MEMBRANE APPARATUS AND METHOD FOR USE IN SHIPPING CONTAINER
20210188518 · 2021-06-24
Inventors
Cpc classification
B01D2259/4566
PERFORMING OPERATIONS; TRANSPORTING
B65D81/2076
PERFORMING OPERATIONS; TRANSPORTING
A23B7/148
HUMAN NECESSITIES
B01D53/228
PERFORMING OPERATIONS; TRANSPORTING
Y02C20/40
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
A23L3/3418
HUMAN NECESSITIES
B01D2325/20
PERFORMING OPERATIONS; TRANSPORTING
B01D2258/0275
PERFORMING OPERATIONS; TRANSPORTING
International classification
B65D81/24
PERFORMING OPERATIONS; TRANSPORTING
A23B7/148
HUMAN NECESSITIES
A23L3/3418
HUMAN NECESSITIES
Abstract
This invention relates to a method of, and apparatus for, controlling gas composition within a refrigerated container, such as to extend the life of perishable goods during transport within the refrigerated container. The invention involves contacting a blended airstream with a membrane system. The blended air stream is formed from a first air stream withdrawn from the refrigerated container and a second air stream obtained from an ambient environment external to the refrigerated container. The invention also relates to a refrigerated container, a membrane system, a gas membrane separation module and method for installing the apparatus, membrane system or gas membrane separation module into or onto a refrigerated container.
Claims
1. A method for controlling the atmosphere within a refrigerated shipping container containing respiring produce, the method including: blending a first air stream withdrawn from an internal environment within the refrigerated shipping container with a second air stream obtained from an ambient environment external to the shipping container to form a blended air stream; subjecting the blended air stream to a membrane separation process using a separation membrane having greater relative selectivity for CO.sub.2 and O.sub.2 than N.sub.2 to provide an N.sub.2-rich gas stream; and returning the N.sub.2-rich gas stream to the internal environment.
2. The method of claim 1, wherein the first air stream is a cooled CO.sub.2-rich air stream.
3. The method of claim 1, wherein the N.sub.2-rich gas stream is lean in CO.sub.2 and O.sub.2.
4. The method of claim 1, wherein the step of subjecting the blended air stream to the membrane separation process includes: contacting the blended air stream with the membrane to produce a CO.sub.2-, O.sub.2-rich permeate stream and a retentate stream that is the N.sub.2-rich gas stream; and exhausting the CO.sub.2-, O.sub.2-rich permeate stream to the external environment.
5. The method of claim 1, wherein the first air stream and the second air stream are blended in a ratio of from about 99:1 to about 8:1.
6. The method of claim 5, wherein the ratio is from about 95:1 to about 8.5:1.
7. The method of claim 1, wherein the second air stream has a volumetric flowrate that is sufficient that a volumetric flow rate of the N.sub.2-rich gas stream is from 80% and up to 120% of a volumetric flow rate of the first air stream.
8. The method of claim 7, wherein the volumetric flow rate of the N.sub.2-rich stream is from 100% and up to 110% of the volumetric flow rate of the first air stream.
9. The method of claim 1, wherein the membrane has a CO.sub.2:N.sub.2 selectivity ratio of at least 5:1
10. The method of claim 1, wherein the membrane has an O.sub.2:N.sub.2 selectivity ratio of at least 1.5:1.
11. The method of claim 1, wherein the membrane has a CO.sub.2:O.sub.2 selectivity ratio of at least 5:2.
12. The method of claim 1, wherein the refrigerated shipping container: (i) does not include a vent, or (ii) is operated with the vent set to a substantially closed position, or (iii) is operated with the vent set to a position such that air flow through the vent is less than that required to replace the first air stream that is withdrawn from the internal environment.
13. A refrigerated shipping container configured to be operated according to the method of claim 1.
14. A refrigerated shipping container configured to transport respiring produce, the refrigerated shipping container including: a gas membrane separation module including: a first gas inlet open to an internal environment within the refrigerated shipping container configured to draw a first air stream from the internal environment; a second gas inlet open to an ambient environment external to the refrigerated shipping container and configured to draw a second air stream from the ambient environment; a membrane unit including: a membrane having greater relative selectivity for CO.sub.2 and O.sub.2 than N.sub.2 and configured to provide an N.sub.2-rich gas stream; an inlet to the membrane configured to receive a blended gas stream from the first gas inlet and the gas inlet; and an outlet from the membrane open to the internal environment configured to return the N.sub.2 rich gas stream to the internal environment.
15. The refrigerated shipping container of claim 14, further including: gas circulation means configured to: draw the first air stream through the first inlet, draw the second gas stream through the second inlet, contact the blended air stream with the membrane, and return the N.sub.2-rich gas stream to the internal environment.
16. The refrigerated shipping container of claim 13, wherein the refrigerated shipping container: (i) does not include a vent, or (ii) includes a vent set to a substantially closed position, or (iii) includes a vent configured to an open position such that air flow through the vent is less than that required to replace the first air stream that is withdrawn from the internal environment.
17. A gas membrane separation module, the gas membrane separation module including: a mount for installing the gas membrane separation module into or onto a refrigerated shipping container; a first gas inlet open to an internal environment within the refrigerated shipping container configured to draw a first air stream from the internal environment; a second gas inlet open to an ambient environment external to the refrigerated shipping container and configured to draw a second air stream from the ambient environment; a membrane unit including: a membrane having greater relative selectivity for CO.sub.2 and O.sub.2 than N.sub.2 and configured to provide an N.sub.2-rich gas stream; an inlet to the membrane configured to receive a blended gas stream formed from the first air stream and the second air stream; and an outlet from the membrane open to the internal environment configured to return the N.sub.2-rich gas stream to the internal environment.
18. The gas membrane separation module of claim 17, when used in a refrigerated shipping container.
19. A method including installing the gas separation module of claim 17 into or onto a refrigerated shipping container.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION OF THE EMBODIMENTS
[0077] The invention relates to a method of, and apparatus for, controlling gas composition within a refrigerated container, such as to extend the life of perishable goods during transport within the refrigerated container. hi particular, the inventors have devised a way to enhance the energy efficiency and storage capabilities of a refrigerated transport container by: blending a first air stream withdrawn from an internal environment within the refrigerated shipping container with a second air stream obtained from an ambient environment external to the shipping container to form a blended air stream, passing this blended air stream to a separation membrane having greater relative selectivity for CO.sub.2 and O.sub.2 than N.sub.2 to provide an N.sub.2-rich gas stream, and then returning N.sub.2 rich gas stream to the internal environment.
[0078] Respiring produce produces CO.sub.2 which needs to be removed from the internal environment of the refrigerated shipping container to preserve the freshness of the respiring produce. Such respiring produce typically includes fruit, vegetables, plants, seedlings, plant materials, and the like.
[0079] A refrigeration panel 100 of a reefer is illustrated in
[0080] The vent cover 104 includes gradations 110 which relate the size of the inlet and outlet openings to a corresponding fresh air exchange rate during standard operation. Larger inlet and outlet openings provide for a greater fresh air exchange rate. The fresh air exchange (and thus the size of the inlets and outlets) is dependent on the respiration rate of the respiring product. That is, respiring products that have a high respiration rate require a greater fresh air exchange rate than respiring products with a low respiration rate. At this point, it is important to note that if the reefer is intended for climate controlled operation, then the reefer is sealed by removing the rotatable vent cover 104, and installing a climate controller and valves over the vent openings to seal the vent. As a result, a sealed climate controlled reefer does not include a permanently open vent.
[0081] During the unsealed storage and/or transport of respiring produce, the respiring produce consumes oxygen and produces carbon dioxide. If the oxygen levels and carbon dioxide levels fall outside of a particular range, the quality of the respiring produce can rapidly deteriorate. To address this, and as alluded to above, the rotatable vent cover 104 is typically adjusted (by rotation) so as to provide inlet and outlet openings of a suitable size to permit an appropriate rate of gas exchange between the outside environment and the internal environment within the reefer to maintain suitable oxygen and carbon dioxide levels. The required rate of gas exchange is determined from the respiration rate of the respiring produce (being dependent on the type of respiring produce), and the appropriately sized opening in the air vent 102 is selected (e.g. by way of a lookup table) to provide the required rate of gas exchange.
[0082] The gas exchange process generally results in cool CO.sub.2-rich, O.sub.2-lean air from within the reefer being exchanged for air at ambient temperature and composition. This is advantageous in that CO.sub.2 is removed from the system. However, there are several issues associated with introducing fresh air into the system. Firstly, introducing air at ambient temperature introduces heat energy into the system, and raises the internal temperature with the reefer. Increasing the temperature has a deleterious effect on the respiring produce. Thus, the refrigeration system 108 must remove this additional energy that has been introduced into the reefer. Secondly, introducing fresh air replenishes the oxygen lost to respiration. Replenishing this lost oxygen maintains the rate of respiration and thus also contributes to the degradation of the respiring produce.
[0083] The inventors have included a membrane separation system according to aspects of the present invention into the refrigeration panel 100 of the reefer.
[0084] The system 200 also includes a sweep pump assembly 210 for providing a stream of sweep gas (ambient air) on the permeate side of the membrane 208 such that the CO.sub.2 and O.sub.2 that passes across the membrane from the retentate side of the membrane 208 to the permeate side of the membrane is entrained in the sweep gas. As part of installing the membrane separation system 200, blank panel 112 of the refrigeration panel 100 is removed and replaced with a membrane scrubber panel (see item 312 of
[0085] The membrane system 200 can be operated to reduce or completely offset the volume of gas that would otherwise need to be introduced through the vent in response to the removal of CO.sub.2 and O.sub.2 by the membrane separation system 200.
[0086] The cooled CO.sub.2-rich air within the reefer is blended with ambient air and cycled through the membrane system (such as at a pre-set rate determined based on a characteristic of the respiring produce) to remove a portion of the CO.sub.2 and O.sub.2 from the blended air. Sufficient ambient air can be added such that the portion of CO.sub.2 and O.sub.2 removed from the cooled CO.sub.2-rich air is effectively offset by additional N.sub.2 that is introduced with the blended air. In this way, the N.sub.2 rich stream is fed back into the reefer at the same flow rate as the cooled CO.sub.2-rich air stream that is withdrawn from the reefer. The result is that the internal environment within the reefer has a N.sub.2 vol % that is greater than ambient air (e.g. greater than 78 vol % on a dry air basis) and an O.sub.2 vol % that is lower than ambient air (e.g. lower than 21 vol % on a dry air basis). The reduced O.sub.2 content means that respiration is inhibited (which lowers the rate of CO.sub.2 production), and thus lowers the electrical load required by the membrane separation and refrigeration systems.
[0087] Notwithstanding the above, the amount of ambient air blended with the CO.sub.2-rich air to form the blended air stream can be controlled such that: (i) the flow rate of the N.sub.2-rich air returned to the reefer is lower than the flow rate of the cooled CO.sub.2-rich air withdrawn from the reefer, in which case some external air will leak into the reefer such as through a vent—this operating strategy may be useful if an increase in the O.sub.2 vol % is required; (ii) the flow rate of the N.sub.2-rich air returned to the reefer is the same as the flow rate of the cooled CO.sub.2-rich air withdrawn from the reefer, in which case effectively no air exchange will occur between the internal environment of the reefer and the ambient air outside the reefer—this is likely to be the most energy efficient manner of operating the reefer; or (iii) the flow rate of the N.sub.2 rich air returned to the reefer is higher than the flow rate of the cooled CO.sub.2-rich air withdrawn from the reefer, in which case internal air may leak out of the reefer such as through a vent—this will prevent outside air from leaking into the reefer.
[0088] A process flow diagram illustrating one embodiment of the membrane separation system 300 is provided in
[0089] This membrane separation system 300 is installed in a reefer as discussed in relation to
[0090] During shipping and/or storage of refrigerated respiring produce, the respiring produce consumes oxygen and produces carbon dioxide. The skilled person will appreciate that the degree of refrigeration and the rates of oxygen consumption and carbon dioxide production depend on one or more characteristics of the respiring produce. As previously discussed, to minimise degradation of the respiring produce, the oxygen and carbon dioxide concentrations should be maintained at appropriate levels. In a standard reefer, the vent cover (e.g. item 104 of
[0091] In operation, lumen pump 308 draws (i) a first air stream (e.g. cooled CO.sub.2-rich, O.sub.2-lean gas) from the internal environment of a reefer, and (ii) a second air stream from ambient air from outside the reefer. The first air stream and second air stream are blended to form a blended stream. The first air stream and second air stream may be blended in a number of different ways.
[0092] The lumen pump 308 pushes this blended gas stream, under positive pressure, through the hollow fibre membrane filtration unit 301 via lumen inlet 304. Inside the membrane scrubbing unit 302, the blended gas is forced through lumens of a hollow fibre membrane separation unit. The membrane lumens are formed from a membrane material having greater relative selectivity for CO.sub.2 and O.sub.2 than N.sub.2, which results in the selective transfer of CO.sub.2 and O.sub.2 across the lumen wall from a retentate side of the lumen to a permeate side of the lumen. This results in a N.sub.2-rich gas stream (typically lean in CO.sub.2 and O.sub.2) on the retentate side of the lumen. The N.sub.2-rich gas is then returned to the internal environment of the reefer via lumen outlet 306. In this embodiment, the downstream ends of the lumens are exposed directly to the lumen outlet 306 (e.g. there is no pump on the downstream side to draw the cooled air through the membrane system 300). Notwithstanding the above, the skilled addressee will appreciate that the membrane system may include an additional pump downstream of the lumen outlet 306 for drawing gas through the hollow fibre membrane filtration unit 301. In another form, the membrane separation system 300 does not include a lumen pump upstream of the lumen inlet 304, and instead includes a lumen pump downstream of the lumen outlet 306 to draw the blended gas through the hollow fibre membrane filtration unit 301 under negative pressure.
[0093] The sweep gas assembly provides a sweep gas (e.g. ambient air drawn from outside of the reefer) to the permeate side of the hollow fibre membrane filtration unit 301. During operation, sweep gas pump 310 applies a negative pressure to the sweep gas assembly to draw ambient air from outside the reefer via inlet port 314 and into the hollow fibre membrane filtration unit 301 via sweep gas inlet 318. The sweep gas is drawn through the sweep gas inlet 318 and along the permeate side of the membrane lumens to entrain and selectively remove CO.sub.2 and O.sub.2 that has filtered across the membrane lumens from the blended gas on the retentate side of the lumen resulting in a CO.sub.2- and O.sub.2-rich sweep gas. The CO.sub.2- and O.sub.2-rich sweep gas is then drawn through sweep gas outlet 320, through sweep gas pump 310, and then discharged under positive pressure through exhaust port 316 to an environment outside the reefer.
[0094] It will be appreciated that a variety of different membranes may be used in the membrane gas scrubber. In some embodiments, the membrane comprises a material selected from one or more of the group consisting of polydimethylsiloxane (PDMS), cellulose acetate, polyethersulfone, poly(benzoxazole-co-imide), poly(phthalazinone ether sulfone ketone) (PPESK), a polyimide (eg matrimid, 6FDA-p-PDA, etc.), polyetheretherketone (PEEK) and polysolfone.
[0095] The thickness of the membrane layer will vary depending at least in part on the membrane material selected. In some embodiments, the minimum thickness of the membrane may be at least about 0.01 μm, 0.05 μm or about 0.1 μm. The maximum thickness of the membrane may be not more than about 70 μm, 50 μm or 35 μm. The membrane thickness may be from any of these minimum values to any of these maximum values, for example, from about 0.01 μm to about 70 μm or about 0.1 to about 35 μm.
[0096] The total surface area of the membrane will also vary depending on the material selected, its thickness and the rate of CO.sub.2 removal required. In some embodiments, the minimum total surface area of the membrane may be at least about 0.01 m.sup.2 or about 0.02 m.sup.2. The maximum total surface area of the membrane may be not more than about 100 m.sup.2, 50 m.sup.2, 20 m.sup.2, 15 m.sup.2 or 11 m.sup.2. Membranes with larger total surface area may not be suitable due to space constraints imposed by the container. The total surface area of the membrane may be from any of these minimum values to any of these maximum values, for example, from about 0.01 m.sup.2 to about 100 m.sup.2 or about 0.02 m.sup.2 to about 15 m.sup.2.
[0097] Membranes contemplated include an overall permeability for CO.sub.2 of about 3000 Barrer. These membranes may have a thickness of about 35 μm to 45 μm. Preferred membranes have about 3100 Barrers of permeability for CO.sub.2 and may be about 40 μm in thickness. This is a very high permeability. However, other membrane materials are contemplated to be useful. One type of suitable membrane for use with preferred embodiments of the present invention is manufactured from Polydimethylsiloxane (PDMS), which has moderate selectivity to CO.sub.2, at about between 4 and 5, and a CO.sub.2/N.sub.2 selectivity of between about 10 and 11. Other membranes, including non-silicon membranes, may also be used. In other embodiments, the invention uses cellulose acetate as the membrane material, which has an overall permeability for CO.sub.2 of 6.3 Barrer. This is a large difference, but gas transfer can be improved by altering the thickness of the membrane or by increasing the total surface area of the membrane.
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[0099] When Qa=0, the membrane transflow will result in a decrease of container pressure, leading to makeup air flowing into the container from the ambient atmosphere (e.g. through a vent). Increasing Qa (e.g. Qa>0) to the module lumen flow (e.g. providing a blended flow) alters the overall effective flow from the container to ambient atmosphere, and thus reduces the makeup flow required through the vent to stabilize the container pressure. Also, as discussed previously, adding Qa means that Qr will be nitrogen enriched relative to ambient atmosphere due to the higher permeability of the membrane for CO.sub.2 and O.sub.2 relative to N.sub.2.
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[0104] It will be understood that the invention disclosed and defined in this specification extends to all alternative combinations of two or more of the individual features mentioned or evident from the text or drawings. All of these different combinations constitute various alternative aspects of the invention.
EXAMPLES
[0105] The below examples report steady state modeling results with the container under different pressure conditions, and with the desired oxygen concentration within the container set to 5 vol %.
[0106] The model is designed to simulate the operation of a shipping container transporting respiring produce, and calculate the equilibrium conditions for gas concentrations and container pressure given user specified inputs.
[0107] The overall method is to perform a total mass flow balance of all component gasses of the system being simulated to within a user specified tolerance (typically less than 1 μL/min imbalance).
[0108] The inputs into the model include elements relating to the shipping container, produce, and the gas exchange equipment. While most of these inputs will be known the skilled addressee, e.g. temperatures, pressures, produce respiration rates, valve and flow settings etc., the following information is provided below regarding modeling the following forms of leakage: (i) hydrodynamic leakage, (ii) diffusion leakage, and (iii) pumped leakage.
[0109] (i) Hydrodynamic leakage is the leakage measured in a standard leak test for an unpowered container. The hydrodynamic leakage represents the sum of all leaks in all areas of the container under a specific static pressure elevation. In operation the container evaporator fans produce a region of low pressure (upstream of the fans) and high pressure (downstream of the fans), while the pressure in the container near the doors is considered to be unchanged. For this reason, the simulation considers the container as three zones, where the leakage is calculated by the pressure difference between each zone and the external ambient pressure. The division is achieved by a weighting assigned to each zone.
[0110] (ii) Diffusion leakage is the leakage due to gas partial pressure differences. This is assumed to operate over the entire surface of the shipping container, and is determined by Fick's law.
[0111] (iii) Pumped leakage simulates the effect of a constant flow rate being pumped into or out of the shipping container.
[0112] Examples 1 to 3 report results with the refrigerated container running under negative pressure relative to the ambient environment with differential pressures of −70.5 Pa, −587 Pa, and −48.4 Pa corresponding to respiration rates of 6, 8, and 10 SLPM respectively. In each of these case there is an inflow to the container from the external environment through leakage, e.g. via the vents.
[0113] Examples 4 to 6 report results with the container running under positive pressure relative to the ambient environment with differential pressures of 26.5 Pa, 18.1 Pa, and 13.1 Pa corresponding to respiration rates of 6, 8, and 10 SLPM respectively. In each of these case there is an outflow from the container from the internal environment through leakage, e.g. via the vents.
[0114] Note: All flows reported in Examples 1 to 6 are in the sense of into the shipping container (negative flows are outflows).
Example 1
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TABLE-US-00001 TABLE 1 Modelling conditions Af 103446.362897 [cm2] ValveDC 0.078038 [fraction] Pc 101254.5 [Pa] dPc −70.5 [Pa]
[0116] Note: In the table above: Af is the calculated area of the gas exchange module; ValveDC is the air exchange valve duty cycle at equilibrium; Pc is the pressure within the container at equilibrium, and dPc is the differential pressure between the container and atmosphere.
TABLE-US-00002 TABLE 2 Steady state results O.sub.2 N.sub.2 CO.sub.2 Total fc: 0.05 0.88115 0.06885 Qr: −2 0 2 0 Qv1: 1.57302 5.953392 0 7.526412 Qv2: −0.225962 −3.982127 −0.311149 −4.519238 Qe: −0.540038 −5.569547 −1.597626 −7.707211 Qll: 0.768077 2.906932 0 3.675009 Qlh: −0.066250 −1.167516 −0.091225 −1.324991 Qlz: 0.491154 1.858865 0 2.350018 Qt: 0.000001 −0.000001 0
[0117] Note: In the table above: fc is the steady state gas composition within the container; Qr is the respiration flows; Qv1 and Qv2 are the flow rates through inlet and outlet valves on the vent; Qe is the gas exchanger scrubber flows; Qll, Qlh, and Qlz are estimates of low pressure leakage, high pressure leakage, and zero pressure leakage flows from zones within the refrigerated container; and Qt is the total flow. Flow values in SLPM.
Example 2
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TABLE-US-00003 TABLE 3 Modelling conditions Af 103446.362897 [cm2] ValveDC 0.128744 [fraction] Pc 101266.3 [Pa] dPc −58.7 [Pa]
[0119] Note: In the table above: Af is the calculated area of the gas exchange module; ValveDC is the air exchange valve duty cycle at equilibrium; Pc is the pressure within the container at equilibrium, and dPc is the differential pressure between the container and atmosphere.
TABLE-US-00004 TABLE 4 Steady state results O.sub.2 N.sub.2 CO.sub.2 Total fc: 0.05 0.873701 0.076233 Qr: −2.66667 0 2.666667 0 Qv1: 2.525018 9.556409 0 12.08143 Qv2: −0.39939 −6.97898 −0.60947 −7.98784 Qe: −0.51933 −5.54961 −1.94116 −8.01011 Qll: 0.727138 2.751991 0 3.479129 Qlh: −0.07604 −1.32879 −0.11604 −1.52087 Qlz: 0.409276 1.548982 0 1.958258 Qt: 0.000001 0 −0.000001
[0120] Note: In the table above: fc is the steady state gas composition within the container; Qr is the respiration flows; Qv1 and Qv2 are the flow rates through inlet and outlet valves on the vent; Qe is the gas exchanger scrubber flows; Qll, Qlh, and Qlz are estimates of low pressure leakage, high pressure leakage, and zero pressure leakage flows from zones within the refrigerated container; and Qt is the total flow. Flow values in SLPM.
Example 3
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TABLE-US-00005 TABLE 5 Modelling conditions Af 103446.362897 [cm2] ValveDC 0.192444 [fraction] Pc 101276.6 [Pa] dPc −48.4 [Pa]
[0122] Note: In the table above: Af is the calculated area of the gas exchange module; ValveDC is the air exchange valve duty cycle at equilibrium; Pc is the pressure within the container at equilibrium, and dPc is the differential pressure between the container and atmosphere.
TABLE-US-00006 TABLE 6 Steady state results O.sub.2 N.sub.2 CO.sub.2 Total fc: 0.05 0.863392 0.086608 Qr: −3.33333 0 3.333333 0 Qv1: 3.679147 13.92443 0 17.60357 Qv2: −0.63009 −10.8803 −1.09142 −12.6018 Qe: −0.6588 −5.47126 −2.09519 −8.22524 Qll: 0.690926 2.614939 0 3.305865 Qlh: −0.08471 −1.4627 −0.14673 −1.69414 Qlz: 0.336852 1.274879 0 1.61173 Qt: −1E−06 0.000001 0
[0123] Note: In the table above: fc is the steady state gas composition within the container; Qr is the respiration flows; Qv1 and Qv2 are the flow rates through inlet and outlet valves on the vent; Qe is the gas exchanger scrubber flows; Qll, Qlh, and Qlz are estimates of low pressure leakage, high pressure leakage, and zero pressure leakage flows from zones within the refrigerated container; and Qt is the total flow. Flow values in SLPM.
Example 4
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TABLE-US-00007 TABLE 7 Modelling conditions Af 103446.362897 [cm2] ValveDC 0.036992 [.] Pc 101351.5 [Pa] dPc 26.5 [Pa]
[0125] Note: In the table above: Af is the calculated area of the gas exchange module; ValveDC is the air exchange valve duty cycle at equilibrium; Pc is the pressure within the container at equilibrium, and dPc is the differential pressure between the container and atmosphere.
TABLE-US-00008 TABLE 8 Steady state results O.sub.2 N.sub.2 CO.sub.2 Total fc: 0.05 0.877812 0.072188 Qr: −2 0 2 0 Qv1: 0.558064 2.112097 0 2.670161 Qv2: −0.1596 −2.80193 −0.23042 −3.19195 Qe: 1.362551 2.418939 −1.49349 2.288005 Qll: 0.430215 1.628231 0 2.058446 Qlh: −0.14708 −2.58213 −0.21234 −2.94155 Qlz: −0.04416 −0.7752 −0.06375 −0.88311 Qt: −0.000001 0 0.000001
[0126] Note: In the table above: fc is the steady state gas composition within the container; Qr is the respiration flows; Qv1 and Qv2 are the flow rates through inlet and outlet valves on the vent; Qe is the gas exchanger scrubber flows; Qll, Qlh, and Qlz are estimates of low pressure leakage, high pressure leakage, and zero pressure leakage flows from zones within the refrigerated container; and Qt is the total flow. Flow values in SLPM.
Example 5
[0127]
TABLE-US-00009 TABLE 9 Modelling conditions Af 103446.362897 [cm2] ValveDC 0.087553 [fraction] Pc 101343.1 [Pa] dPc 18.1 [Pa]
[0128] Note: In the table above: Af is the calculated area of the gas exchange module; ValveDC is the air exchange valve duty cycle at equilibrium; Pc is the pressure within the container at equilibrium, and dPc is the differential pressure between the container and atmosphere.
TABLE-US-00010 TABLE 10 Steady state results O.sub.2 N.sub.2 CO.sub.2 Total fc: 0.05 0.866307 0.083693 Qr: −2.666667 0 2.666667 0 Qv1: 1.364879 5.165641 0 6.53052 Qv2: −0.368658 −6.387419 −0.61709 −7.37316 Qe: 1.381335 2.433526 −1.76454 2.050319 Qll: 0.459399 1.738682 0 2.198081 Qlh: −0.140096 −2.427321 −0.2345 −2.80192 Qlz: −0.030192 −0.523109 −0.05054 −0.60384 Qt: 0 −0.000001 0.000001
[0129] Note: In the table above: fc is the steady state gas composition within the container; Qr is the respiration flows; Qv1 and Qv2 are the flow rates through inlet and outlet valves on the vent; Qe is the gas exchanger scrubber flows; Qll, Qlh, and Qlz are estimates of low pressure leakage, high pressure leakage, and zero pressure leakage flows from zones within the refrigerated container; and Qt is the total flow. Flow values in SLPM.
Example 6
[0130]
TABLE-US-00011 TABLE 11 Modelling conditions Af 103446.362897 [cm2] ValveDC 0.138788 [fraction] Pc 101338.1 [Pa] dPc 13.1 [Pa]
[0131] Note: In the table above: Af is the calculated area of the gas exchange module; ValveDC is the air exchange valve duty cycle at equilibrium; Pc is the pressure within the container at equilibrium, and dPc is the differential pressure between the container and atmosphere.
TABLE-US-00012 TABLE 12 Steady state results O.sub.2 N.sub.2 CO.sub.2 Total fc: 0.05 0.859337 0.090662 Qr: −3.333333 0 3.333333 0 Qv1: 2.204618 8.343792 0 10.54841 Qv2: −0.575548 −9.891789 −1.04361 −11.5109 Qe: 1.384939 2.452461 −2.00384 1.833559 Qll: 0.476989 1.805255 0 2.282245 Qlh: −0.135888 −2.335469 −0.2464 −2.71776 Qlz: −0.021776 −0.374251 −0.03948 −0.43551 Qt: 0.000001 −0.000001
[0132] Note: In the table above: fc is the steady state gas composition within the container; Qr is the respiration flows; Qv1 and Qv2 are the flow rates through inlet and outlet valves on the vent; Qe is the gas exchanger scrubber flows; Qll, Qlh, and Qlz are estimates of low pressure leakage, high pressure leakage, and zero pressure leakage flows from zones within the refrigerated container; and Qt is the total flow. Flow values in SLPM.