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For a creeping flow, find the viscosity of liquid. Given: solid sphere, 8.0mm=D, density= 1200 kg/m^3...

For a creeping flow, find the viscosity of liquid. Given: solid sphere, 8.0mm=D, density= 1200 kg/m^3 is released in a liquid with density= 1100 kg/m^3 at a terminal velocity 9.00mm/s

Solutions

Expert Solution

Solution :

For creeping Flow ( Stokes Flow) We have to take equation of Terminal Velocity from literature.

Equation as following:

Where,

Vt = Terminal Velocity

r = Radius of moving Sphere

= Density of Moving Sphere

= Density of liquid

g = gravitational accelaration

= Viscosity of Liquid

Given Data:

  • Vt = 9 mm/sec = 0.009 m/sec
  • r = 4 mm = 0.004 m
  • = 1200 kg/m3
  • = 1100 kg/m3
  • g = 9.8 m/sec2

Put All above Values in Equation & Find .

= 0.3871 kg/m.sec

Answer:

Viscosity of Liquid = = 0.3871 kg/m.sec


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