depends upon the sphere diameter as_________________?

Correct answer: D. d̅ 2

  • A. d
  • B. d2
  • C. d4
  • D. d̅ 2

Explanation

In the viscous, low-Reynolds-number part of packed-bed flow, the Ergun relation contains the particle-size dependence 1/d². Thus the pressure drop per unit length varies inversely with the square of sphere diameter, represented by option d.

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