586
Appendix
Table A.17 Properties of air at atmospheric pressure
Temperature
(
ⴗ C)
Density
(kg.m
3
)
Viscosity
(Pa.s)
Thermal conductivity
(w.m
1
.K
1
)
Specifi c heat
( J.kg
1
.K
1
)
Prandl number
(9 dimensionless)
0
1.25
17.5
10
6
0.0238
1010
0.74
20
1.16
18.2
10
6
0.0252
1012
0.73
40
1.09
19.1
10
6
0.0265
1014
0.73
60
1.03
20.0
10
6
0.0280
1017
0.72
80
0/97
20.8
10
6
0.0293
1019
0.72
100
0.92
21.7
10
6
0.0308
1022
0.72
120
0.87
22.6
10
6
0.0320
1025
0.72
140
0.83
23.3
10
6
0.0334
1027
0.72
160
0.79
24.1
10
6
0.0345
1030
0.72
180
0.75
24.9
10
6
0.0357
1032
0.72
200
0.72
25.7
10
6
0.0370
1035
0.72
Table A.16 Continued
Temperature
(
ⴗC)
Pressure (kPa); (Saturation temperature
ⴗC)
50 (
ⴚ40)
100 (
ⴚ26)
200 (
ⴚ 10)
400 (9)
600 (21.5)
1000 (39.3)
h
s
h
s
h
s
h
s
h
s
h
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
enthalpy; s 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
Appendix 587
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
1.00E
03
1.00E
04
1.00E
05
1.00E
06
Reynolds number
Friction factor
Transition zone
Smooth pipe
ε/D 0.001
ε/D 0.0001
Turbulent zone
Laminar zone
Figure A.1
Friction factors for fl ow in pipes
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
10
20
30
40
50
60
70
80
90
Dry bulb temperature, C
H, kg water vapor/kg dry air
100%
80%
60%
40%
20%
10%
5%
50
40
30
20
Wet-bulb temperature, C
Figure A.2
Psychrometric
chart
588
Appendix
0.1
10
1
100
1
10
100
1000
10 000
100 000
Reynolds number
Power function
φ
Baffled
Unbaffled
Figure A.4
Mixing power function, propeller impellers
1
10
100
1
10
100
1000
10 000
100 000
Reynolds number
Power function
φ
Baffled
Unbaffled
Figure A.3
Mixing power function, turbine impellers
Appendix 589
0
0.001
0.01
0.1
1
0.5
1
1.5
2
2.5
N
Bi
∞
N
Bi
2
N
Bi
1
N
Bi
0.5
αt/L
2
3
3.5
4
4.5
5
Θ
Figure A.5
Unsteady state heat transfer in a slab
0
0.001
0.01
0.1
1
0.5
1
1.5
2
2.5
N
Bi
∞
N
Bi
2
N
Bi
1
N
Bi
0.5
αt/R
2
3
3.5
Θ
Figure A.6
Unsteady state heat transfer in an infi nite cylinder
590
Appendix
0
0.001
0.01
0.1
1
0.1
0.2
0.3
0.4
0.5
Dt/z
2
0.6
0.7
E
Sphere
Infinite cylinder
Infinite slab
E
C
∞
C
C
∞
C
0
Figure A.8
Unsteady state mass transfer, average concentration
0
0.001
0.01
0.1
1
0.5
1
1.5
2
2.5
N
Bi
∞
N
Bi
2
N
Bi
1
N
Bi
0.5
αt/R
2
3
3.5
Θ
Figure A.7
Unsteady state heat transfer in a sphere
Appendix 591
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0
0.5
1
1.5
2
2.5
X
erf(X)
Figure A.9
Error
function
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Food Process Engineering and Technology
Copyright © 2009, Elsevier Inc.
ISBN: 978-0-12-373660-4
All rights reserved
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 fl uids 40
Biofi lms 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 fl ow) 36–7
Bourdon gage 145
Breakthrough curve 288
Brix (ºBrix), Bx 432
Cabinet dryer 486–7
Cakes (fi ltration) 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
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
Coeffi cient of performance (COP) 415
Cognac, distillation of 315
Cold chain 391 , 423
Cold storage 420–3
Collection effi ciency 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
fi xed 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 fl uids 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 fl ash 298
Index 595
distillate 295
fractional 304–313
residue 295
steam 313
Dittus-Boelter correlation 85
Double seam 379–80
Drum dryer 499–500
classifi cation 499
feeding methods 500
Drying curve 464–7
characteristic 477–8
constant rate 466 , 467–70
falling rate 466 , 470–2
rising rate 466
Drying rate 464–5
effect of external conditions 475–6
Drying time 472–5
Ejector 55
Electrical conductivity 111
Electrical properties 11
Electrodialysis 253–4
Electromagnetic waves (
γ rays) 533 , 535–7
Electron accelerators 534–5
Electron beams (
β rays) 533 , 535–6
Electrostatic forces 57
End-over-end agitation 366
Energy balance 3
Ergun equation 63–4
Error (deviation) 130
Error function 95
Ethylene 398
Evaporation 429–58
aroma loss and recovery 457
cut-back 457–8
energy balance 430–2
energy economy 440–7
material balance 430–2
objectives of 429
thermal damage to quality 454
Evaporators 448–53
centrifugal 453
climbing fi lm 451–2
falling fi lm 453
forced circulation 439
natural circulation 451
open pan 448
plate 453
Robert 450
swept surface 453
vacuum pan 449
EVOH 551
Exhausting, thermal 378
Expression 211–5
applications 213–5
mechanism 211–3
Extinction coeffi cients 536
Extraction 259–77
equilibrium 260 , 262
kinetics 260
material balance 260 , 262
multistage countercurrent 262–7
stage effi ciency 266
supercritical 271–6
Extractors 268–71
auger 271
basket 271
carousel 270–1
fi xed bed 268–9
moving belt 269–70
Extruder barrel 334
Extruder die 335
Extruder screw 335
Extruder, single screw 334–40
Extruder, twin-screw 340–343
co-rotating 341
counter-rotating 341
Extrusion cooking 333–4
Extrusion 333–50
breakfast cereals 346–7
chocolate 349
confectionery 348–9
effect on foods 343–5
effect on proteins 344–5
effect on starch 344
expanded snacks 345–6
fl ow models 337–40
forming (pasta) 345
pellets 347
pet foods 349
residence time 340
F value 361
F
0
361
Feather’s rule 535
Fick’s 2nd law 89–92
596
Index
Fick’s 1st law 70–3
Filled thermometers 142
Filler 375–7
hand 376
hand-pack 376
piston 377
tumbler 377
Filling, hot 378
Film boiling 435
Film, steady state mass transfer 79–80
Filter aid 206
Filters 207–10
cartridge 208
depth 207
fi lter centrifuge 210
fi lter press 208
frame-and-plate 208
rotary vacuum 208–10
Filtration 195–216
constant pressure 201–4
constant rate 201–4
cross-fl ow see tangential fi ltration
dead-end 199
depth 196–8
optimization 204–5
surface (barrier) 198–206
Finite shapes, transient conduction 92–4
Float switch 147
Flow diagram (process) 4–6
block 4
engineering 5–6
equipment 4
Flow Function (ffc) 61
Flow through porous media 199
Fluid dynamics 27
Fluid fl ow 27–67
Fluid head 38
Fluidization point 62–4
Fluidization 62–5
Fluidized bed dryer 497–8
Fluidized bed 62–5
Food chemistry 7
Food physics 7
Food processes 1–6
batch 3
continuous 4
mixed 4
preservation 1
transformation 1
Food safety 3
Fouling 104–5
Fourier transform infrared spectroscopy
(FTIR) 148
Fourier’s 1st law 70–3
Fourier’s 2nd law 89–92
Freeze concentration 520–2
basic principles 520
process 521–2
Freeze dryers 519–20
batch 520
continuous 520
structure 519–20
Freeze drying 511–23
advantages 511
commercial facilities 518–9
in practice 518–9
kinetics 512–8
Freezers 423–6
blast 423–5
cabinet 423
fl uidized bed 424–5
plate 425–6
scraped surface 426
spiral belt 424
tunnel 424
Freezing 400–28
cryogenic 426–7
effect on texture 408–9
point 401–2
time 402–8
Freundlich’s model 281
Friction factor chart 37–8
Friction factor 37
Froude number (Fr) 178–9
Frozen storage 409–10
effect on food quality 409–10
Frying 525–8
deep (immersion) 526
heat and mass transfer 526–7
pan 525–6
stir 526
systems 527–8
Fuzzy logics 149
Gel polarization 239–40
Glass transition temperature 20–3
Glassy state 19–20
Grain dryer 492
Index 597
Grashof Number 82
Gray (radiation dose unit) 537
Grinding 153
Guggenheim-Anderson-de Boer (GAP)
model 19
Hagen-Poiseuille equation 31
Half life 119
Head space 376 , 378
Heat exchangers 100–107
plate 106–7
scraped surface 107
shell-and-tube 106
tubular 105–6
Heat transfer coeffi cient 81–7
Heat transfer in evaporation 432–40
overall coeffi cient 433–6
temperature drop 436–40
Heat transfer 69–112
conduction 70–81
convection 81–7
radiation 96–100
Heating lag factor, j 367
Helicoidal extractor 214
Herschel-Bulkley fl uids 40
High pressure preservation 541
High temperature–short time (HTST) 363
Homogenization 153 , 189–93
mechanism 189–91
Homogenizers 191–2
high pressure 191–2
high shear 191
ultrasonic 192
Hot-wire anemometer 147
Humidity 461
absolute 461
relative 462
Hurdle effect see Combined processes
Hydraulic diameter 29
Hydraulic permeability 236
Hysteresis 17
Individual quick freezing (IQF) 424–5
Infrared thermometry 144
Interphase mass transfer 87–8
Ion exchange 286–94
Ion exchangers 289–92
cross-linkage 291
electrolytic properties 291
exchange capacity 289
selectivity 290–1
Ionizing irradiation 533–41
biological effects 538–9
chemical effects 538
industrial applications 540–1
Isotope sources 534
Jenike shear cell 59–60
Joule’s law 110
Juice extractor (citrus) 215
Kick’s law 165
Kneading 181–2
Kozeny-Carman equation 64 , 205–6
Laminar fl ow 28–36
around immersed particless 34–6
in tube 30–3
on fl at surfaces 33–4
Langmuir’s model of adsorption 280–1
Lethality 360
Liquid bridge 57
Liquid carbon dioxide 427
Liquid nitrogen 427
Liquid-liquid extraction 259 , 276–7
Liquid-liquid separation (centrifugal) 224–6
Low temperature 392–400
effect on chemical spoilage 392–5
effect on enzymes 395–6
effect on microorganisms 396–7
effect on physical properties 399–400
effect on respiring tissues 396–9
MacLeod Gage 144
Manometers 144
Mashing 153
Mass fl owmeter (Coriolis) 147
Mass transfer coeffi cient 81–7
Mass transfer 69–112
Massecuite 325
Material balance 3
Mean temperature difference, logarithmic 103
Mechanical properties 8–9
Membrane confi gurations 247–9
hollow fi ber 249
plate-and-frame 247
spiral wound 247
tubular 248
598
Index
Membrane processes 233–57
Membrane systems 245–9
Mesophiles 396–7
Michaelis-Menten constant 121
Michaelis-Menten equation 121
Microbial growth 122
decline phase 122
lag phase 122
log phase 122
stationary phase 122
Microfi ltration (MF) 233 , 249
Microwaves 107–9
Mills 166–70
attrition 168–70
ball 169
colloid 170
disc 168–9
hammer 166–7
impact 166
pressure 167
roller 167
Mixer dryer 501
Mixers 175–89
anchor 175
drum 187
paddle 175
planetary 182
propeller 176
ribbon 189
sigma blade 182–3
tumbler 188
turbine 175
V-shaped 188
Mixing 175–93
energy input 178
fl ow patterns 177
fl uids (blending) 175–84
quality (mixedness) 184–6
solids 184–9
Mohr diagram 60
Molasses 326
Molecular mobility 391
Montreal Protocol 419
Mother liquor 317 , 321
Multilayer slab 76
Multiple effect evaporation 441–5
feed backward 442
feed-forward 441
optimization 443–4
Murphee effi ciency 266
Nanofi ltration (NF) 233
Net suction pressure 46
Neural network 149
Newman’s law 94
Newtonian fl uids 28 , 40
Non-Newtonian fl uids 28
fl ow in pipe 41–2
Nucleate boiling 435
Nucleation 318–20
heterogeneous 319
homogeneous 319
secondary 320
Nusselt Number 82
Odor abatement 571–2
biofi lter 572
catalytic combustion 572
scrubbing 572
Ohmic (Joule) heating 109–12
Operating line 299
Orifi ce fl owmeter 146
Osmotic dehydration 507
Osmotic pressure 242
Overall heat transfer coeffi cient U 100–102
Packaging materials 546–51
glass 549
mechanical properties 554–5
metals 548
optical properties 553–4
paper 549
polymers 549–51
transport properties 551–3
Packaging, food 545–60
active 557
controlled atmosphere (CAP) 557
environmental issues 558
modifi ed atmosphere (MAP) 557
objectives 545–6
vacuum 556
Paddle switch 147
Particle size distribution 155–60
Gaudin-Schuhmann distribution 159
log-normal distribution 159
normal distribution 158–9
Rosin-Ramler (Weibull) distribution 160
Particle size 154–5
Pasteur, Louis 355
Pasteurization 355
milk 387
Index 599
Peltier effect 414 , 418
Percent saturation (pychrometry) 462
Permeability 80
Phase transition 19–23
Physical properties 7–23
Piezoelectric transducer 145
Piping 56
Pitot tube fl owmeter 146
Plank’s equation 402–8
Plant layout 6
Pneumatic dryer 498
Pneumatic transport 65–8
positive pressure 65–6
vacuum 67–8
Polyethylene terephtalate (PET) 550
Polyethylene 550
Polystyrene 550
Ponchon-Savarit diagram 264–7
Pool boiling 436
Pot still 315
Powder fl ow 56–62
Power number (Po) 178–80
Prandl Number 82
Preservation 352
chemical 352
ionizing radiation 352
low temperature 352
reduction of water activity 352
thermal 352
Preservation processes 351
Presses 214–5
hydraulic 214
infl ated pouch 215
screw (expeller) 214
Process control 129–51
automatic 129
basic concepts 129–30
feedback 131
feed-forward 131–2
optimization 141
Process 130
Pseudoplastic fl uids 40
Psychrometry 461–4
Psychrophiles 396–7
Psychrotropes 396–7
Pulper-fi nisher 213–4
Pulsed electric fi elds 542
Pulsed intensive light 542
Pump selection 52–6
Pumps 46–55
centrifugal 46–9
diaphragm 50
positive displacement 49–52
progressing cavity (Moyno) 50–2
reciprocating 49
rotary 50
Purity (in sugar) 325
Rad (radiation dose unit) 537
Radiation dose 537–8
Rankine cycle 413
Raoult’s law 295
Raw materials 1
Rayleigh’s law 302
Reaction kinetics 115–128
Reaction order 116–119
fi rst order 118–9
rate constant 117
zero order 117
Reactors 123–4
continuous stirred tank (CSTR) 124–5
laminar fl ow 124
plug fl ow 124
Refl ectivity 96
Refractive index 148
Refrigerants 414 , 418–9
ozone depleting 419
Refrigerated transport 423
Refrigeration 391–412 , 413–28
mechanical 413–9
absorption 417–8
Regulation 129
Rehydration 503–4
Relative volatility 296
Residence time distribution (RTD) 123–6
cumulative distribution function 124–6
frequency density function 124–6
Residence time 123
Resistance thermometers 143
Retort 380–5
batch 380–3
continuous 383–5
crateless 380–1
Reverse osmosis (RO) 233 , 241–4 , 251–3
Reynolds Number (for mixing) 178–9
Reynolds Number 28–9 , 82
Rheological models 9
Bingham 9
Maxwell 9
Voight-Kelvin 9
600
Index
Rheology 27 , 40–3
Rheopectic fl uids 41
Rittinger’s law 164–5
Rotameter 145–7
Rotary dryer 490
Rotary washer 569
Rubbery state 21
Sandiness in ice cream 317
Sanitation 561–92
Saran 550
Schmidt Number 83
Screw conveyor dryer 500–1
Seebeck coeffi cient 143
Segregation (in particulate solids) 184
Selective permeability 233
Semi-infi nite body 94–5
Sensor 130 , 142–8
color 148
composition 148
fl ow rate 145–7
level 147–8
pressure 144–5
temperature 142
Servo control 129
Set point
Settling tank 218–9
Shear rate 28
Shear stress 28
Shelf life 351
Sherwood Number 83
Sieder-Tate equation 85
Sieving coeffi cient 237
Size reduction 153–73
energy consumption 163–5
forces 163
mechanism 163
Slab, steady state conduction 76
Slab, transient conduction 90–2
Soaker-washer 569
Solid-liquid extraction (leaching) 259 , 261–71
Sorption isotherm (water vapor) 16–19
Specifi c heat 10
Spin agitation 366
Spoilage, food 351
Spray dryer 492–7
“ Leafl ash ” atomization 495
air fl ow patterns 496–7
air heater 493
atomizer 493
bi-fl uid nozzle 495
control 497
pressure nozzle 494
ultrasonic atomization 495
Steady state 71
Steam injection 378
Steam-jet ejector 55–6
Sterilization 355
fl ame 365 , 383–4
Stoke’s law 35
Strain gages 144–5
Strain, defi nition 8
Stress, defi nition 8
compressive 9
shear 9
tensile 9
Structure 11–3
cellular 11
gels 12
emulsions 12
foams 12
powders 13
fi brous 11–2
Sublimation drying 512
Sublimation front 513
Sublimation 511–2
Supercritical carbon dioxide 273–4
Supercritical extraction applications 275–6
decaffeination of coffee 275
hops 275
Supercritical extraction systems 273–4
Supercritical fl uid (SCF) 271–3
as solvents 272–3
properties 271
Supersaturation 317
Surfactants 565–6
System response 133–6
fi rst order 133–5
second order 135–6
Tangential fi ltration 234–5
Temperature quotient, Q
10
120
Theoretical equivalent area,
Σ 221
Thermal conductivity 73–4
Thermal diffusivity 73–4
Thermal processes 375–90
Index 601
Thermal processing 355–74
in-fl ow 369–73 , 386–8
in-package 364–9 , 385–6
optimization 363–4
Thermal properties 10–11
Thermistors 144
Thermocouples 143
Thermophiles 396–7
Thixotropic fl uids 41
Three-dimensional color space 148
Transmembrane pressure difference
(TMPD) 235
Transmissivity 96
Transport phenomena 69–70
Triple point 512
Tubular centrifuge capacity 220–3
Tunnel dryer 487–8
Turbulent fl ow 28 , 36–9
around immersed particles 39
in tube 37–8
Ultrafi ltration (UF) 233 , 249–51
Unit operations 1–2
Vacuum closing 379
Van der Waals forces 57
Van’t Hoff ’s equation 242–3
Vapor compression cycle 413–7
Vapor recompression 446–7
mechanical 446
thermal 446–7
Vapor-liquid equilibrium (VLE) 295–8
Variables 130
controlled 130
manipulated 130
Venturi fl owmeter 146
View factor 99
Viscosity 27–8
Washing 568–70
Water activity 13–9
defi nition 14
determination 14
prediction 14–16
Water as plasticizer 21
Water in foods 13–4
Water softening 292–3
Wet bulb temperature 463
Whisky, distillation of 315
Williams-Landel-Ferry (WLF) equation 22
Yield locus 59
Young’s modulus 8
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Food Science and Technology
Series List
Maynard A. Amerine, Rose Marie Pangborn, and Edward B. Roessler, Principles of
Sensory Evaluation of Food. 1965.
Martin Glicksman, Gum Technology in the Food Industry. 1970.
Maynard A. Joslyn, Methods in Food Analysis, second edition. 1970.
C. R. Stumbo, Thermobacteriology in Food Processing, second edition. 1973.
Aaron M. Altschul (ed.), New Protein Foods: Volume 1, Technology, Part A—1974.
Volume 2, Technology, Part B—1976. Volume 3, Animal Protein Supplies,
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