U.S. patent application number 12/584969 was filed with the patent office on 2010-03-18 for re-usable radiative thermal insulation.
Invention is credited to David C. Jablonski, Robert J. Kopf, Robert O. Miller, David V. Tsu, Leticia C. Tsu.
Application Number | 20100064614 12/584969 |
Document ID | / |
Family ID | 42005984 |
Filed Date | 2010-03-18 |
United States Patent
Application |
20100064614 |
Kind Code |
A1 |
Tsu; David V. ; et
al. |
March 18, 2010 |
Re-usable radiative thermal insulation
Abstract
Commercial metalized plastic film, in the form of discarded
containers or container stock, is collected, cleaned, shredded and
packaged, to produce an insulating layer having a high thermal
resistance, or R-value, no outgassing of volatile compounds at
habitable temperatures, and multiple reusability after deployment.
Each step in the sequence is designed to minimize unit cost of the
process, as well as maximize the thermal resistance of the finished
product. The invention largely avoids disintegration of the
recycled material, and hence utilizes the embedded energy already
present in the construction of the original film.
Inventors: |
Tsu; David V.; (Auburn
Hills, MI) ; Tsu; Leticia C.; (Auburn Hills, MI)
; Kopf; Robert J.; (Royal Oak, MI) ; Jablonski;
David C.; (Waterford, MI) ; Miller; Robert O.;
(Rochester, MI) |
Correspondence
Address: |
Kevin L. Bray;Ming Scientific, LLC
2142 Pontiac Road #104
Auburn Hills
MI
48326
US
|
Family ID: |
42005984 |
Appl. No.: |
12/584969 |
Filed: |
September 15, 2009 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
|
|
61192067 |
Sep 15, 2008 |
|
|
|
Current U.S.
Class: |
52/404.1 ;
52/741.4 |
Current CPC
Class: |
E04B 1/7604 20130101;
E04B 2001/7691 20130101; E04B 1/7654 20130101; Y02A 30/244
20180101; Y02A 30/248 20180101; E04B 2001/746 20130101 |
Class at
Publication: |
52/404.1 ;
52/741.4 |
International
Class: |
E04B 1/78 20060101
E04B001/78 |
Claims
1. A method for providing thermal insulation comprising: obtaining
metalized plastic film; shredding said metalized plastic film;
disposing said shredded metalized plastic film between a first
surface and a second surface.
2. The method of claim 1, wherein said first surface and said
second surface form a portion of a boundary, said boundary
enclosing or partially enclosing a volume space.
3. The method of claim 2, wherein said volume space is a building
or a room within said building.
4. The method of claim 2, wherein said volume space is a portable
living space.
5. The method of claim 2, wherein said volume space is a
vehicle.
6. The method of claim 2, wherein said volume space is a
container.
7. The method of claim 1, wherein said metalized plastic film is a
waste product.
8. The method of claim 7, wherein said metalized plastic film waste
is a discarded package of a perishable commercial product.
9. The method of claim 7, wherein said metalized plastic film waste
is the cut-off waste or scrap waste incurred in the manufacture of
metalized plastic film and packages for perishable or
light-sensitive products.
10. The method of claim 7, wherein said metalized plastic film
waste is cleaned before said shredding.
11. The method of claim 7, wherein said obtaining includes
collecting said metalized plastic film waste from a recycler.
12. The method of claim 7, wherein said obtaining includes
collecting unused waste and scrap from package manufacturers.
13. The method of claim 1, wherein said metalized plastic film is
shredded into strips having widths of between 1 millimeter and 1
centimeter and having random lengths.
14. The method of claim 1, wherein said metalized plastic film is
shredded into strips having selected widths and selected lengths
according to predetermined mathematical distribution formulae.
15. The method of claim 1, wherein said metalized plastic film is
aluminized plastic film waste.
16. The method of claim 1, wherein the space between said first
surface and said second surface is substantially filled with said
metalized plastic film.
17. The method of claim 1, further comprising adjusting the amount
of said metalized plastic film disposed between said first surface
and said second surface to achieve a predetermined thermal
resistance.
18. The method of claim 1, wherein said disposing includes placing
said shredded metalized plastic film in a pouch and disposing said
pouch between said first surface and said second surface.
19. A thermal barrier, comprising: a first surface layer and a
second surface layer, with a hollow space in between; and an
insulating material disposed within said hollow space, wherein said
insulating material comprises shreds of metalized plastic film.
20. The thermal barrier of claim 19, wherein said thermal barrier
is a wall.
Description
RELATED APPLICATION INFORMATION
[0001] This application claims priority from U.S. Provisional
Patent Application Ser. No. 61/192,067, entitled "Re-usable
radiative thermal insulation" and filed on Sep. 15, 2008, the
disclosure of which is incorporated by reference in its entirety
herein.
FIELD OF INVENTION
[0002] This invention relates to a thermal insulation for
inhibiting heat losses from interior spaces. More particularly,
this invention relates to collection, transformation, repackaging
and deployment of a type of waste material to perform as a
thermally insulating layer for an interior space. Most
particularly, this invention relates to a collection, cleaning and
shredding of metallized plastic films, and then repackaging and
deploying the shredded product as an insulating layer for interior
spaces.
BACKGROUND OF THE INVENTION
[0003] The U.S. Deptartment of Energy (DOE) recommends certain
insulation performance for attics, walls, floors, etc. For the
northern U.S. climates, for example, it recommends R-49 in the
attic, and R-18 in the walls (where R-value represents thermal
resistivity, which is the ratio of temperature gradient to heat
flux, and is presented herein with units of .degree.
F..times.ft.sup.2.times.hrs/(Btu.times.in). Thicker layers of
conventional fiberglass batting (or using a blown-in version),
totaling about 16 inches, can achieve the R-49 performance level.
Above the ceiling rafters, there is usually no obstacle in
achieving the attic targets. Walls present a far greater challenge;
since both fiberglass and cellulose insulations have R-values of
about 3 per inch, achieving R-18 requires wall cavities of about 6
inches in depth. Although the use of 2.times.6 framing, which has a
51/2 inch cavity depth, can approach this standard, replacement of
the conventional 2.times.4 framing presents a prohibitively steep
increase in construction cost, which discourages codification of
this DOE guideline.
[0004] Today, R-18 is achievable in a 31/2 inch wall cavity with
rigid or spray-in foam insulation products, which have R-values of
nearly 6 per inch. However, there are at least three significant
difficulties with this solution: (1) rigid foam board costs nearly
4 times as much per R-value as, for example, fiberglass batting,
and spray-in foam is even more expensive; (2) the health
consequence of slow volatile outgassing is a persistent concern of
consumers, and contributes to slow acceptance of this technology;
and (3) from a long term EPA perspective, foam products have poor
recycling performance.
[0005] Cellulose insulation is a present-day example of insulating
material derived from recycled products. A significant drawback is
that cellulose is a biological food source, so it must be treated
with insecticides and/or anti-fungal agents before being used.
Whether or not these agents are a potential health hazard, they
cannot avert biodegradation indefinitely, and are of more limited
usefulness in humid climates. Despite the ecomomic advantages that
cellulose enjoys over other products with respect to the enormous
available volume of paper to be recycled, and the small amount of
additional energy needed compared to that of fiberglass, the fact
that fiberglass still maintains at least a 5 to 1 market advantage
underscores the disadvantages of cellulose.
[0006] Metallized polyester film, primarily polyethylene
terephthalate (PET) coated with aluminum, is widely used in the
food industry for containers such as snack food bags. Freshness is
preserved by taking advantage of aluminum's excellent diffusion
resistance to oxygen and moisture. For example, Doritos Tortilla
Chips by the Frito-Lay company alone account for more than 5
million bags sold each day in the United States. Considering the
other products (potato chips, cookies, etc.), and other companies
that currently utilize aluminized packaging, 20 billion bags per
year is a conservative present-day estimate, and most of the used
packages end up in landfills. Decomposition of plastics in this low
oxygen and light-free environment has been estimated to be in
excess of a million years.
[0007] Aluminized PET (Al-PET) and other metallized polyesters
(e.g., aluminized Mylar) are also used in packaging by various
other industries. Further, when one considers costs of the raw
materials and film deposition processes used in manufacture, these
containers add a significant cost in embedded energy to products,
making the re-use of discarded bags with minimal added processing
cost particularly attractive economically. The uncoated PET used
for beverage containers is already being recycled to be used, for
example, as plastic textile fibers. The feasibility of doing this
owes partially to the identifiability of the waste items and their
relative bulkiness per unit; on the other hand, absence of a metal
co-laminate simplifies the process as well. The need to remove
aluminum for re-use would add further cost for the Al-PET. Clearly
there is need and incentive to find ways to reuse this valuable
waste as is, in an environmentally sound fashion.
SUMMARY OF THE INVENTION
[0008] The present invention introduces a new approach to thermal
insulation that is aptly labeled re-usable radiative insulation.
Its insulative capability is superior to that of fiberglass and
cellulose, and rivals that of high-end foam products. Moreover, the
environmental impact of the present invention compares very
favorably to any of the known alternatives; not only does the
product of the invention use recycled material, but as a
consequence of its biological inertness, the product has a long
useful lifespan, presents no known health risks and is itself
further recyclable.
[0009] In the present invention, discarded aluminized plastic bags
are collected, batch-cleaned, batch-shredded, and disposed into the
hollow cavities of building walls to provide thermal resistance.
The reflective behavior of aluminized plastic film enables medium-
to high-performance insulation layers to be produced to meet
current and future needs. It is dust-free after shredding, and
produces no significant outgassing over temperature ranges
hospitable to life.
[0010] In another embodiment, specific volumes of the shreds are
repackaged into sealed containers in the shape of substantially
flat pouches, to be disposed into walls in a manner similar to
fiberglass batting.
[0011] In another embodiment of the invention, the shreds,
including containers which may package them, are recovered and
repeatably used, without further processing other than possibly
cleaning. Thus there is no intrinsic waste disposal issue with the
product of the present invention; the property of aluminized
plastic film that resists biodegradation, and which leads to such
problems in the landfill arena, becomes an important asset in its
use according to the present invention.
[0012] In another embodiment of the present invention, the geometry
of the shreds is tailored to maximize thermal insulative
capability. Shred shape (width, length, and edge patterning) and
shred thickness affect the scattering properties of the IR light
energy. Thickness of the plastic also determines stiffness
(springiness), and so influences the free (unloaded) packing
density of shreds.
[0013] In another embodiment of the present invention, the low
specific weight and inherent springiness of the shreds results in a
low free packing density, after which to which pressure is applied
to the free-packed mass to achieve a greater packing density.
[0014] In another embodiment of the present invention, the
geometry, packing density, and deployed layer thickness of the
shreds is adjusted to be impermeable sub-terahertz radiation,
including that of cellular phone signals and EMP (electromagnetic
pulse), which is useful for building information security.
[0015] Another aspect of the invention is a high volume, batch
cleaning process, using a mild detergent, to prepare collected
waste material for shredding.
[0016] In another embodiment of the present invention, the
thickness and packing density of the shreds are such that the layer
impermeable to sub-terahertz radiation, especially cellular phone
signals and electromagnetic pulse, which is useful for building
information security.
[0017] Another aspect of the present invention is a supply chain
for collection of aluminized plastic film to be processed,
including: (1) the enlistment and adaptation of existing community,
school and waste management industry recycling efforts (which
already participate in cellulose collection); (2) the procurement
of the unused part of factory production runs, such as cut-off
waste and scrap; (3) production of aluminized plastic film directly
for insulation purposes, to augment the supply from waste
materials; (4) the engagement of manufacturers of products packaged
in aluminized plastic, as a part of their "total supply chain"
business models.
BRIEF DESCRIPTION OF THE DRAWINGS
[0018] FIG. 1 is a set of schematic illustrations to enable
visualization of the quantitative working model that explains how
the present invention works. FIG. 1A illustrates the model
geometry. FIG. 1B is a diagram for development of a multiple
reflection formula.
[0019] FIG. 2 is a cutaway drawing showing a section of an
exemplary studded building wall, before and after deployment of the
present invention, illustrating how shredded aluminized plastic
film may be deposed into the wall's cavity spaces to fill them with
an insulating layer.
[0020] FIG. 3 illustrates another embodiment of the present
invention using containing pouches for the metalized plastic film
shreds. FIG. 3A shows a section of an exemplary shred-filled pouch
designed to fit the cavities of an exemplary studded building wall.
FIG. 3B shows the insertion of said exemplary pouch into said
exemplary wall.
DETAILED DESCRIPTION OF THE ILLUSTRATED EMBODIMENTS
[0021] Although this invention will be described in terms of
certain preferred embodiments, other embodiments that are apparent
to those of ordinary skill in the art, including embodiments that
do not provide all of the benefits and features set forth herein,
are also within the scope of this invention. Accordingly, the scope
of the invention is defined only by reference to the appended
claims.
[0022] This invention provides thermally insulative layers for use
in buildings and other applications where it is desirable to
prevent the transmission of heat into or out of an interior space.
An important aspect of the instant layers is that they have higher
R-value than other commercial insulating layers of comparable cost,
and may have R-value equal to, or greater than, commercial
insulators of much greater cost.
[0023] A second important aspect of the instant layers is that they
may be produced from certain common waste materials that lack
biodegradability, and that have no other known intrinsic re-use
value beyond their proximate purpose. Furthermore, the energy
embedded in the original production of the waste materials used in
the present invention is largely preserved in the instant layers. A
third important aspect of the instant layers is that they do not
present environmental burdens or hazards in the present
invention.
[0024] Although cellulose insulation is produced from recycled
paper products, its biodegradability and moisture affinity requires
special treatment before deployment, limits its lifetime and
climate compatibility, and precludes its further re-use. It also
has a lower R-value than the instant layers. Foam insulation
layers, either prefabricated or formed in situ (by spraying) may
have higher R-values than the instant layers, but are more
expensive, produce volatile outgassed contaminants while in
service, cannot be subsequently re-used, and present a waste
disposal problem at the end of their service life. Fiberglass wool
is less expensive than foam, but has a similar end-of-life disposal
problem; it also has a lower R-value than the instant layers. The
generally superior performance of the instant layers is founded on
the principles that we now describe.
Working Principle of Reusable Shredded Insulation
[0025] The key to efficient insulation is the management of thermal
infrared radiation in a non-equilibrium manner. There are three
mechanisms of thermal energy transport: conduction, convection and
radiation. Contrary to conventional assumptions, conduction and
convection are not dominant in insulating layers; the notion that
the role of insulation is primarily to "trap small pockets of warm
air" is a popular misconception. In reality, radiation dominates,
whereby it is the role of insulation to trap and scatter infrared
(IR) photons specifically.
[0026] The presence of greenhouse gases (GHG) in the atmosphere
provides an illustrative example. Any sunlight that impinges on the
earth that is not directly reflected is absorbed by it, and its
energy converted into heat. This heat re-radiates back away from
the earth, nominally propagating out into space, and cooling the
earth while doing so. Passing through a less transparent
atmosphere, however, the IR photons are intercepted by GHG's such
as CO.sub.2, CH.sub.4, etc. The vibrational modes of these
molecules, particularly their bending modes, coincide with the
thermal blackbody energy which they absorb, and then reradiate. The
reradiation of the thermal energy is in all directions, instead of
exclusively outward. Thus part of this energy is re-directed back
towards earth, causing earth to be warmer than if the thermal
energy had been unimpeded.
[0027] Importantly, the GHG reradiation process does not occur in a
thermal equilibrium. Although the temperature of the initial
thermal radiation of the IR from the earth may have been, for
example, at room temperature (about 20.degree. C.), and the
temperature of the GHG molecules high in the atmosphere might be
quite cold, for example, -50.degree. C., and these molecules are
still quite effective in scattering. In the context of the present
invention, it is not necessary for the scattering sites (i.e.,
insulator) to come into equilibrium with the incident thermal
energy. In fact, ideally, we do not want it to reach equilibrium.
It is better to elastically scatter or reflect this energy.
[0028] One of the limitations with conventional insulation is that
it operates too close to thermal equilibrium, because its material
(e.g., glass, cellulose, foams) is quite absorptive to IR photons.
Absorption causes a small local temperature increase, and the
resulting re-radiation leads to a net transmission forward, from
the warmer side to the cooler. Each position within the insulation
acts as a new source of thermal radiation. It is far better to
reflect those IR photons by scattering back to the source without
absorption, because after an elastic scattering event, that site
will remain at its original temperature and no longer radiate a net
amount of energy outwardly.
[0029] The glass in fiberglass has a reflectance of about 15%,
averaged over the thermal band. Although not large, this is far
greater than the organic materials contained in foams and
cellulose, whose average thermal reflectances are in the
neighborhood of 5 to 8%. In fiberglass matting, 15% intrinsic
reflectance means that 85% of the incident power would have to be
either transmitted through the glass or absorbed by it. As it
happens, in this IR thermal region, most of the 85% is absorbed,
and therefore contributes to local heating. Once this local heating
occurs, it too acts as a new radiative source to further propagate
the heat energy out to the next absorption site, and so on. So
although this concatenation retards the transmission, the process
of equilibrium local heating is a fundamental shortcoming in this
sort of insulator.
[0030] By comparison, a non-equilibrium insulator should have
superior insulation performance, because new radiation sources are
not produced at each scattering site. Aluminum films in the thermal
IR region have a reflectance of over 93%, meaning that only 7% of
the energy can contribute to any local heating. In this regard, its
vastly superior reflection performance over conventional insulation
materials means that it can be effectively used as a
non-equilibrium radiative insulation product.
[0031] Multilayers of aluminized films have been used for years in
ultrahigh performance vacuum Dewars, which perform precisely
because of the high reflectivity and low absorption (and so low
emissivity) of the Al layers, while the vacuum minimizes conduction
and convection. Such a multilayer configuration, however, is
difficult to implement in a construction setting. Instead, we use
shredded reflective plastic material to back-fill the wall cavity,
as an approximation of the Dewar principle. In this case, it is
better to think of "scattering" events of thermal IR radiation from
the random shreds, rather than reflection events from uniform
films.
Quantitative Model
[0032] A simple quantitative model can be developed to describe our
non-equilibrium radiative insulation. Although we have indicated
the relative importance of radiation over thermal conduction and
convection, the latter two must be accounted for, because our
product is not in a vacuum. All three transport processes occur in
parallel (collaterally). It happens that structural details can be
assumed to allow us to (mostly) neglect the role of convection and
we can gain considerable insight by considering radiation and
thermal conduction alone through the air medium. Our goal is to be
able to mathematically describe, in a general way, a reflective
plastic that is shredded, and hence forming a disordered array of
reflectors. We start by considering two radiative and parallel
surfaces that are separated by a thermally conductive medium. We
then show how this result can be incorporated into a simple model
that takes the disordered reflective shreds into account.
[0033] Air happens to have a fairly poor thermal conductivity
(0.0256 W/m/.degree. C. at 21.degree. C., as given by the CRC
Handbook of Physics and Chemistry, CRC Press, Boca Raton, 1980). To
enable comparisons, we convert this into the English thermal system
of units used in the United States. Inverting this conductivity to
a thermal resistance, or "R-value", leads to a resistance density
or resistivity (i.e., per inch) value of 5.63.degree.
F.ft.sup.2Hr/Btu/inch. It is a rather surprising fact that this
R-value compares quite favorably with some of the best foams, which
have 5 to about 7 per inch. Since air is such a good thermal
resistor, one may wonder why we even need to displace it with other
insulation. The answer is that without solid matter present,
radiative and convective processes dominate: IR radiation
propagates directly through air, and its fluidity supports
convective currents.
[0034] The starting point in any thermal model is the power
transferred by thermal conduction,
.DELTA. P c = A .kappa. .DELTA. T .DELTA. x , ( 1 )
##EQU00001##
where A is the cross sectional area, .kappa. is the thermal
conductivity of the medium, which has a temperature difference
.DELTA.T and a distance .DELTA.x between the hot and cold ends.
This can also be expressed in terms of the thermal "resistance" to
conduction, which is defined by R.sub.c.ident..DELTA.x/.kappa.,
.DELTA. P c = A R c .DELTA. T . ( 2 ) ##EQU00002##
[0035] The power radiated by any warm body (j) is given by the
blackbody expression
P.sub.rad=A.sigma..epsilon..sub.jT.sub.j.sup.4, (3)
according to its absolute temperature T, surface area A, surface
emissivity .epsilon..sub.j, and the Stefan-Boltzmann constant
.sigma.. In order to understand how to combine the effects of
conduction and radiation, we refer to schematics of FIG. 1. In FIG.
1A, there is shown a model volume 10 that is bounded by a first
plate 11, having an area A, temperature T.sub.1 and emissivity
.epsilon..sub.1, and a second plate 12, having the same area A, but
a different temperature T.sub.2 and emissivity .epsilon..sub.2.
Plates 11 and 12 are separated by a distance 13 equal to
.DELTA.x.
[0036] For conduction, the plate separation 13 is an important
parameter, but it is immaterial to radiation, in the limit of
infinite plane boundaries. The plates emit blackbody energy by
virtue of having temperatures above absolute zero. Thus for
radiation, we consider each plate to be a source, where plate 11
emits the rightward beam 14, having an intensity value of I.sub.01,
and plate 12 emits the leftward beam 15, having an intensity value
of I.sub.02.
[0037] In FIG. 1B, we show diagrammatically from a side view how
the energy that is first emitted from plate 11 makes multiple
reflections 16 at plate 12, and re-reflections 17 at plate 11.
Reflections 16 and 17 have reflectance values R.sub.1 and R.sub.2,
respectively. Each interaction with plate 12 also results in
partial transmission 18 through it. Adding all of these terms
results in an infinite series to arrive at the total amount of
power flowing from plate 11 through plate 12,
T.sub.12=I.sub.01(1=R.sub.2)[1+(R.sub.1R.sub.2)+(R.sub.1R.sub.2).sup.2+
. . . ],
which converges to
T 12 = I 01 ( 1 - R 2 ) 1 - R 1 R 2 . ( 4 a ) ##EQU00003##
Similarly, the net flow of power from plate 12 through plate 11
is
T 21 = I 02 ( 1 - R 1 ) 1 - R 1 R 2 . ( 4 b ) ##EQU00004##
[We caution that our adoption of the standard optics notation
R.sub.1, R.sub.2, T.sub.12 for reflectance and transmittance not be
confused with the notation we use throughout for R-values and
temperatures.] We now make use of the fact that the emissivity and
reflectance are related (by definition) according to
R.sub.j=1-.epsilon..sub.j. (5)
Since the incident intensities (I.sub.0j) are given by Eqn. (3),
Eqns. (4) and (5) can be combined to give the total net flow of
energy to the right as .DELTA.P.sub.12=T.sub.12-T.sub.21, or
.DELTA. P 12 = A .sigma. ( T 1 4 - T 2 4 ) ( 1 1 + 1 2 - 1 ) = A
.sigma. ( T 1 4 - T 2 4 ) 1 12 , ( 6 ) ##EQU00005##
in terms of the temperatures (T.sub.j) of the two plates, and where
we have defined an effective inverse emissivity
<I/.epsilon..sub.12>. It should be noted that this equation
is independent of the separation between the two plates. A similar
expression is given in Solar Heating and Cooling, by J. F. Kreider
and F. Kreith (McGraw, New York, 1975), p. 17.
[0038] In order to compare with conduction processes, we would like
to use the same type of formalism for the radiation as is used in
conduction in Eqn. (1). In other words, we would like to consider
the interior space to be a "black-box" of unknown processes. For
our purpose, we suppose that the internal energy transfer mechanism
is by a conduction process (even though we know it is a radiation
process). In this way, we will be able to obtain the effective
"resistance" to radiation energy transport (R.sub.rad) and obtain
an expression similar to Eqn. (2), i.e.,
.DELTA. P rad = A R rad .DELTA. T = A R rad ( T 1 - T 2 ) . ( 7 )
##EQU00006##
It is also convenient to express (T.sub.1.sup.4-T.sub.2.sup.4) in
Eqn. (6) as
( T 1 4 - T 2 4 ) = ( T 1 - T 2 ) 4 T 1 3 ( 1 - 3 4 .DELTA. T T 1 )
( 8 ) ##EQU00007##
because we would like to eliminate the .DELTA.T term in Eqn. (7).
Therefore, since we force .DELTA.P.sub.rad=.DELTA.P.sub.12, Eqns.
(6) through (8) give us the effective R-value for radiation
resistance:
R rad = ( 1 + 2 - 1 2 .sigma. 1 2 ) 1 4 T 1 3 1 ( 1 - 3 4 .DELTA. T
T 1 ) . ( 9 ) ##EQU00008##
In Table 1, we have calculated effective radiative R-value vs.
emissivity for the two thermal surfaces 11 and 12, assuming their
temperatures are 40 C and 20 C, respectively. Values for
.epsilon..sub.2 of about 0.94 are typical of most building
materials, and .epsilon..sub.1 of 0.1 is approximately that of a
shiny Al surface. We also see that the effective R-value for
radiation is about 0.9, i.e., quite a bit lower than the 5.63 per
inch for thermal conduction through air, as noted above. In other
words, more than 6 (=5.6/0.9) times as much energy flows out from a
warm body by IR radiation than by kinetic transport through
collisions by air molecules.
[0039] Since parallel conductivities are additive, resistivities
add reciprocally, we have
1 R effective = 1 R cond + 1 R rad , ( 10 ) ##EQU00009##
so we find that the effective R-value for air is only about 0.78.
Such a low R-value agrees with our subjective experience, but we
have now shown that the major reason for this is the simultaneous
flow of substantial energy in the form of infrared radiation.
TABLE-US-00001 TABLE 1 emissivity .epsilon..sub.1 .epsilon..sub.2
R.sub.rad (ft.sup.2-.degree. F.-hr/Btu) 1.00 1.00 0.858 0.94 0.94
0.967 0.50 0.94 1.770 0.20 0.94 4.343 0.10 0.94 8.632 0.10 0.10
16.296
[0040] To check the validity of this calculation, we can derive a
result that is specified on a commercially available product. The
Dow company markets a product called Super-Tuff-R.TM., which is a
rigid polyisocyanate foam insulation board having aluminum on one
side, and whose basic R-value is 6.5/inch. Dow states that an
additional R of 2.8 can be achieved when the Al side faces a 3/4
inch non-ventilated air gap, i.e., when no physical contact is made
to the Al surface. Under this condition, the system R-value can be
9.3 for a 1 inch board with the 3/4 inch air gap. Since
R.sub.cond=R.sub.air(0.75'')=0.75.times.5.63=4.22, if we use
R.sub.rad=8.63 from Table 1 that is appropriate for Al on one side
and drywall on the other side of the air gap, Eqn. (10) predicts an
effective R-value of 2.83.
[0041] Now that we have a solid understanding of parallel radiative
plates separated by a distance .DELTA.x in a thermally conductive
medium, we will generalize in a simple way to the random shreds.
The key is that this same process should still be approximately
valid on a local level. Thus in describing the shreds, we really
only need to know the "resistance density" between two typical
scattering sites, which is commonly known as the resistivity
(.rho.), i.e.,
R.sub.j.ident..delta.x/.kappa..sub.j=.delta..times..rho..sub.j,
(11)
where for air, .rho..sub.air is 5.63 per inch (at 20.degree. C.).
Combining Eqns. (10) and (11), we obtain the effective thermal
resistivity for a random packing of reflective shreds as
.rho. effective = .rho. air R rad .delta. x .rho. air + R rad , (
12 ) ##EQU00010##
having units of [.degree. F.ft.sup.2 Hr/Btu/inch] and where we can
understand that .delta.x represents an average effective separation
between the shreds that will be governed by such things as packing
density, general shape, etc. Another way to look at it is that it
represents an effective scattering length. All of the emissive
dependencies will be contained in R.sub.rad as described by Eqn.
(9). Table 2 summarizes calculated effective thermal resistivities
for different values of surface emissivities taken from Table 1. As
expected, as the scattering length approaches zero,
.rho..sub.effective approaches .rho..sub.air.
[0042] Table 2 is a summary of our non-equilibrium model, showing
effective thermal resistivity vs. scattering length (.delta.x) for
the different surface emissivities taken from Table 1. demonstrates
that by using reflective shreds, medium to high performance
insulation is obtained, having R-values greater than 3 and less
than 5.6, where the upper limit is imposed by the thermal
resistivity of air, which is 5.63 per inch at 20.degree. C.
TABLE-US-00002 TABLE 2 .epsilon..sub.1 0.94 0.50 0.20 0.10 0.10
.epsilon..sub.2 0.94 0.94 0.94 0.94 0.10 R.sub.rad 0.967 1.770
4.343 8.632 16.296 .delta.x (in.) .rho..sub.effective (.degree. F.
in.sup.-1 ft.sup.2 Hr Btu.sup.-1), i.e., R per inch 0.000 5.63 5.63
5.63 5.63 5.63 0.063 4.13 4.70 5.21 5.41 5.51 0.125 3.26 4.03 4.85
5.21 5.40 0.250 2.29 3.14 4.25 4.84 5.19 0.500 1.44 2.17 3.42 4.25
4.80 0.750 1.05 1.66 2.86 3.78 4.47 1.000 0.83 1.35 2.45 3.41
4.19
Preferred Embodiments of the Invention
[0043] All of the preferred embodiments of the instant invention
share an important first common element of collection of raw
material according to a supply chain business model, and said model
is included as part of the claims. Aluminized plastic film for the
instant invention is supplied at least three different sources. A
first source is the waste stream of discarded packages, where it
appears in increasing amounts, and is becoming a landfill space
allocation problem, due to its slow biodegradation. To collect from
this source, enlistment of volunteer efforts are used, coupled with
two types of industrial cooperation: (1) participation by waste
collection companies in the form of classification and separation
by customers as a recyclable waste type, and (2) participation by
product suppliers who use aluminized plastic film packages, in the
form of cash incentives for the return of the emptied packages,
with the cost either absorbed as a community service or compensated
in part by the producer of the instant invention. A second source
of aluminized plastic film is scrap incurred in the processes of
manufacturing said film itself, fabrication of packages from said
film, filling said packages with salable products, or distribution
of said products. In the sequence of these activities, there is a
considerable amount of scrappage, resulting from cut-off waste,
process control, and product control, for examples. In these cases,
it is advantageous to coordinate with whole product supply chains
of vendors. A third source of aluminized plastic film is the
manufacture of the film specifically for the purpose of production
of thermal insulation layers according to the instant invention.
Although this source lacks the environmental synergy of the waste
sources, it serves to augment what could become a limited supply,
and also removes the costs of cleaning and shredding. Said
avoidance of shredding may be effected by drawing the plastic film
into narrow strips that are equivalent to shreds, and applying the
metal coatings to the strips.
[0044] In a first embodiment of the instant invention, aluminized
plastic film collected from the public waste stream is subjected to
cleaning of extrinsic material that would preclude its successful
processing or deployment according to the invention. Said cleaning
is performed in a batch process, consisting of (1) a first step of
agitation of a plurality of Al-plastic packages in a vat of water
and a mild detergent; (2) a second step of rinsing in a sequence of
tanks, said rinsing using either a cascade or a dump configuration;
and (3) a third step of drying, using forced air and tumbling
configurations, for example.
[0045] In a further embodiment of the instant invention, dry
aluminized plastic sheets and packages are cut into narrow strips
by a shredding process. Said shredding process may be effected
using a dedicated paper-shredding means, or another design. Means
may be employed to prevent buildup of softened plastic on the
cutting edges.
[0046] A particular preferred embodiment of the instant invention
is illustrated in FIG. 2, wherein the invention serves as
insulation for a studded building wall. FIG. 2A shows a cutaway of
a section 20 of a wall, with two sheets 21 separated by stud
spacers 22. Aluminized plastic film shreds 23 that may have been
collected, cleaned and shredded according to embodiments described
herein, are shown being placed into a hollow cavity space 24 formed
by the structure. FIG. 2B shows a cutaway of the same section 20 at
a later time, wherein cavity space 24 has been completely filled
with shreds 23 to a desired packing density, to form a collective
layer 26, which is also a thermally insulating layer.
[0047] Another preferred embodiment of the instant invention is
illustrated in FIG. 3, wherein the invention serves as insulation
for a studded building wall. FIG. 3A shows a pouch 36 that is
filled with a plurality of aluminized plastic shreds 33 to a
desired packing density, and then sealed. The pouch 36 has
substantially a shape that enables it, when filled, to fit into,
and substantially conformally fill, a cavity space for which it is
intended. FIG. 3B shows a cutaway of a section 30 of a wall, with
two sheets 31 separated by stud spacers 32. Pouch 36, filled with
shreds 33, is shown being inserted into the hollow cavity space 34
formed by the wall structure.
[0048] In a preferred embodiment, the pouch 36 of FIG. 3 is
constructed of metallized plastic film.
[0049] In a further preferred embodiment, the embodiments shown in
FIG. 2 and FIG. 3 are combined, so that the pouch 36 is first
inserted into cavity space 34, and then loose shreds 23 may be
added to occupy remaining unfilled regions in the cavity space
34.
[0050] In a further embodiment, loose shreds of aluminized plastic
film in FIG. 2 and FIG. 3 are blown into the hollow cavity spaces
24 and 34 in a similar fashion as is cellulose insulation or loose
fiberglass insulation.
[0051] In another preferred embodiment, at the end of the life of a
building insulated according to the instant invention, loose
aluminized plastic shreds are removed from the walls by a suitable
vacuum apparatus, and intact pouches are extracted, the recovered
shreds and packages are cleaned and repackaged, if appropriate, and
used in another building.
[0052] Those skilled in the art will appreciate that the methods
and designs described above have additional applications and that
the relevant applications are not limited to those specifically
recited above. Also, the present invention may be embodied in other
specific forms without departing from the essential characteristics
as described herein. The embodiments described above are to be
considered in all respects as illustrative only, and not
restrictive in any manner.
* * * * *