institute for horticultural science institute for food...
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1Institute for Horticultural Science
Institute for Horticultural Science
Institute for Food Technology
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tray
tray
film
film
closed container
bundle
closed container
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oPP-film, 26 µm PE-film, 20 µm
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oPP-film, 26 µm PE-film, 20 µm
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Modelling the Gas Atmosphere in MAP-Headspace as a Tool for Optimizing Fruit
and Vegetable Packages
F. Lippert,
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The objective of the presented research is to develop a tool to simulate the dynamics of gas exchange processes within packages for fruit and vegetable
objective
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• material & methods• model description• validation• future prospect• summary
outline
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• measuring respiration– CO2- production (GC, heat flow -detector)– O2- consumption (paramagnetic)
• film transmission rates (flow through system)
• CA-storage (open system)
• packaging trials (defined flow-packs)
materials & methods
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Konz
entra
tion
[%]
Typischer Verlauf der Konzentrationsänderungen von O2 und CO2- innerhalb von MA-Verpackungen
steady-state
model description
0
5
10
15
20
25
0 10 20 30 40
time after packaging [h]
O2
/ CO
2 -c
once
ntra
tion
[%]
carbon dioxideoxygen
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respiration rates as a function of temperature
RCO2 = Ar * EXP
RCO2...CO2 -production [ml*kg-1*h-1] Ar.......Arrhenius constantEa......activation energy
[kJ * mol -1]R .......gas constant
[0.008314 kJ mol-1 K-1] T........temperature [K]
Ea
R* T
0
200
400
600
800
1000
1200
0 5 10 15 20 25 30temperature [°C]
resp
iratio
n [m
g C
O2/
h/kg
]
carrot
broccoli
asparagus
model description
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0
5000
10000
15000
20000
0
25000
50000
75000
100000
Sauerstoff
Kohlendioxid
0
200
400
600
800
0 5 10 15 20 25temperature [°C]
O2-
trans
mis
sion
[ml*m
-2*T
ag-1
]tra
nsm
issi
on[m
mol
*m-2
*Tag
-1] CO
2-tra
nsm
issi
on [m
l*m-2
*Tag
-1]
water vapor
transmission rates of a 20µm LDPE-film for O2, CO2and water vapor (Moyls et al.,1998)
model descriptionoxygen
carbon dioxide
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CO2
KmnO2
0
50
100
150
0 2 4 6 8 10 12 14 16 18 20
O%
5%
10%
0
10
20
30
40
50
0 2 4 6 8 10 12 14 16 18 20
O%
5%
10%
0
10
20
30
40
50
0 2 4 6 8 10 12 14 16 18 20
O%
5%
10%
O2-concentration [%]
O2-
cons
umpt
ion
[ml*k
g- 1*h
-1]
Brokkoli
Spargel
Chicoree
VO2 = VmO2 * O2
(KmO2 + O2)*
VO2........O2 -consumption [ml*kg-1*h-1] VmO2.....max. O2 –consumption [ml*kg-1*h-1]KmO2.....Michaelis-constant for
O2 -consumption [% O2]O2 ........O2 -concentrationCO2 ......CO2 -concentrationKmnO2....Michaelis-constant for CO2 - related
inhibition of O2 -consumption [% CO2]
O2-dependent respiration rates at different CO2- concentrations (0, 5, 10 %) Peppelenbos, 1996
model description
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•Arrhenius constant, Arp•activation energy Erp•Michaelis-Menten constant, KmO2•Michaelis-Menten constant,KmCO2•respiratory coefficient, RQ•weight, E•Status of energy•biological age
model inputproduce specifity
•O2-transmission rate, Tro•CO2-transmission rate, Trc•film thickness, FD•volume, V•surface, O•Arrhenius constant, Arf•activation energy, Eaf
•temperature (fluctuation)•atmospheric condition
exogenous variables
film
O2
O2
CO2
CO2diffusio
n
resp
iratio
n
diffusion
diffusion
package specifity
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E2
temperaturefluctuation
air_O2
internalatmosphere (O2)
fresh produce
Diffusion (O2)
O2-consumption
temperature drivenrespiration(Arrhenius)
temperature
E1
temperaturefluctuation
Diffusion(CO2)
model design
packaging
internalatmosphere
(CO2)
CO2-production
Michaelis-Mentenkinetic
air_CO2
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Folie: LDPE, 20 µ
0
5
10
15
20
25
0 20 40 60 80 100 120 140 160Stunden
CO2 -
/ O2 -K
onze
ntrati
on [%
]
broccoli in LDPE (20µm), weight 80 g
validation
O2-concentration
CO2-concentration
hours
CO
2-/O
2co
ncen
tratio
n[%
]
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broccoli in oPP (26 µm), weight 80 g
validation
Folie: oPP, 26 µ
0
5
10
15
20
25
0 20 40 60 80 100 120 140 160Stunden
CO2 -
/ O
2 -Kon
zent
ratio
n [%
]
O2-concentration
CO2-concentration
hours
CO
2-/O
2co
ncen
tratio
n[%
]
hours
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cherries in LDPE (20 µm), weight 100 g
validation
Folie: LDPE, 20 µ
0
5
10
15
20
25
0 20 40 60 80 100 120 140 160Stunden
CO2 /
O2-K
onze
ntrati
on [%
]C
O2-
/O2
conc
entra
tion
[%]
hourshours
O2-concentration
CO2-concentration
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temperate fluctuation ( 0 °C to 20 °C after 60 h)
future prospects
0.00 50.00 100.00 150.000.00
5.00
10.00
15.00
20.00
25.00
Packung_CO2Packung_O2
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active packaging (25 %CO2, 21 % O2)
0.00 50.00 100.00 150.000.00
5.00
10.00
15.00
20.00
25.00
Packung_CO2Packung_O2
future prospects
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summary
film properties
To develop and to assess specific packaging for fruits and vegetable based on suitable produce-film-combinations thefollowing input defaults have to be made
produce properties
temperature
other parameters
The first results of modelling the dynamics of internal CO2 – and O2 – concentrations within flow packs was presented. It could beshown that the interrelation between all relevant parameters on a theoretical base is possible.
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Max Planck:
Die Naturwissenschaft braucht der Mensch zum Erkennen, die Religionbraucht er zum Handeln, weil wir mit unseren Willensentscheidungen nicht warten können, bis die Erkenntnisse vollständig und wir allwissend geworden sind.
Pack and PrayArt Cameron:
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Sortenabhängige Respirationsraten bei Feldsalat (bei 2 °C)
0
5
10
15
20
25
30
Trophy Juvert Vit Eurion Jade Gala Fiesta Rodion Favor Dante Cirilla
O2-V
erbr
auch
[ml /k
g/h)
Validierung
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0
100
200
300
400
500
600
0 5 10 15 20 25 30 35
Temperatur [°C]
Res
pira
tion
Verb
rauc
h/Pr
oduk
tion
[ml/k
g/h]
Messung O2 Messung CO2O2_1 CO2_1
O2 CO2
Ar: 5,029 * 1013 1,504 * 1010
Ea: 63,535 44,512
Brokkoli, Arrhenius-Diagramm
Lite
ratu
rwer
te
Validierung