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RESULTADOS

TABLA DE DATOS TEÓRICOS

Tabla 1

Condiciones de Laboratorio

Tabla 2

Propiedades físicas del fluido y delsólido

TABLA DE DATOS

EXPERIMENTALES

TABLA 3

Datos experimentales en columna sinlecho

T(°C) P(mm

Hg)21 756

Densidad del agua a 22ºC(Kg/m3)

997.77

Viscosidad del agua a 22ºC(Kg/ms)

0.000958

Peso espec!co del CCl"(Kg#/m3)

1595

Peso espec!co del H2$ (Kg#/m3) 997.8

%&a'edad (Kgmm/Kg#s2) 9.81

Dime*&o de pa&*cula (m) 6.2*10^-4

Densidad del s+lido Kg/m3) 2198.424

,P (mmCCl")

V (ml) T (seg) - (m/s)

35 5.31 6.591

36 5.77 6.239

37 5.88 6.293

37 5.99 6.177

2 92 5.46 16.850

93 5.64 16.489

85 5.09 16.699

96 5.74 16.725

92 5.45 16.881

83 5.01 16.567

88 5.31 16.573

86 5.24 16.412

3 124 5.48 22.628

124 5.46 22.711

118 5.31 22.222

110 4.91 22.403

120 5.39 22.263

" 155 5.59 27.728

140 4.91 28.513

146 5.09 28.684

140 4.93 28.398

140 4.91 28.513

150 5.31 28.249

160 5.63 28.419

154 5.41 28.466

180 5.18 34.749

184 5.32 34.586

168 4.90 34.286

186 5.44 34.191

0 200 5.21 38.388

204 5.32 38.346

210 5.47 38.391

198 5.19 38.150

192 5.03 38.171

198 5.19 38.150

200 5.22 38.314

1 256 6.00 42.667

210 4.91 42.770218 5.11 42.661

210 4.93 42.596

206 4.83 42.650

222 5.19 42.775

9 226 4.94 45.749

212 4.65 45.591

222 4.88 45.492

204 4.32 47.222

244 4.76 51.261

250 4.90 51.020244 4.74 51.477

300 5.16 58.140

280 4.81 58.212

310 5.28 58.712

305 5.34 57.116

310 5.43 57.090

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TABLA 4.

Datos experimentales en columna con lecho

TABLA 4.1

Datos experimentales en columna con lecho en ascenso

H a&ena

(cm)

,P (cm

CCl")

V (ml) T (seg)

2" 0 0 0

2" 2.5 15 40.52

2" 4.2 14 27.29

2" 6.5 46 28.75

2" 7.8 48.5 21

2" 9.3 72 23.81

2" 11 77 27.52

2" 14 108 29.23

2" 15.6 96 27.52

2" 16.4 92 19.892" 18.1 98 19.75

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2" 19.1 97 17.24

2" 20.9 75 15.72

2" 22.3 97 14.57

2" 23.8 110 15.77

2" 25.5 103 13.76

2" 26.5 77 11.03

2" 28.1 97 10.56

2" 29.4 86 10.03

2" 30.7 95 10.3

2" 33.1 100 10.39

2" 34.5 97 9.17

2".2 33.4 122 10.95

2". 33.4 136 11.32

2".1 33.5 138 11.24

2 33.5 152 11.75

2.2 33.3 159 11.9

2." 33.3 193 14.4

2.0 33.3 160 11.2

2.1 33.1 164 10.91

20 33.1 172 11.48

20.2 33.1 171 10.92

20.3 33 190 12.03

20.7 33 194 11.26

20.1 32.9 179 10.26

27 32.8 196 11

27. 32.75 199 10.71

27.2 32.8 190 10.21

27." 32.8 231 11.82

27. 32.8 203 10.26

27.7 32.8 230 11.38

27.1 32.7 219 9.38

21 32.7 212 9.56

21. 32.8 234 10.42

21.2 32.8 245 10.69

21. 32.8 168 7.1421.7 32.8 180 7.25

21.9 32.95 222 8.73

29 33 160 6.18

29.2 32.9 200 7.51

29." 33 217 8

29.0 33 155 5.66

29.7 33 207 7.31

29.1 33.2 228 7.76

3. 33.2 230 7.71

3.2 33.2 148 4.793." 33.3 170 5.38

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3.0 33.5 190 6.11

3.9 33.6 208 6.3

3. 33.7 208 6.35

3.7 33.9 158 4.46

32.2 34.1 200 5.54

32.3 34.3 246 6.61

32. 34.3 210 5.45

32.1 34.4 206 5.28

33.1 35.1 228 5.69

3".2 35.1 224 5.49

3".9 35.3 244 5.91

3." 35.3 204 4.66

30 35 240 5.45

30.0 35.6 185 4.16

37. 35.6 234 5.2

37.0 35.9 206 4.4

31.2 36 203 4.27

39.3 36.2 249 5.11

39.9 36.3 226 4.37

". 36.4 154 3.08

".2 36.4 229 4.3

".1 36.5 244 4.58

"2." 36.6 250 4.47

"3.2 36.7 178 3.15

"". 36.7 222 3.72

""." 36.8 198 3.28

".7 38.9 154 2.55

TABLA 4.1

Datos experimentales en columna con lecho en reersa

H a&ena(cm)

,P (cmCCl")

V (ml) T (seg)

".2 37.0 180 2.93

"". 37.0 239 4.03

"".2 37.0 213 3.7

"3.0 37.0 238 4.27

"3. 37.0 235 4.29

"2.1 37.0 198 3.56

"2. 37.0 189 3.54

". 36.9 219 4.09

".0 36.7 212 4.1

".2 36.7 194 3.81

39.1 36.7 200 3.85

39. 36.7 216 4.44

31. 36.5 166 3.34

31 36.5 198 4.26

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37. 36.5 204 4.59

30.0 36.3 172 3.8

3.9 36.3 190 4.43

3. 36.1 173 4.05

3".1 36.0 176 4.34

32.3 35.9 186 4.69

33." 35.8 248 6.56

32.9 35.6 194 5.34

32. 35.1 177 5.08

3.7 35.0 190 5.43

3." 34.9 194 5.96

3.9 34.7 192 6.05

3." 34.6 174 5.66

29.9 34.5 197 6.78

29. 34.3 207 7.38

29. 34.2 198 7.3

21.0 34.2 198 8.1

21.2 34.1 202 8.24

27.7 34.1 153 7.32

27 34.0 146 7.55

20. 33.7 137 7.95

2.3 33.4 142 9.24

2".9 32.6 108 7.93

2".7 31.2 109 9.05

2".0 25.8 102 9.3

2"." 28.0 73 7.31

2".3 24.7 74 8.04

2".2 21.4 66 8.36

2" 19.3 60 8.9

2" 17.8 54 8.9

2" 16.2 42 7.65

2" 14.4 45 8.9

2" 13.0 35 7.92

2" 11.6 32 8.33

2" 10.2 33 9.182" 8.9 32 10.26

2" 7.5 31 11.12

2" 6.4 31 13.58

2" 5.4 26 13.82

2" 3.6 23 16.7

2" 2.6 16 17.13

2" 1.5 14 19.54

2" 1.0 12 26.37

2" 0.6 13 49.77

2" 0.4 10 94.222" 0.0 0 0

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TABLA 5

Datos de la columna

Dime*&o

Dime*&o e*e&no(mm)

57

4speso& (mm) 2.2

Dime*&o in*e&no(mm)

52.6

TABLA 6Datos de la arena

TABLA 6.1

Datos para calcular la densidad aparente

P&ue5a P&ue5a

2

6 p&o5e*a (g) 90.4 112

6 p&o5e*a a&ena (g)

157.2 239.4

Volumen a&ena(ml)

50 100

6 a&ena 66.8 127.4TABLA 6.2

Datos para calcular la densidad absoluta

P&ue5a

P&ue5a2

6 p&o5e*a (g) 90.4 91.8

6 p&o5e*a agua(g)

120.4 119.3

Volumen agua (ml) 31 27.5

6 p&o5e*a agua a&ena (g)

159 233.4

Volumen agua

a&ena (ml)46 85

6 agua a&ena(g)

68.6 141.6

TABLA 6.3

!n"lisis #ranulom$trico de la arena

8allaPeso(g)

1 2

0

2 3 408.33 " 271.7

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" 0

TABLA DE RESULTADOS

TABLA 7

C"lculo del di"metro de partículas

8allaPeso(g&)

Diam.P&om.(mm)

&accion:e*enida

(;i)

;i /Dpm

(mm)

12 0 0 0 0

23 408.3 0.725 0.600 0.828

3" 217.7 0.513 0.400 0.78

" 0 0 0 0

< 680 1.000 1.608Dp (m) 6.20E-04

TABLA 8

C"lculo del Caudal% flu&o m"sico% numero de 'eynold y la caída de presión experimental en ascenso

H(arena ) cm

∆P (cm CCl4) V(ml)

T(seg)

Q(ml/s)

G(kg/s)

Gs(Kg/s.m

2)

:e =Pepe&im

e*al(>g#/m2

)

Total Lecho

24 0 0.0 0.0 0 0 0 0 0 0

24 2.5 2.5 15.0 40.52 0.37 0.0004 0.18 0.12 14.93

24 4.2 4.2 14.0 27.29 0.51 0.0005 0.23 0.15 25.08

24 6.5 6.5 46.0 28.75 1.6 0.0016 0.74 0.48 38.82

24 7.8 7.8 48.5 21 2.31 0.0023 1.06 0.69 46.58

24 9.3 9.3 72.0 23.81 3.02 0.003 1.38 0.89 55.54

24 11 11.0 77.0 27.52 2.8 0.0028 1.29 0.83 65.69

24 14 14.0 108.

0

29.23 3.69 0.0037 1.71 1.11 83.61

24 15.6 15.6 96.0 27.52 3.49 0.0035 1.61 1.04 93.16

24 16.4 16.4 92.0 19.89 4.63 0.0046 2.12 1.37 97.94

24 18.1 18.0 98.0 19.75 4.96 0.0049 2.26 1.46 107.5

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24 19.1 19.0 97.0 17.24 5.63 0.0056 2.58 1.67 113.47

24 20.9 20.8 75.0 15.72 4.77 0.0048 2.21 1.43 124.22

24 22.3 22.2 97.0 14.57 6.66 0.0066 3.04 1.97 132.58

24 23.8 23.7 110.

0

15.77 6.98 0.007 3.23 2.09 141.54

24 25.5 25.4 103.0

13.76 7.49 0.0075 3.46 2.24 151.69

24 26.5 26.4 77.0 11.03 6.98 0.007 3.23 2.09 157.66

24 28.1 28.0 97.0 10.56 9.19 0.0092 4.24 2.74 167.22

24 29.4 29.3 86.0 10.03 8.57 0.0086 3.96 2.56 174.98

24 30.7 30.6 95.0 10.3 9.22 0.0092 4.24 2.74 182.74

24 33.1 33.0 100.

0

10.39 9.62 0.0096 4.42 2.86 197.08

24 34.5 34.4 97.0 9.17 10.58 0.0106 4.88 3.16 205.44

24.2 33.4 33.3 122.

0

10.95 11.14 0.0111 5.12 3.31 198.87

24.5 33.4 33.2 136.0

11.32 12.01 0.012 5.53 3.58 198.27

24.8 33.5 33.3 138.

0

11.24 12.28 0.0123 5.67 3.67 198.87

25 33.5 33.3 152.

0

11.75 12.94 0.0129 5.94 3.84 198.87

25.2 33.3 33.1 159.

0

11.9 13.36 0.0133 6.13 3.97 197.67

25.4 33.3 33.1 193.

0

14.4 13.4 0.0134 6.18 4 197.67

25.6 33.3 33.1 160.

0

11.2 14.29 0.0143 6.59 4.26 197.67

25.8 33.1 32.9 164.

0

10.91 15.03 0.015 6.91 4.47 196.48

26 33.1 32.9 172.

0

11.48 14.98 0.0149 6.87 4.45 196.48

26.2 33.1 32.9 171.

0

10.92 15.66 0.0156 7.19 4.65 196.48

26.3 33 32.8 190.

0

12.03 15.79 0.0158 7.28 4.71 195.88

26.7 33 32.8 194.

0

11.26 17.23 0.0172 7.93 5.13 195.88

26.8 32.9 32.7 179.

0

10.26 17.45 0.0174 8.02 5.19 195.28

27 32.8 32.5 196.

0

11 17.82 0.0178 8.2 5.31 194.09

27.1 32.75 32.5 199.

0

10.71 18.58 0.0185 8.53 5.52 194.09

27.2 32.8 32.5 190.

0

10.21 18.61 0.0186 8.57 5.55 194.09

27.4 32.8 32.5 231.

0

11.82 19.54 0.0195 8.99 5.82 194.09

27.5 32.8 32.5 203.

0

10.26 19.79 0.0197 9.08 5.88 194.09

27.7 32.8 32.5 230.

0

11.38 20.21 0.0202 9.31 6.03 194.09

27.8 32.7 32.3 219.

0

9.38 23.35 0.0233 10.74 6.95 192.9

28 32.7 32.4 212.

0

9.56 22.18 0.0221 10.18 6.59 193.49

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28.1 32.8 32.5 234.

0

10.42 22.46 0.0224 10.32 6.68 194.09

28.2 32.8 32.5 245.

0

10.69 22.92 0.0229 10.55 6.83 194.09

28.5 32.8 32.4 168.

0

7.14 23.53 0.0235 10.83 7.01 193.49

28.7 32.8 32.4 180.

0

7.25 24.83 0.0248 11.43 7.4 193.49

28.9 32.95 32.6 222.

0

8.73 25.43 0.0254 11.71 7.58 194.69

29 33 32.6 160.

0

6.18 25.89 0.0258 11.89 7.69 194.69

29.2 32.9 32.5 200.

0

7.51 26.63 0.0266 12.26 7.93 194.09

29.4 33 32.6 217.

0

8 27.13 0.0271 12.49 8.08 194.69

29.6 33 32.6 155.

0

5.66 27.39 0.0273 12.58 8.14 194.69

29.7 33 32.6 207.0

7.31 28.32 0.0283 13.04 8.44 194.69

29.8 33.2 32.7 228.

0

7.76 29.38 0.0293 13.5 8.74 195.28

30.1 33.2 32.7 230.

0

7.71 29.83 0.0298 13.73 8.89 195.28

30.2 33.2 32.7 148.

0

4.79 30.9 0.0308 14.19 9.18 195.28

30.4 33.3 32.8 170.

0

5.38 31.6 0.0315 14.52 9.4 195.88

30.6 33.5 33.0 190.

0

6.11 31.1 0.031 14.29 9.25 197.08

30.9 33.6 33.1 208.

0

6.3 33.02 0.0329 15.16 9.81 197.67

31.1 33.7 33.2 208.

0

6.35 32.76 0.0327 15.07 9.75 198.27

31.7 33.9 33.3 158.

0

4.46 35.43 0.0354 16.31 10.5

6

198.87

32.2 34.1 33.5 200.

0

5.54 36.1 0.036 16.59 10.7

4

200.06

32.3 34.3 33.7 246.

0

6.61 37.22 0.0371 17.1 11.0

7

201.26

32.5 34.3 33.7 210.

0

5.45 38.53 0.0384 17.7 11.4

6

201.26

32.8 34.4 33.7 206.

0

5.28 39.02 0.0389 17.93 11.6 201.26

33.8 35.1 34.4 228.

0

5.69 40.07 0.04 18.43 11.9

3

205.44

34.2 35.1 34.4 224.

0

5.49 40.8 0.0407 18.76 12.1

4

205.44

34.9 35.3 34.6 244.

0

5.91 41.29 0.0412 18.99 12.2

9

206.63

35.4 35.3 34.6 204.

0

4.66 43.78 0.0437 20.14 13.0

3

206.63

36 35 34.2 240.

0

5.45 44.04 0.0439 20.23 13.0

9

204.24

36.6 35.6 34.8 185.

0

4.16 44.47 0.0444 20.46 13.2

4

207.83

37.1 35.6 34.8 234.

0

5.2 45 0.0449 20.69 13.3

9

207.83

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37.6 35.9 35.1 206.

0

4.4 46.82 0.0467 21.52 13.9

3

209.62

38.2 36 35.2 203.

0

4.27 47.54 0.0474 21.84 14.1

3

210.21

39.3 36.2 35.3 249.

0

5.11 48.73 0.0486 22.4 14.5 210.81

39.9 36.3 35.4 226.

0

4.37 51.72 0.0516 23.78 15.3

9

211.41

40.5 36.4 35.5 154.

0

3.08 50 0.0499 23 14.8

9

212.01

41.2 36.4 35.5 229.

0

4.3 53.26 0.0531 24.47 15.8

4

212.01

41.8 36.5 35.6 244.

0

4.58 53.28 0.0532 24.52 15.8

7

212.6

42.4 36.6 35.6 250.

0

4.47 55.93 0.0558 25.71 16.6

4

212.6

43.2 36.7 35.7 178.

0

3.15 56.51 0.0564 25.99 16.8

2

213.2

44.1 36.7 35.6 222.0

3.72 59.68 0.0595 27.42 17.75

212.6

44.4 36.8 35.7 198.

0

3.28 60.37 0.0602 27.74 17.9

5

213.2

45.7 38.9 37.8 154.

0

2.55 60.39 0.0603 27.79 17.9

9

225.74

TABLA 9

C"lculo del Caudal% flu&o m"sico% numero de 'eynold y la caída de presión experimental en reersa

Harena (cm)

,P (cmCCl")

V(ml)

T(seg)

-(ml/s)

%(>g/s)

%s(Kg/s.m2)

:e =Pepe&im

e*al(>g#/m2)To*al ?ec@o

45.2 37.00 35.87 180 2.93 61.43 0.0613 28.25 18.34

214.23

44.5 37.00 35.92 239 4.03 59.31 0.0592 27.28 17.711

214.53

44.2 37.00 35.96 213 3.7 57.57 0.0574 26.45 17.172

214.76

43.6 37.00 36.00 238 4.27 55.74 0.0556 25.62 16.633

215

43.1 37.00 36.02 235 4.29 54.78 0.0547 25.21 16.367

215.12

42.8 37.00 36.00 198 3.56 55.62 0.0555 25.58 16.607

215

42.1 37.00 36.05 189 3.54 53.39 0.0533 24.56 15.945

215.3

41.1 36.85 35.90 219 4.09 53.55 0.0534 24.61 15.977

214.41

40.6 36.70 35.79 212 4.1 51.71 0.0516 23.78 15.438

213.75

40.2 36.70 35.80 194 3.81 50.92 0.0508 23.41 15.198

213.81

39.8 36.70 35.78 200 3.85 51.95 0.0518 23.87 15.4

97

213.69

39.1 36.65 35.80 216 4.44 48.65 0.0485 22.35 14.5 213.81

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1

38.5 36.50 35.63 166 3.34 49.7 0.0496 22.86 14.841

212.79

38 36.50 35.70 198 4.26 46.48 0.0464 21.38 13.88

213.21

37.5 36.50 35.74 204 4.59 44.44 0.0443 20.41 13.25

213.45

36.6 36.30 35.52 172 3.8 45.26 0.0452 20.83 13.523

212.14

35.9 36.30 35.57 190 4.43 42.89 0.0428 19.72 12.803

212.43

35.5 36.10 35.37 173 4.05 42.72 0.0426 19.63 12.744

211.24

34.8 36.00 35.32 176 4.34 40.55 0.0405 18.66 12.114

210.94

32.3 35.90 35.24 186 4.69 39.66 0.0396 18.25 11.8

48

210.46

33.4 35.80 35.17 248 6.56 37.8 0.0377 17.37 11.277

210.05

32.9 35.60 35.00 194 5.34 36.33 0.0362 16.68 10.829

209.03

32.1 35.10 34.53 177 5.08 34.84 0.0348 16.04 10.413

206.22

31.7 35.00 34.43 190 5.43 34.99 0.0349 16.08 10.439

205.63

31.4 34.90 34.38 194 5.96 32.55 0.0325 14.98 9.725

205.33

30.9 34.70 34.19 192 6.05 31.74 0.0317 14.61 9.485

204.19

30.4 34.60 34.11 174 5.66 30.74 0.0307 14.15 9.186

203.72

29.9 34.50 34.04 197 6.78 29.06 0.029 13.36 8.674

203.3

29.5 34.30 33.86 207 7.38 28.05 0.028 12.9 8.375

202.22

29.1 34.20 33.78 198 7.3 27.12 0.0271 12.49 8.109

201.74

28.6 34.20 33.83 198 8.1 24.44 0.0244 11.24 7.297

202.04

28.2 34.10 33.73 202 8.24 24.51 0.0245 11.29 7.33 201.4527.7 34.10 33.79 153 7.32 20.9 0.0209 9.63 6.25

2201.8

27 34.00 33.72 146 7.55 19.34 0.0193 8.89 5.772

201.39

26.1 33.70 33.46 137 7.95 17.23 0.0172 7.93 5.148

199.83

25.3 33.40 33.19 142 9.24 15.37 0.0153 7.05 4.577

198.22

24.9 32.60 32.42 108 7.93 13.62 0.0136 6.27 4.071

193.62

24.7 31.20 31.04 109 9.05 12.04 0.012 5.53 3.59 185.3824.6 25.80 25.66 102 9.3 10.97 0.0109 5.02 3.25 153.25

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9

24.4 28.00 27.87 73 7.31 9.99 0.01 4.61 2.993

166.45

24.3 24.70 24.59 74 8.04 9.2 0.0092 4.24 2.753

146.86

24.2 21.40 21.31 66 8.36 7.89 0.0079 3.64 2.363

127.27

24 19.30 19.22 60 8.9 6.74 0.0067 3.09 2.006

114.79

24 17.80 17.73 54 8.9 6.07 0.0061 2.81 1.824

105.89

24 16.20 16.14 42 7.65 5.49 0.0055 2.53 1.643

96.39

24 14.40 14.34 45 8.9 5.06 0.005 2.3 1.493

85.64

24 13.00 12.95 35 7.92 4.42 0.0044 2.03 1.31

8

77.34

24 11.60 11.56 32 8.33 3.84 0.0038 1.75 1.136

69.04

24 10.20 10.16 33 9.18 3.59 0.0036 1.66 1.078

60.68

24 8.90 8.87 32 10.26 3.12 0.0031 1.43 0.928

52.97

24 7.50 7.47 31 11.12 2.79 0.0028 1.29 0.837

44.61

24 6.40 6.38 31 13.58 2.28 0.0023 1.06 0.688

38.1

24 5.40 5.38 26 13.82 1.88 0.0019 0.88 0.571

32.13

24 3.60 3.59 23 16.7 1.38 0.0014 0.65 0.422

21.44

24 2.55 2.54 16 17.13 0.93 0.0009 0.41 0.266

15.17

24 1.50 1.49 14 19.54 0.72 0.0007 0.32 0.208

8.9

24 1.00 1.00 12 26.37 0.46 0.0005 0.23 0.149

5.97

24 0.55 0.55 13 49.77 0.26 0.0003 0.14 0.091

3.28

24 0.40 0.40 10 94.22 0.11 0.0001 0.05 0.032

2.39

24 0.00 0.00 0 0 0 0 0 0 0

TABLA 1

Calculo de la caída de presión por ecuaciones de Carman% Lea y (r)un en ascenso

=Pca&man(>g#/m2)

=P ?e'a(>g#/m2

)

=P4&gun(>g#/m

2) 0 0

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1.9" 9.9 7.44

.39 12.66 9.51

30.0"7 40.72 30.77

2."9" 58.32 44.23

01.3" 75.93 57.77

03.11" 70.98 53.95

1".01" 94.09 71.82

79.73 88.59 67.55

".911 116.65 89.42

.92 124.35 95.46

27.701 141.96 109.33

9."" 121.6 93.3

."9 167.27 129.42

9.91 177.73 137.77

7.3"1 190.38 147.92

TABLA 11Calculo de la caída de presión por ecuaciones de Carman% Lea y (r)un en descenso

=Pca&man(>g#/m2)

=P?e'a

(>g#/m2)

=P4&gun

(>g#/m2)

1.70 201.95 157.2

3.2 170.02 131.61

39. 154.62 119.35

2.29 139.21 107.15

3.9 126.55 97.18

.3 111.7 85.54

10.00 96.29 73.53

12.2 91.34 69.69

7.12 78.68 59.89

03.11 70.98 53.95

2."9 58.32 44.23

"3.1 48.42 36.65

32.9 35.77 27.01

2.3 22.56 16.99

.1 17.61 13.25

.39 12.66 9.51

0.93 7.7 5.79

2."1 2.75 2.06

0 0

TABLA 12

Calculo de la desiación de la caída de presión por ecuaciones de Carman% Lea y (r)un en ascenso

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%es!"ac"#n

Carman

%es!"ac"#n

Le!a

%es!"ac"#n

$rgn

40.29 33.69 50.17

54.59 49.52 62.085.6 4.89 20.74

12.7 25.2 5.05

23.05 36.71 4.02

2.75 8.05 17.87

1.28 12.53 14.1

14.41 4.91 27.49

7.2 19.1 8.7

4.11 15.67 11.2

12.6 25.11 3.6511.89 2.11 24.89

13.55 26.17 2.38

13.01 25.57 2.66

12.96 25.51 2.49

TABLA 13

C"lculo de la desiación de la caída de presión por ecuaciones de Carman% Lea y (r)un en reersa

ADes'iaci+n

Ca&man

ADes'iaci+n?e'a

ADes'iaci+n

4&gun

42.81 58.68 23.52

33.3 48.11 14.65

31.41 46.02 12.71

29.98 44.42 11.16

33 47.77 13.48

29.98 44.43 10.6

25.52 39.47 6.535.48 50.53 14.85

33.7 48.54 13.06

43.2 59.11 20.94

37.77 53.07 16.09

35.64 50.7 14.07

50.14 66.84 25.98

33.82 48.71 12

78.09 97.87 48.88

90.79 112.06 59.3111.28 134.76 76.52

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3.77 15.06 13.81

0 0 0

TABLA 14

C"lculo del punto mínimo de fluidi*ación

Con'e&sion%m# 

(l5/@.#*2)

%m# (>g/s.m

2)

%m# (cm3/se

g)

Dp (m) 0.00062 Dp (plg) 0.025

3135.39 4.252 9.247

B# (>g/m3)

2278.84 ƿf (lb/ft3)160.18

1Bp

(>g/m3)997.8

ƿp(lb/ft3)

62.291

(>g/ms)0.00095

8μ (cp) 0.958

!R"#ICAS

!$%&'(a 1 Caida de presión ersus Caudal +,P s -. en escala lo)arítmica para columna sin lecho

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1 10 100 10000.1

1

10

f(x) = 0.01 x^1.21! = 0.98

D"t#$ %#&' (D"t#$)

Caudal cm3/s

=P cm CCl"

!$%&'(a 2

 Caida de presión ersus Caudal +,P s -. de los datos experimentales en ascenso y descenso

& '& 2& & 4& & *& +&&.&

.&

'&.&

'.&

2&.&

2.&

&.&

.&

4&.&

D"t#$ 't## D"t#$ 't##

Ca,al cm/s

P cm CCl4

!$%&'(a 3

 Caida de presión ersus Caudal +,P s -. en escala lo)arítmica de los datos experimentales en

ascenso y descenso

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' '& '&&'.&

'&.&

'&&.&

D"t#$ 't## D"t#$ 't##

Ca,al cm/s

P cm CCl4

%&a!ca "

lt+" ,'l l'c# $ l" 'l#c,", ,' l#$ ,"t#$ 'xp''t"l'$ ,' "$c'$#

,'$c'$#

0 5 10 15 20 25 3020

25

30

35

40

45

50

"$c'$# ,'$c'$#

$(g/2$)

(c)

%&a!ca

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0 1 2 3 4 5 60

50

100

150

200

250

300

% 'xp''t"l

""

l'"

Eg+

$ (g/$.2)

% 'xp''t"l (gf/2)

 #p""c ,' % c"lc+l","$ c# l" 'xp''t"l ("$c'$#)

%&a!ca 0

#p""c ,' % c"lc+l","$ c# l" 'xp''t"l ( ,'$c'$#)

0 1 2 3 4 50

50

100

150

200

250

300

'xp''t"l

""

'"

Eg+

$ (g/$.2

% 'xp''t"l (gf/2)

Discusi+n de &esul*ados

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" >+' '$t'