L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Turbulent Flat-Plate Flow *P7.34 Sarah Jeffords Travis King Scott Laura Eric Post

LOUISIANA TECH UNIVERSITYBIOMEDICAL ENGINEERING

Turbulent Flat-Plate Flow*P7.34

Sarah JeffordsTravis KingScott Laura

Eric Post


PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS

A thin equilateral-triangle plate is immersed parallel to a 12 m/s stream of water at 20°C.

Estimate the drag of the plate.

2 m

2 m

2 m


• Retr = 5 x 105

• Laminar, tubulent flat-plate flow

• Laminar leading edge

• 2-dimensional flow

• Constant temperature

• Constant viscosity

• Constant density



• 30°-60°-90° triangle

1 m2 m

60°

30°√3 m



• According to Table A.1 at 20°C

• Calculate Reynolds Number

→ Turbulent



• Reynolds Transition Number

• Laminar Leading Edge

• Coefficient of Drag



• Drag

→



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• Plaque build-up and break-off in arteries• Balloon catheter and stint for angioplasty

– Sickle-cell disease• Red blood cell grouping and blockage

– Central line• Wire with triangular barbed end for insertion• Drag caused by barbed wire



• Sensors– Determine flow rate of fluid over sensor– Sensitivity to turbulence, velocity, and

viscosity

• Birth Control– Flow restriction of “sponge” from vaginal

orifice to cervix

• Kidney stones– Crystals obstruct flow of nephrons to urethra



Questions?


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L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Turbulent Flat-Plate Flow *P7.34 Sarah Jeffords Travis King Scott Laura Eric Post