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Friction Loss

THERMAL AND FLUID

EXPERIMENT

FRICTION LOSS ALONG A PIPE AND MINOR LOSSES ACROSS VALVES, BENDS, AND SUDDEN CHANGES IN AREA

by

Table of Contents

List of Symbols….…..…………………………………………………………….…………… 3

Abstract.…....………………..………….………………………………………………….……. 4

Results Summary.....…………..…………………………………………………………..............5

Discussion and Conclusions ………………………………………………….............................12

Appendices .…………………………………………................................................................. 13

List of Symbols

Symbol Description Units

A area m2

D diameter m

g gravity m/s2

h convection heat transfer coefficient W/m2* K

L length m

m mass kg

ṁ mass continuity lbm/s

P pressure Pa

Pabs absolute pressure N/m2

Pgage gage pressure N/m2

Q volume flow rate m2/s

Re Reynolds number

t time s

T temperature K

strain in/in

V fluid velocity m/s

fluid density kg/m3

Abstract

The objective from this week’s lab experiment was to analyze the resistance of water through pipes. There are some factors that could have an impact on the results such as the bends in the pipes and the sudden changes of are in them. Also the friction of the pipes and the losses across the valves may have a difference too.

As a results to our calculations we found out that the fluid loses energy as it flows through the pipes, the reason after that is the drop in pressure. The density of the fluid, viscosity of water, shapes of pipes, changes in area and the dimensions of the pipe all have an influence on the pressure drop. We calculated the head loss in expansion and compression from the data obtained from our experiment. We also used the data to calculate Reynolds number, and Blasius friction factor.

Comparing our results to the standard results we found out that we did not have a high uncertainty error. The flow rate uncertainty came out to be 1.9%; also the head loss uncertainty was 2.8%. Also, Reynolds number and Blasius friction factor uncertainty came out to be 3.3% and 1.9% respectively.

Results Summary

1. Straight pipe– Dark Blue circuit, component A (length = 914.4 mm)

a) After calculating the head loss by using the formula

The following data was obtained:

Head loss (m)(

volume flow rate(m^3/s) (Q)

log(Q)

-1

31.96803

7.504716

2

53.26633

7.726453

0

71.64179

7.855166

0

89.89899

7.953755

0

108.0278

8.033535

0

124.7485

8.096035

1

145.4006

8.162566

1

160.7143

8.206054

4

177.1144

8.248254

5

190

8.278754

After plotting this data with Q on the x-axis, the following plot was obtained:

Figure1

From the above graph, using the relation , the power of n is 3 .

b)From the data, after calculating the friction factor using

Where hl is the head loss, D is the diameter, L is the length of the pipe and g is gravity

The following results were produced:

Reynolds number

friction factor

Blasius Correlation

3409.714

-0.003627966

0.010273

5681.394

0.020144987

0.009042

7641.323

0

0.008396

9588.638

0

0.007933

11522.25

0

0.007577

13305.69

0

0.007309

15508.45

0.075052259

0.007034

17141.81

0.091693885

0.00686

18891.05

0.445450326

0.006696

20265.42

0.640779509

0.006579

After plotting Friction factor as a function of Reynolds number and Blasius Equation as a function of Reynolds number on the same graph the following was produced:

Figure2

2. Sudden Expansion-(Light Blue circuit, pipe expander E – D-13.6 mm X D-26.4 mm)

a) From the flow data, after calculating measured head loss using

Δhtest=h8-h7

And calculated head rise, first with no head loss and then with head loss

The following results were produced:

test

calculated head rise without head loss

calculated head rise with head loss

0

0.123714

-0.03249

0.01

0.343473

-0.0902

0.01

0.621326

-0.16318

-0.01

0.978355

-0.25694

0.03

1.412724

-0.37102

0.05

1.883897

-0.49476

0.05

2.559287

-0.67214

0.09

3.126768

-0.82117

0.15

3.797472

-0.99732

0.19

4.370125

-1.14771

The loss coefficient Kl was 0.5.

The following is the graph with these results:

Figure3

3. SUDDEN CONTRACTION – (Light Blue circuit, pipe reducer F – 26.4 mm X 13.7 mm)

From the flow data, after calculating measured decrease in head using

Δh=h9-h10 and calculated head decrease, the following results were obtained:

calculated decrease in head withput head loss (cm)

calculated decrease in head with head loss (cm)

test (cm)

0.289603

0.407069

5

0.804038

1.130164

13

1.454468

2.044414

19

2.290239

3.219182

24

3.307058

4.648433

39

4.410033

6.198784

53

5.991059

8.421089

69

7.319479

10.28833

87

8.889536

12.49522

108

10.23007

14.37948

116

The loss coefficient Kl was 0.376. The graph with these plotted:

Figure4

1. BENDS

Figure5

Figure6

2. VALVES

Figure 7

Discussion and Conclusion

In this experiment we had to study or observe the friction loss of water in the pipes due to the pipes’ shapes, valves, bends..etc. From the calculated friction loss we could calculate the head loss of the water, which is the primary reason to this experiment.

After calculating the Sudden Expansion through the pipes we figured out that the head rise with head loss was lower than the rise without the head loss. When it comes to Sudden Contraction of the pipe, we found out that the head decrease with the head loss was higher than the head decrease without the head loss. We saw a major drop in pressure, which could be because of the change of the cross sectional area of the pipe that changes suddenly.

Gravity has a role on the pressure of the water in the pipes, from our calculations we saw that the bends in the pipes caused a drop in the pressure, again. Which could be because of gravity.

Comparing our results to the standard results we found out that we did not have a high uncertainty error. The flow rate uncertainty came out to be 1.9%; also the head loss uncertainty was 2.8%. Also, Reynolds number and Blasius friction factor uncertainty came out to be 3.3% and 1.9% respectively. Moreover, the uncertainty in the velocity was 5.2%. So, as a result we can see clearly that the numbers that we came up with were reasonable despite the uncertainty factors such as timing, water flow speed or even simple human errors.

To some up, we can say that our calculations were similar to that of the theoretical values which gives us a reasonable explanation to why we got these values. Now we have a better understanding to how friction loss of the water flowing through the pipes have a huge factor on the calculation s and eventually the final results. The experience that we got from this lab experiment will defiantly help us in the future.

APPENDICES

EXPERIMENTAL DATA

THEORY

PROCEDURE

CALCULATIONS

ERROR ANALYSIS

REFERENCE

APPENDIX A

EXPERIMENTAL DATA

APPENDIX B

THEORY

In this experiment we are to analyze the friction loss along a pipe and losses across valves. In addition, we are to analyze sudden changes in area and using the flow rate of water along with the dimensions of the pipes, the head loss and head without loss along points of the pipes and using Bernoulli equation

[1]

where:

· P1, P2: pressure at points 1 and 2, respectively (N/m2)

· v1,v2: average flow velocity at points 1 and 2, respectively (m/s)

· : density of the fluid in the pipe (kg/m3)

· g: gravitational acceleration = 9.81 m/s2

· h1, h2: flow head (height) at points 1 and 2, respectively (m)

· Ef: energy requirement (loss) due to friction (J/kg)

· Wp: energy supplied by pump (J/kg)

· Reducing [1] to become:

[2]

Where hloss is the head loss due to pipe friction and fittings.

Solving for h loss we get

[3]

Replacing p1 and p2 we get

[4]

Bernoulli’s Equation without head loss, hL=0

[5]

Bernoulli’s Equation with head loss, where

[6]

Solving for delta h we get:

[7]

Straight Pipes, the head loss along a length of the pipe with constant diameter,

[8]

Where f is a function of the Reynolds number of the flow and the roughness of the internal surface of the pipe which is a dimensionless constant

The head loss due to bend is given by the expression,

[9]

In conclusion the total head loss results to,

[10]

The head loss due to a valve is given by the expression:

[11]

APPENDIX C

PROCEDURE

The steps to the experiment we did are as follow:

1. At first we had to change the water flow in order to get the right amount of pressure in the pipes.

2. Next we measured the temperature of the water in the tube.

3. Flow rates were measured using volumetric tank in conjunction with flow control valve.

4. Next we measured the flow rate by filling up the cylinder and measuring it.

5. Nest we adjusted the pressure valve in order to increase the flow percentage rate.

6. We had to time each pressure rate at 60 seconds, and if the water overflows we had to decrease time and multiply t later to reach 60 seconds.

7. Next we recorder each tube with its respective height.

8. We repeated the above steps multiple times in order to obtain the necessary data to make our calculations and graphs.

APPENDIX D

CALCULATIONS

Water Density ,

Gravity,

Straight Pipe: Sample calculations at 10%

Area of flow (A) =

m2

Friction factor

f =

= = 4.78x10^-3

Reynold number for water at 22 ̊ C

Re = =

Mean velocity (V) = =

Sudden Expansion Sample calculations at 10%

Test data

= 443 – 443 = 0

= =

Bernoulli equation with head loss:

= = 0.00023

Sudden Contraction Sample calculations at 10% Flow

Test data

= 418 – 405 = 13

Bernoulli equation without head loss:

=

Bernoulli equation with head loss:

= =

Bends Sample calculations at 10% Flow

Total loss between taps from Eq. [11]

= 0.011

=

= 4.4

APPENDIX E

ERROR ANALYSIS

Head measurement:

Absolute error Δh= 1mm

Uncertainty Eh=

Flow Rate Uncertainty:

Absolute error ΔQ = 10%

Uncertainty EQ= = 1.9%

Head loss: hL= h2 – h1

Absolute error Δ hL = (Δ h2 + Δ h2)0.5 = 3.6 mm

Uncertainty E hL = 2.8%

Velocity: v(Q) =

Uncertainty Ev = = EQ

Ev = 5.2%

Reynolds Number: Re(v) = v

Uncertainty ERe = Ev

ERe = 3.3%

Blasius Friction Factor: f (Re) = 0.0785* Re-.25

Uncertainty EfB = = = 0.25*ERe

EfB = 1.9%

fDeu Friction Factor: fDeu =

Uncertainty EfDeu = =

At lowest velocity and loss

EfDeu = 28.013%

APPENDIX F

REFERENCES

[1] lab manual

[2] www.eng.fsu.com

0.0 0.0100000000000007 0.00999999999999979 -0.00999999999999979 0.0300000000000002 0.0499999999999998 0.0499999999999998 0.0899999999999999 0.15 0.19 0.0 0.0 0.0100000000000007 0.00999999999999979 -0.00999999999999979 0.0300000000000002 0.0499999999999998 0.0499999999999998 0.08999999 99999999 0.15 0.19 0.0 0.123713888679518 0.343472708075239 0.621325997737186 0.978354575976617 1.412723989373208 1.883897449145733 2.559287142566621 3.126767731906195 3.797471626602043 4.370124990395155 0.0 0.0100000000000007 0.00999999999999979 -0.00999999999999979 0.0300000000000002 0.0499999999999998 0.0499999999999998 0.0899999999999999 0.15 0.19 -0.0324905162188633 -0.0902049536359212 -0.163176524658251 -0.256941605812041 -0.37101842145155 -0.494760946240293 -0.672136017239719 -0.82117132353092 -0.997315780723768 -1.147709593437112 0.0 0.0100000000000007 0.00999999999999979 -0.00999999999999979 0.0300000000000002 0.0499999999999998 0.0499999999999998 0.0899999999999999 0.15 0.19

Calculated head rise

measured head rise

5.0 13.0 19.0 24.0 39.0 53.0 69.0 87.0 108.0 116.0 5.0 13.0 19.0 24.0 39.0 53.0 69.0 87.0 108.0 116.0 0.289602966681599 0.804038384812491 1.454467676521139 2.290239121036171 3.307058429669099 4.410032665045692 5.991058538280953 7.31947900878041 8.889535853182058 10.23006531842502 5.0 13.0 19.0 24.0 39.0 53.0 69.0 87.0 108.0 116.0 0.407068679165181 1.130163986419283 2.044413573362507 3.219181849741242 4.648432722609318 6.198783778375982 8.421088754455318 10.28832917846912 12.49521598349106 14.37947692546689 5.0 13.0 19.0 24.0 39.0 53.0 69.0 87.0 108.0 116.0

Calculated decrease in head

Measured decrease in head (cm)

Head Loss vs Volume Flow rate

7.504715900840586 7.726452788855063 7.855166434674761 7.953754812047362 8.033535331703713 8.096035300764922 8.162566179157174 8.206054482433121 8.248253940552381 8.278753600952824 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 4.0 5.0

Volume Flow Rate

Head Loss

3409.714352371517 5681.3937040316 7641.32253744154 9588.637687450315 11522.25357014692 13305.68989794272 15508.44577795535 17141.80613868024 18891.04738423048 20265.42414617309 -0.00362796601911263 0.0201449865765292 0.0 0.0 0.0 0.0 0.0750522587681037 0.0916938849962091 0.445450326294286 0.640779508818941 3409.714352371517 5681.3937040316 7641.32253744154 9588.637687450315 11522.25357014692 13305.68989794272 15508.44577795535 17141.80613868024 18891.04738423048 20265.42414617309 0.0102728313266377 0.0090418216293639 0.00839609847966629 0.00793287168400738 0.00757679085842116 0.00730903947338545 0.00703440854576924 0.00686049594439028 0.00669584894154173 0.00657931579613863

Reynolds Number

Friction factor

16

gh

P

E

W

gh

P

2

2

2

2

P

1

2

1

1

2

v

2

v

+

+

r

=

-

+

+

+

r

f