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Fully developed Laminar flowModule 26Reading in Fox & McDonald, pgs. 330 - 347
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Laminar flow?
Laminar vs. Turbulent flow
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Laminar flow?
The entrance region (Fig. 8.1 in F&M)
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Fully developed laminar flow between two platesVelocity profile
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Fully developed laminar flow between two platesVelocity profile
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Fully developed laminar flow between two plates
Velocity profile
0 0.01 0.02
-0.002
1.73472347597681E-18
0.002
0.004
0.006
0.008
0.01
Velocity (m/s)
He
igh
t (m
)
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Shear stress for fluid flowing between two plates
Fully developed laminar flow between two plates
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Shear stress for fluid flowing between two plates
Fully developed laminar flow between two plates
-0.002
0.002
0.006
0.01
Shear Stress (Pa)
He
igh
t (m
)
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Volume flow rate
Fully developed laminar flow between two plates
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Flow rate as a function of pressure drop
Fully developed laminar flow between two plates
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Average velocity
Fully developed laminar flow between two plates
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Point of maximum velocity
Fully developed laminar flow between two plates
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Velocity profile
Fully developed laminar flow in a pipe
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Velocity profile
Fully developed laminar flow in a pipe
0 0.005 0.01
-0.002
1.73472347597681E-18
0.002
0.004
0.006
0.008
0.01
Velocity (m/s)
He
igh
t (m
)
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Shear stress
Fully developed laminar flow in a pipe
-0.003 -0.002 -0.001 0
-0.002
1.73472347597681E-18
0.002
0.004
0.006
0.008
0.01
Shear Stress (Pa)
He
igh
t (m
)
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Volume flow rate
Fully developed laminar flow in a pipe
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Flow rate as a function of pressure drop
Fully developed laminar flow in a pipe
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Average velocity
Fully developed laminar flow in a pipe
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Point of maximum velocity
Fully developed laminar flow in a pipe
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A viscous liquid (r = 2.0 slugs/ft3 and m = 0.039 lb s/ft2) flows through a horizontal tube having a diameter D. The pressure drop over a 3-ft length of tube is 0.80 psi when the flowrate is 0.038 ft3/s. Determine the tube diameter.
Fully developed laminar flow in a pipeExample
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Fully developed laminar flow in a pipeExample