Engineering
Physics
Viscosity
Question

A block of weight W slides over a thin film of liquid of viscosity η with terminal velocity. The area of contact is A and the characteristic length is taken to be the thickness of the film of liquid. What is the Reynold's number for the flow? The density of the liquid is ρ. Assume a linear velocity profile.

ρmgsinθh2η2A

ρmgsinθhηA

ρmgsinθh2η2A2

ρmgsinθh2ηA

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Solution
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R=ρvdη

mgsinθ=ηAvh

y=mgsinθhηA

R=Pmgsinθh2η2A

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