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Fully developed Laminar flow Module 26 Reading in Fox & McDonald, pgs. 330 - 347 1

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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