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584 Appendix
Table A.13 Boiling point of sucrose solutions at 1 atm
Concentration (degrees Brix)
Boiling temperature (؇C)
33.33
50.00
60.00
66.67
71.43
75.00
77.78
80.00
100.67
101.62
102.70
103.85
105.04
106.23
107.20
108.55
Extracted from: Pancoast, H.M. and Junk, W.R. (1980). Handbook of Sugars.
The Avi Publishing Company, Westport.
Table A.14 Electrical conductivity of some materials
A** at 0؇C
A** at 100؇C
Material
C*
NaCl solution
1
65.8
10
63.2
100
57.7
200
55.6
500
44.0
1000
42.5
0.4
0.13 (at 20ЊC)
κ ϫ 105 at 18ЊC
646–701
993
Glucose solution
Butter
Olive oil
352.5
335.0
295.6
287.0
247.0
C* ϭ concentration, millimol/litre; A** ϭ 106 κ/C*; κ ϭ specific
conductance ohmϪ1.cmϪ1
Extracted from: West, C.J. (ed.) (1933). International Critical
Tables. National Academy of Science, New York.
Table A.15 Thermodynamic properties of saturated R-134a
T (؇C)
P (kPa)
v (gas) (m3kg؊1)
h (kJ.kg؊1)
s (kJ.kg؊1K؊1)
Liquid
Ϫ50
Ϫ45
Ϫ40
Ϫ35
Ϫ30
Ϫ25
Ϫ20
Ϫ15
Ϫ10
Ϫ5
29.4
39.1
51.1
66.1
84.3
106
133
164
201
243
0.61
0.47
0.36
0.28
0.23
0.18
0.15
0.12
0.10
0.083
Gas
Liquid
Gas
136
142
148
155
161
167
174
180
187
193
368
371
374
377
381
384
387
390
393
396
0.743
0.770
0.797
0.823
0.849
0.875
0.901
0.926
0.951
0.976
1.782
1.773
1.765
1.759
1.752
1.747
1.742
1.738
1.734
1.731
(Continued)
Appendix 585
Table A.15 Continued
T (؇C)
0
5
10
15
20
25
30
35
40
P (kPa)
v (gas) (m3kg؊1)
h(kJ.kg؊1)
293
350
415
489
572
666
771
888
1017
0.069
0.058
0.049
0.042
0.036
0.031
0.027
0.023
0.020
Liquid
200
207
214
220
228
235
242
249
257
s(kJ.kg؊1K؊1)
Gas
399
402
405
407
410
413
415
417
420
Liquid
1.000
1.024
1.048
1.073
1.096
1.120
1.144
1.168
1.191
Gas
1.728
1.725
1.723
1.721
1.719
1.717
1.716
1.714
1.712
45
1160
0.017
264
422
1.215
1.710
50
1319
0.015
272
424
1.238
1.709
v ϭ specific volume; h ϭ enthalpy; s ϭ entropy. This is an abridged summary table. For more detailed
data please consult: http://refrigerants.dupont.com or http://eng.sdsu.edu/testcenter/testheme
Table A.16 Thermodynamic properties of superheated R-134a
Temperature Pressure (kPa); (Saturation temperature ؇C)
(؇C)
400 (9)
50 (؊40)
100 (؊26)
200 (؊10)
h
s
h
s
h
s
Ϫ40
374
378
382
386
1.814
384
Ϫ20
Ϫ15
1.830
388
1.768
393
1.845
392
1.784
Ϫ10
397
1.860
396
1.799
Ϫ5
401
1.875
400
1.815
397
0
405
1.889
5
409
1.904
1.750
404
1.830
401
1.766
408
1.844
406
10
413
1.781
1.919
412
1.859
410
15
417
1.933
416
1.874
414
20
421
1.947
421
1.888
25
426
1.961
425
1.903
30
430
1.976
429
35
434
1.989
40
438
45
443
50
h
1.753
389
s
1.799
Ϫ25
h
1.783
Ϫ30
1000 (39.3)
1.767
Ϫ35
600 (21.5)
h
s
s
1.797
405
1.727
1.812
410
1.743
418
1.827
414
1.759
423
1.841
419
1.775
414
1.730
1.917
427
1.856
423
1.790
419
1.746
433
1.931
432
1.870
428
1.805
424
1.762
2.003
438
1.945
436
1.885
433
1.820
429
1.778 420
1.715
2.017
442
1.959
441
1.890
437
1.835
434
1.793 426
1.732
447
2.031
447
1.973
445
1.913
442
1.849
439
1.809 431
1.749
55
452
2.044
451
1.986
450
1.927
447
1.864
443
1.823 437
1.766
60
456
2.058
455
2.000
454
1.941
451
1.878
448
1.838 442
1.782
(Continued)
586 Appendix
Table A.16 Continued
Temperature Pressure (kPa); (Saturation temperature ؇C)
(؇C)
400 (9)
50 (؊40)
100 (؊26)
200 (؊10)
600 (21.5)
1000 (39.3)
h
h
s
h
s
h
s
h
s
h
s
s
65
461
2.072
460
2.014
459
1.954
456
1.892
453
1.853 447
1.972
70
465
2.085
465
2.027
463
1.968
461
1.906
458
1.867 452
1.813
75
470
2.098
493
2.040
468
1.981
466
1.920
663
1.881 457
1.828
80
475
2.111
474
2.054
473
19995 470
1.934
468
1.895 463
1.842
h ϭ enthalpy; s ϭ entropy. Note: This is an abridged summary table. For more detailed data please
consult: http://refrigerants.dupont.com or http://eng.sdsu.edu/testcenter/testheme
Table A.17 Properties of air at atmospheric pressure
Temperature
(؇C)
Density
(kg.mϪ3)
Viscosity
(Pa.s)
Thermal conductivity
(w.mϪ1.KϪ1)
Specific heat
( J.kgϪ1.KϪ1)
Prandl number
(9 dimensionless)
0
1.25
17.5 ϫ 10Ϫ6
0.0238
1010
20
1.16
18.2 ϫ 10Ϫ6
0.0252
1012
0.73
40
1.09
19.1 ϫ 10Ϫ6
0.0265
1014
0.73
60
1.03
20.0 ϫ 10Ϫ6
0.0280
1017
0.72
Ϫ6
0.74
20.8 ϫ 10
0.0293
1019
0.72
100
0.92
21.7 ϫ 10Ϫ6
0.0308
1022
0.72
120
0.87
22.6 ϫ 10Ϫ6
0.0320
1025
0.72
140
0.83
23.3 ϫ 10Ϫ6
0.0334
1027
0.72
160
0.79
24.1 ϫ 10Ϫ6
0.0345
1030
0.72
180
0.75
24.9 ϫ 10Ϫ6
0.0357
1032
0.72
0.72
Ϫ6
0.0370
1035
0.72
80
200
0/97
25.7 ϫ 10
Appendix 587
0.07
Transition zone
0.06
Turbulent zone
0.04
ε/D ϭ 0.001
Laminar zone
Friction factor
0.05
0.03
0.02
ε/D ϭ 0.0001
Smooth pipe
0.01
0
1.00Eϩ 03
1.00E ϩ 04
1.00E ϩ 05
1.00E ϩ06
Reynolds number
Figure A.1 Friction factors for flow in pipes
0.1
100%
0.09
60%
80%
40%
50
20%
10%
H, kg water vapor/kg dry air
0.08
0.07
5%
Wet-bulb temperature, C
0.06
0.05
40
0.04
0.03
30
0.02
20
0.01
0
10
20
30
40
50
60
Dry bulb temperature, C
Figure A.2 Psychrometric chart
70
80
90
588 Appendix
Power function φ
100
10
Baffled
Unbaffled
1
1
10
100
1000
10 000
100 000
Reynolds number
Figure A.3
Mixing power function, turbine impellers
100
Power function φ
10
Baffled
1
Unbaffled
0.1
1
10
100
1000
Reynolds number
Figure A.4 Mixing power function, propeller impellers
10 000
100 000
Appendix 589
1
NBi ϭ 0.5
NBi ϭ 1
0.1
Θ
NBi ϭ 2
0.01
NBi ϭ ∞
0.001
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
αt/L2
Figure A.5 Unsteady state heat transfer in a slab
1
NBi ϭ 0.5
0.1
Θ
NBi ϭ 2
NBi ϭ ∞
NBi ϭ 1
0.01
0.001
0
0.5
1
1.5
2
αt/R2
Figure A.6 Unsteady state heat transfer in an infinite cylinder
2.5
3
3.5
590 Appendix
1
0.1
NBi ϭ 0.5
Θ
NBi ϭ 1
NBi ϭ 2
0.01
NBi ϭ ∞
0.001
0
0.5
1
1.5
2
2.5
3
3.5
αt/R
2
Figure A.7 Unsteady state heat transfer in a sphere
1
Infinite slab
0.1
E
Infinite cylinder
Eϭ
0.01
C∞ Ϫ C
Sphere
C∞ Ϫ C0
0.001
0
0.1
0.2
0.3
0.4
Dt/z2
Figure A.8 Unsteady state mass transfer, average concentration
0.5
0.6
0.7
Appendix 591
1
0.9
0.8
0.7
erf(X)
0.6
0.5
0.4
0.3
0.2
0.1
0
0
0.5
1
1.5
X
Figure A.9 Error function
2
2.5
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Index
Absorption cycle 417–8
Absorptivity 96
Activation energy 120
Actuator 130
Adiabatic saturation 462–3
Adsorption 279–94
batch 282–7
column 287–8
repeated batch 284
Agglomeration 504
Angle of repose 61
Appert, Nicolas 355
Arrhenius equation 119–20, 392
Aseptic processing 388–90
Asymmetric membranes 246
Atomizing 153
Autoclave see Retort
Azeotrope 296
Baking 528–30
impingement oven 530
microwave 530
ovens 529–30
Barometric leg 447, 448
Beer-Lambert law 535
Belt dryer 489
Belt-trough dryer 489
Bernoulli equation 43–6
BET (Brunau. Emmett, Teller) model 18, 281
BET monolayer 18, 281
Bimetal thermometers 143
Bin dryer 490–1
Bingham fluids 40
Food Process Engineering and Technology
ISBN: 978-0-12-373660-4
Biofilms 563
Biot number 91
Black body 96
Blanching 356
Block diagram (control) 132–3
Boiling point elevation (BPE) 431, 436
Boiling point 436–7
Boundary layer (in turbulent flow) 36–7
Bourdon gage 145
Breakthrough curve 288
Brix (ºBrix), Bx 432
Cabinet dryer 486–7
Cakes (filtration) 205–6
Calandria 438, 451
Can seamers 379–80
Canning 375
Capillary viscosimeter 32–3
Cellophane 551
Centrifugation 217–32
Centrifuges 227–30
basket 230
decanter 230
desludger (self cleaning) 229
nozzle 228
solid-wall bowl 228
tubular 227
Characteristic curve 46
Chemical reactions 115–6
elementary 116
non-elementary 116
Chilling 391–400
Chlorine 567–8
Copyright © 2009, Elsevier Inc.
All rights reserved
594 Index
Chopping 153, 171
Cleaning in place (CIP) 570
Cleaning out of place (COP) 570
Cleaning 561–92
dry 569–70
effect of cleaning agent 564–6
effect of contaminant 562–4
effect of shear 566
effect of support 564
effect of temperature 566
kinetics 562–6
wet 568–9
Climacteric crops 398
Coefficient of performance (COP) 415
Cognac, distillation of 315
Cold chain 391, 423
Cold storage 420–3
Collection efficiency 197
Combined processes 353
Compression ratio (extruder) 336
Concentration polarization 238–9
Condensers (evaporation) 447
direct ( jet) 447, 448
indirect 447, 448
Conductive switch 147
Conductometry 148
Control loop 130–1
Control modes 136–141
integral 139–40
on-off 136–7
proportional 138–9
proportional-integral (PI) 140
proportional-integral-differential 140
Control valve 149–50
normally closed 149
normally open 149–50
Controlled atmosphere (CA) 398–9
Controller 130
intelligent controller 149
programmable logic controller (PLC) 149
Corrosion, tinplate 555–6
Coulomb’s law of friction 58–9
Critical moisture content 467
Crystal growth 320–3
Crystallization 317–31
kinetics 318–23
salt 327–8
sucrose 325–7
Crystallizers (pans) 323
Cutters 171–4
bowl 171–2
cube 171
silent 171
water jet 173–4
Cutting 153, 171–4
Cyclone 231–2
Darcy’s law 200, 235
Decimal reduction time 356–8
effect of temperature 358–60
Deformation 8–9
elastic 8
plastic 8–9
Dehydration (drying) 459–510
conductive 460, 481–5
convective 460, 464–81
drum 483
effect on quality 460, 502–3
energy consumption 505–7
fixed bed 480–1
kinetics 460
objectives of 459
radiation 477
sun (solar) 501
superheated steam 484–5
tray 478–80
tunnel or belt 481
vacuum 484
Desorption drying 512
Dew point 463
Dielectric loss factor 108
Dielectric loss tangent 108
Dielectric permittivity 108
Differential scanning calorimetry
(DSC) 23
Diffusivity 73–6
effective 75
Dilatant fluids 40
Disc-bowl centrifuge capacity 223–4
Disinfection 561–92
kinetics 567–8
Dissolution 328–30
Distillation 295–315
batch (differential) 301
bottoms 295
continuous flash 298