A sphere of diameter 10 mm and density 7700 kg/ m3 falls under gravity at terminal conditions through a liquid of density 900 kg/ m3 in a tube of diameter 12 mm. After reaching terminal velocity, the ball falls 5 cm in 31.3 seconds.  Using the Francis wall correction factor: fw = (1-x/D)2.25  where x is the particle diameter and D is the diameter of the tube and fw is the wall factor (the velocity in the tube / velocity in an infinitely large tube), determine the:    a) viscosity (Pa s) of the fluid if Stokes law applies (Correct Answers: 4.118) b) Reynolds number if the fluid viscosity is given in the previous part (Correct Answers: 0.1967) c) minimum viscosity where the Re <= 0.3 (Correct Answers: 2.7)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A sphere of diameter 10 mm and density 7700 kg/ m3 falls under gravity at terminal conditions through a liquid of density 900 kg/ m3 in a tube of diameter 12 mm. After reaching terminal velocity, the ball falls 5 cm in 31.3 seconds.  Using the Francis wall correction factor: fw = (1-x/D)2.25  where x is the particle diameter and D is the diameter of the tube and fw is the wall factor (the velocity in the tube / velocity in an infinitely large tube), determine the:

 

  1.  a) viscosity (Pa s) of the fluid if Stokes law applies (Correct Answers: 4.118)
  2. b) Reynolds number if the fluid viscosity is given in the previous part (Correct Answers: 0.1967)
  3. c) minimum viscosity where the Re <= 0.3 (Correct Answers: 2.7)

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