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Entropy Project Update for Richard Skifton

Utilizing Dr. McIlroys flat platedata set for Entropy calculations

Helping at the MIR lab

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Richard at the MIR lab

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Example flat plate model with FST and FPG(from Dr. McIlroys flat plate study, McIlroy and Budwig, 2007)

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n egra mo e ng o a p a e us ng -correlations)

U1=1.518m/sU2=4.28m/s=1.32*10-5m2/s

0.1Cf

CfNoPressureLaminar

vs. x

=1. mTripped @ 144mm

o ressure ur r ppe

0.01Cf

3

0 0.5 1 1.5 2

(meters)

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Momentum Thickness

n egra mo e ng o a p a e us ng -correlations)

6 10 3

withPressure

Laminar

U1=1.518m/sU2=4.28m/s=1.32*10-5m2/s

4 10 3

Tubulent With Pipe Data

rs)

=1. mTripped @ 144mm

2 10 3

(met

0 0.5 1 1.5 20

(meters)

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2

Calculations

Equation 8 in Walsh, McEligot,Brandt, and Schlatter (2011)

eyno s ress pro uc on

Normal Stressproduction

Energy Flux

pply to tripped flat plate BL with pressure gradient, FST, and roughsurfaced patch (McIlroy and Budwig, 2007). Utilizing the trapezoidal

method for the numerical integration.

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Smooth flat late with ressure radient

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35

Exampleofexperimentalmeasurementsat3locations(ydir)

25

30

20

(mm

)

700

10

15

812

916

5

~0

600 650 700 750 800 850 900 950

x(mm)

max

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18.00

20.00

Entropy Generat on a ong p ate

14.00

16.00

10.00

12.00

S{

}+

6.00

8.00

2.00

4.00

0.00

0.0 200.0 400.0 600.0 800.0 1000.0 1200.0 1400.0 1600.0 1800.0 2000.0

Location on Plate (mm)

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Figure 6 from Walsh, McEligot, Brandt, and Schlatter (2011)

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Example of entropy calculations for 4 locationsot ce: magn tu e an s gn c anges

x

(mm) Mean

Re Stress

Production

Normal

Stress

Energy

Flux Total

700 4.54 -0.05 0.04 0.02 4.54

91 12.19 0.10 0.43 0.34 13.07

1020 14.95 -0.01 0.22 0.27 15.42

1400 13.12 0.05 0.09 -0.1 13.0

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patch incorporated into the model

Rouch patch located fromRough patch.

x=700mm

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20.00

Entropy generation Smooth vs. Downstream Roughpatch plate

16.00

18.00

10.00

12.00

.

{}

+

6.00

8.00

S

Rough

2.00

4.00

0.000 200 400 600 800 1000 1200 1400 1600 1800 2000

x (mm)

Rough patch location

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McIlroy and Budwig (2007)

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Exper ment Des gn D scuss onPressure Gradient?

Oil kinematic viscosity: 13.9 cSt, 13.9 x water, 13.9 x 10-6 m2/s

O ens ty: 0.831 g m3

Plate length: up to 2 m

Freestream velocity: up to 1.8 m/s

5x .

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rom amer a an ev n o an plotted by Don M.

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To-dos for Spring 2011:

Spatial resolution

, mm ens, e ows

Design work:-- Flat plate model: 1) ZPG and 2) APG

Uncertaint anal sis on 2D PIV