- #1
cjm181
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Homework Statement
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For many liquids the viscosity is strongly dependent on temperature. Use the table below to estimate the required maximum temperature of crude oil to flow at a rate of 4Kg s-1 through a 0.3 metre diameter pipe whilst maintaining a laminar flow.
In the table it has in the rows.
temp 0 20 50 100 200
Viscosity 16 7.5 4 2.5 1.5Crude Oil (sg = 0.885)
Viscosity (x10-3 Nsm-2)https://www.physicsforums.com/threads/mechanical-flow-rate.863262/#post-5418137
Homework Equations
A=PIr^2
V=m/(PA)
Viscosity=(Pvd)/Re
The Attempt at a Solution
Area of pipe = PIr^2=PI*0.15^2=0.07069m^2
V=m/(pA)
V=4/(855*0.07069)
V=0.066m/s
So for the pipe of diameter 0.3m, to achieve 4kg/s we need a fluid velocity of 0.066m/s. (sounds really slow?)
Then
Reynolds # = (density)(velocity)(pipe diameter) / (viscosity)
Viscosity=(density)(velocity)(pipe diameter) / (reynolds)
so if the flow is to be laminar, set reynolds no to 1999
Viscosity=(855)(0.066)(0.3) / (1999)
Viscosity=0.00849 or 8.49x10^-3Nsm
so max temp would be around 16deg C. Can anyone confirm?
Kr
Craig