Resistance force and dynamic viscosity?
hai everyone,please help to get me the solution.
A Fluid density(830 kg/m³) is filled upto height=0.8meter.a sphere stell (7500 kg/m³) with d=5mm sink uniformly at 4.2 second.calculate dynmaic viscosity.
thank you
Answer:
*http://www.lenntech.com/unit-conversion-...
http://scienceworld.wolfram.com/physics/...
http://www.engineeringtoolbox.com/dynami...
Equate the gravitational force on the sphere to the drag force and solve for the viscosity. The drag force for Stokes flow (Reynolds number around 1 or less) for a sphere is:
Drag = 3 π d μ v
where μ is the viscosity.
Double check that Stokes flow is valid for this situation by calculating the Reynolds number after you've calculated the viscosity.
My calculations are that the Reynolds number is 1.5 which is close enough for the Stokes equation to still be accurate. The viscosity is 0.54 N s / m², which would be consistent with a viscous fluid such as glycerine.
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A Fluid density(830 kg/m³) is filled upto height=0.8meter.a sphere stell (7500 kg/m³) with d=5mm sink uniformly at 4.2 second.calculate dynmaic viscosity.
thank you
Answer:
*http://www.lenntech.com/unit-conversion-...
http://scienceworld.wolfram.com/physics/...
http://www.engineeringtoolbox.com/dynami...
Equate the gravitational force on the sphere to the drag force and solve for the viscosity. The drag force for Stokes flow (Reynolds number around 1 or less) for a sphere is:
Drag = 3 π d μ v
where μ is the viscosity.
Double check that Stokes flow is valid for this situation by calculating the Reynolds number after you've calculated the viscosity.
My calculations are that the Reynolds number is 1.5 which is close enough for the Stokes equation to still be accurate. The viscosity is 0.54 N s / m², which would be consistent with a viscous fluid such as glycerine.
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