PORTABLE ELECTROMAGNETIC WAVE DRYING APPARATUS AND METHOD FOR IN-SITU DRYING OF STRUCTURAL MEMBERS IN WOOD-FRAME CONSTRUCTION
20190271505 ยท 2019-09-05
Inventors
Cpc classification
B27K2240/10
PERFORMING OPERATIONS; TRANSPORTING
F26B3/347
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F26B19/005
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F26B5/048
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F26B2210/16
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
Abstract
A portable electromagnetic wave drying apparatus is provided for the in-situ reduction of moisture in structural members within a wood frame construction. The apparatus comprises at least one electromagnetic wave generation assembly and an electromagnetic wave applicator. Also provided is an electromagnetic wave treatment method for the in-situ reduction of moisture content in a structural member within a wood frame construction. The method comprises contacting a portion of the structural member with electromagnetic waves for a period of not more than 30 minutes and then allowing the structural member to rest for a period of not more than 90 minutes. The apparatus and method are useful in the remediation of wood frame structures that have been exposed to flood waters.
Claims
1. An EMW treatment method for the In-situ reduction of moisture content in a structural member within a wood-frame construction comprising the following sequence of steps: a. Providing a structural member within a wood-frame construction b. Providing a source of electromagnetic waves c. Directing said electromagnetic waves to contact at least a portion of said structural member for a drying period of not more than 30 minutes and d. Allowing said structural member to rest for a resting period of not more than 90 minutes
2. The EMW treatment method of claim 1 wherein said electromagnetic waves are provided at a frequency of from 100 MHz to 3000 MHz.
3. The EMW treatment method of claim 1, further comprising the step of determining the post-resting period moisture content of said structural member.
4. The EMW treatment method of claim 3, wherein the steps of the method are repeated until the post-resting moisture content of said structural member is less than or equal to a maximum desired moisture content.
5. The EMW treatment method of claim 4 wherein the maximum desired moisture content is not more than 19%
6. The EMW treatment method of claim 4 wherein the maximum desired moisture content is not more than 15%
7. A portable EMW drying apparatus for the In-situ reduction of moisture content in structural members within a wood-frame construction, said portable drying apparatus comprising at least one electromagnetic wave generation assembly and an electromagnetic wave applicator.
8. The portable EMW drying apparatus of claim 7, wherein said apparatus has a total mass of less than about 45 kg.
9. The portable EMW drying apparatus of claim 7 further comprising one or more of handles, wheels, roller-bearings, supporting legs, and runners.
10. The portable EMW apparatus of claim 7 wherein said electromagnetic wave applicator has a 3-D geometry selected from cuboid, cylinder, pyramid, cone, triangular prism, arched prism, or hemisphere.
11. The portable EMW drying apparatus of claim 7 wherein said electromagnetic wave applicator is fitted with one or more rectangular contact apertures.
12. The portable EMW apparatus of claim 11 wherein said rectangular contact apertures are adjustable.
13. The portable EMW apparatus of claim 7 wherein said electromagnetic wave applicator comprises a mode stirrer
14. The portable EMW drying apparatus of claim 7 wherein said at least one electromagnetic wave generation assembly produces electromagnetic waves at a frequency of from 100 MHz to 30 GHz.
15. The portable EMW drying apparatus of claim 7 wherein said electromagnetic wave generation assembly comprises one or more of a transformer, a capacitor, a thermostat, a cooling fan, a control board, and a timing circuit.
16. The portable EMW drying apparatus of claim 7 wherein said at least one electromagnetic wave generation assembly comprises at least one Magnetron.
17. The portable EMW drying apparatus of claim 16 further comprising at least one moisture-resistant cover placed between the at least one Magnetron and the body of the electromagnetic wave applicator.
18. The portable EMW drying apparatus of claim 7 further comprising a waveguide.
19. The portable EMW drying apparatus of claim 18 wherein said waveguide has a rectangular cross section.
20. The portable EMW drying apparatus of claim 7 further comprising one or more ventilation openings, sized to prevent electromagnetic wave propagation there through.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0030]
[0031]
[0032]
[0033]
[0034]
DETAILED DESCRIPTION
[0035] It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the present teachings. All patents and patent applications cited in this application are expressly incorporated by reference in their entirety for any purpose. When definitions of terms in incorporated references appear to differ from the definitions provided in the present teachings, the definition provided in the present teachings shall control. It will be appreciated that there is an implied about prior to the temperatures, dimensions, flow rates, concentrations, times, etc. discussed in the present teachings, such that slight and insubstantial deviations are within the scope of the present teachings.
[0036] Unless otherwise defined, scientific and technical terms used in connection with the present teachings described herein shall have the meanings that are commonly understood by those of ordinary skill in the art. Further, unless otherwise required by context, singular terms shall include pluralities and plural terms shall include the singular. Generally, nomenclatures utilized in connection with, and techniques of, electromagnetic wave generation and transmission are those well known and commonly used in the art. As utilized in accordance with the embodiments provided herein, the following terms, unless otherwise indicated, shall be understood to have the following meanings:
[0037] As used herein, the term EMW means Electromagnetic Wave
[0038] The term microwave refers to electromagnetic waves with a frequency of from 100 MHZ to 3000 MHz.
[0039] The term Delivered Power refers to the power of the EMW produced by a given EMW generation assembly; this is contrasted with Supplied Power, which is the power consumed by an EMW generation assembly, including any efficiency losses.
[0040] As used herein, the use of general directions along the X, Y, and Z axes are understood to conform to a standard orthogonal coordinate system. Unless otherwise specified, the Z dimension is presumed to be oriented vertically, while the X and Y dimensions are intended to be oriented within the horizontal plane. Further, named planessuch as the X:Y plane, the X:Z plane and the Y:Z planeare understood to have their conventional meanings for the purposes of orienting surfaces and cross-sections within three-dimensional space. Finally, it should be understood that, as used herein, dimensional measurements associated with the variables X, X2, X3, Y, Y2, Y3, Z, Z2, and Z3 are intended to imply both a length and a direction within said orthogonal coordinate system.
[0041] The term 3-D geometry refers to the shape of three-dimensional objects, and the names of three-dimensional shapes are intended to have their commonly understood meanings.
[0042] The term Moisture Content as used herein refers to the moisture content of wood. Percent Moisture Content or % MC is understood to match the term of art from the Forest Products Industry and is defined as the ratio of the mass of water to the mass of dry wood in a given sample, and represented by the formula:
% MC=100(Mass of Water in Wood)/(Mass of Oven-dry Wood)[Eqn 1]
[0043] The Forest Products Industry uses the oven drying method as described in ASTM D4442-16 to measure % MC. Using this method, a wood sample is completely dried in an oven and the masses before and after drying are compared to determine how much water was removed, thereby providing the data needed to calculate % MC from the above formula (Equation 1). As a point of reference, it is noted that a typical piece of commercially-available SPF dimensional lumber, generally referred to as KD19 lumber, has been kiln-dried to an average moisture content of about 19%.
[0044] One embodiment of the invention provides a portable EMW drying apparatus for the In-situ reduction of moisture content in structural members within a wood-frame construction, said portable drying apparatus comprising at least one electromagnetic wave generation assembly and an electromagnetic wave applicator.
[0045] As used herein, the term portable refers to an apparatus capable of easy movement from one geographic location to another. As previously described, the portable EMW drying apparatus of the present invention is intended to be transported to the location of one or more stationary objects requiring treatment. In a preferred embodiment, the portable apparatus of the present invention is easily transported and positioned for use by one person. As a practical matter, this means that the apparatus must be limited in its overall dimensions so as to be easily conveyed through passageways and openings within buildings, such as for example, the interior halls and doorways of a residential structure. It is therefore preferable that at least one dimension of the portable apparatus of the present invention should be not greater than about 914 mm (36 inches). Another practical consideration facilitating portability is a limitation on the total mass of the apparatus. In one embodiment, the portable EMW drying apparatus of the present invention has a total mass of less than about 45 kg (100 lbs), preferably less than about 23 kg (50 lbs), most preferably less than about 10 kg (25 lbs). In some embodiments, the portable EMW drying apparatus may comprise one or more of handles, wheels, roller-bearings, supporting legs, and runners in order to facilitate movement and positioning of the apparatus.
[0046] In at least one embodiment, the electromagnetic wave applicator has a 3-D geometry selected from cuboid, cylinder, pyramid, cone, triangular prism, arched prism, or hemisphere. In a preferred embodiment, said electromagnetic wave applicator has a 3-D geometry selected from cuboid, pyramid, triangular prism, or arched prism.
[0047]
[0048]
[0049] Also generally shown in these figures is the electromagnetic wave generation assembly, comprising two magnetrons, 1a and 1b, as well as transformer 2, which are mounted directly on applicator 5. In at least one additional embodiment, said electromagnetic wave generation assembly may comprise one or more of a transformer, a capacitor, a thermostat, a cooling fan, a control board, and a timing circuit (not shown). Additionally, due the high-voltages utilized, it is strongly recommended that the electromagnetic wave generation assembly further comprise a protective enclosure (not shown) to prevent accidental contact with the components of the assembly. In the embodiment of
[0050] Additionally, in this embodiment, the side of the apparatus is shown to further comprise at least one perforated plate 6a. The perforated plate comprises a plurality of 1 mm diameter holes that provide ventilation for the interior of the electromagnetic wave applicator while being of sufficiently small diameter as to prevent electromagnetic wave propagation there through. Lastly, this embodiment comprises rectangular contact aperture 8, which is cut into the sides of the apparatus at the interfacial perimeter and is sized to match the cross-sectional dimensions of bottom plate 22. In some embodiments of the inventive apparatus, rectangular contact aperture 8 is formed from one or more sliding plates to provide means of adjustment to the dimensions of the aperture.
[0051] In an alternative embodiment (not shown), electromagnetic wave applicator 5 has a cross-section along the Y:Z plane that is a triangle, rather than a parabola, and a 3-D geometry that is a triangular prism.
[0052] In yet another embodiment (not shown), electromagnetic wave applicator 5 has a cross-section along the Y:Z plane that is a rectangle, rather than a parabola, and a 3-D geometry that is a cuboid (also known as a rectangular prism).
[0053]
[0054]
[0055] In at least one embodiment of the inventive portable EMW drying apparatus, an electromagnetic wave applicator of generally pyramidal shape further comprises dimensions that comply with at least one of Electronics Industry Association (EIA) standards WR340 or WR430.
[0056] In the alternative orientation of
[0057] In the embodiment of
[0058] Additionally, in this embodiment, the interior of electromagnetic wave applicator 205 further comprises at least one moisture-resistant cover 210 between the Magnetron and the body of electromagnetic wave applicator 205. The material of construction for cover 210 may comprise one or more of mica, glass, polyethylene (PE), and polypropylene (PP). The cover should not comprise polymethylmethacrylate (PMMA) nor polystyrene (PS) due to the tendency for these two plastics to breakdown when exposed to electromagnetic waves.
[0059] In a further embodiment of the apparatus represented in
[0060] In an alternative embodiment (not shown), electromagnetic wave applicator 205 has a circular cross section along the X2:Y2 plane, rather than a rectangle, and a 3-D geometry that is a cone.
[0061]
[0062] Optional vent pipe 306d, with an internal diameter of between 6 mm and 25 mm (0.25 inch and 1 inch), provides ventilation for the interior of electromagnetic wave applicator 305 while being of sufficiently small diameter as to minimize electromagnetic wave propagation there through.
[0063]
[0064] The apparatus in
[0065] In this embodiment, electromagnetic wave generation assembly 303 comprises one magnetron that produces electromagnetic waves at a frequency of 915 MHz and has an output power of 500 Watts. EMW generation assembly 303 further comprises a control board which actuates stirrer 309 when the magnetron is operating. The electromagnetic waves produced by the magnetron propagate through wave guide 304, which has a rectangular cross section, and are delivered to electromagnetic wave applicator 305. It is preferred that wave guide 304 be constructed from at least one conductive metal, such as copper, brass, steel, or aluminum. Optionally, wave guide 304 may further comprise a high-conductivity interior surface coating, such as for example a thin layer of gold.
[0066] In this embodiment, the interior of electromagnetic wave applicator 305 further comprises at least one moisture-resistant cover 310 between the Magnetron and the body of electromagnetic wave applicator 305.
[0067] In an alternative embodiment (not shown), electromagnetic wave applicator 305 has a circular cross section along the X3:Y3 plane, rather than a rectangle, and a 3-D geometry that is a cylinder.
[0068] In yet another embodiment (not shown), electromagnetic wave applicator 305 has a trapezoidal cross section along the Y3:Z3 plane, rather than a rectangle, and a 3-D geometry known as a trapezoidal prism.
[0069] In a first alternative embodiment of the inventive portable EMW drying apparatus, the previously described apparatus of
[0070] In a second alternative embodiment of the inventive portable EMW drying apparatus, the previously described apparatus of
[0071] In a third alternative embodiment of the inventive portable EMW drying apparatus, the previously described apparatus of
[0072] It is known that the distribution of moisture in wood samples is typically not homogenous, with the wood core most often being at higher moisture content than the surface. The surfaces of the wood which are in contact with the air allow moisture to escape by evaporation. Surface evaporation is a fairly rapid process that is primarily dependent on the relative humidity in the environment, and the temperature of the wood sample. The exposed surface area of the wood can also be a significant factor affecting the evaporation rate. In contrast, drying of the wood core is controlled by the concentration gradient between the core and the surface. The diffusion of moisture from the core toward the surface happens very slowly relative to surface evaporation. As a result, it is possible for direct measurements of the surface to indicate relatively dry wood, when in fact the average moisture content of the sample is significantly higher.
[0073] Although slightly less precise than the previously-described oven-drying method, % MC may be determined quickly and easily using a Pin-type moisture meteran electronic device which functions similar to an ohm meter. A moisture meter measures the conductivity between two pins on its case that are placed in contact with the wood sample andafter compensating for wood type and temperatureconverts this conductivity to a direct measurement of % MC. Inexpensive models of this type of device are capable of measurements that are accurate to within 2% for moisture content of up to 60%. Suitable pin-type moisture meters for use with the method of the present invention are commercially available from Extech Instruments of Nashua, N.H., USA and Amphenol Thermometrics Inc. of St. Mary's, Pennsylvania, USA. It should be noted, however, that because the meter is based on conductivity, the highest conductivity point that the pins come into contact with will register as the measured moisture level. This means that it is difficult to know the true moisture content of a wood sample if the pins of the meter only contact the wood surface. To address this, it is preferred to drive two screws from the surface of the sample to the mid-point (core) of the sample, and then obtain the conductivity measurement by placing the pins in contact with these screws. In this way, one can determine the highest moisture content within the cross-section of the wood sample. Given the non-homogeneous nature of wood, this ultimately means that a moisture measurement, taken via screws through the sample, will always be equal to or slightly greater than the average % MC value for the wood sample.
[0074] One embodiment of the invention provides an EMW treatment method for the In-situ reduction of moisture content in a structural member within a wood-frame construction comprising the following sequence of steps: [0075] a. Providing a structural member within a wood-frame construction [0076] b. Providing a source of electromagnetic waves [0077] c. Directing said electromagnetic waves to contact at least a portion of said structural member for a drying period of not more than 30 minutes [0078] d. Allowing said structural member to rest for a resting period of not more than 90 minutes
[0079] Specific drying periods and resting periods for use with the inventive treatment method can be determined based upon the inter-relationship of the delivered EMW power P, in Watts, and the axial length of the structural member to be treated X, in millimeters. In this way, the inventive treatment method may be applied in combination with a plurality of portable EMW drying apparatus.
[0080] In accordance with this method, the drying period D, in minutes, is defined by the relationship:
D=13.1234(X)/(P)[Eqn 2]
And the resting period R, in minutes, is defined by the relationship:
R=0.0656(X)[Eqn 3]
[0081] To further illustrate the use of Equations 2 and 3, Table 1 provides a summary of the values of D and R for several of the previously described embodiments of the inventive apparatus.
[0082] By way of clarification and not limitation, these Formulae are known through inventor's investigations to be valid for values of X from 0 to 1220 mm (from 0 to 48 inches) and for values of P from 0 to 10,000 Watts. It is anticipated that these formulae (Equations 2 and 3) are valid for still greater values of X and P, but this has not yet been verified through performance testing. Given the benefit of the present disclosure, it should be within the ability of one of ordinary skill to make small adjustments to the drying period and/or the resting period and then quickly assess the acceptability of the treatment method without deviating from the spirit of the present invention.
TABLE-US-00001 TABLE 1 X P D R Embodiment mm inches Watts mins mins First (FIGS. 1A and B) 406 16 2000 2.7 26.6 Second (FIGS. 2A and B) 130 5 1000 1.7 8.5 Third (FIG. 3) 305 12 500 8.0 20.0 First Alternative 610 24 500 16.0 40.0 Second Alternative 1000 39 500 26.2 65.6 Third Alternative 1220 48 10000 1.6 80.0
[0083] Table 2 summarizes drying experiments performed in accordance with the inventive treatment method. Six-inch long (150 mm) samples of KD19 Douglas Fir 24 dimensional lumber were soaked in potable water for 24 hours until they obtained an average moisture content of about 25%. An Extech model M0230 pin moisture meter was used to determine % MC of the wood surface and core (using the above-described screw measurement methodology). The 24 samples were treated in a Sanyo model # EM-P540W microwave oven over three consecutive cycles as described in Table 2. The microwave oven had a supplied power of 1480 watts and produced electromagnetic waves at 2.45 GHz with a delivered power of 1000 Watts. After each treatment/rest cycle, the internal wood temperature, the mass of the sample, and the % MC were measured. As can be seen from the results reported in Table 2, the inventive treatment method removed about 50 grams (1.76 ounces) of water in 35 total minutes, resulting in a final moisture content of well-below the 15% remediation requirement.
[0084] After testing, the samples reported in Table 2 were carefully inspected. No signs of physical damage (e.g., splitting, cupping, warping, or twisting) were found. Sample 1 was then cut in half along its long axis and inspected for internal signs of deterioration, discoloration, and thermal damage/burningAgain, there were no signs of damage found. These inspections verify that the method of the present invention can successfully reduce moisture content in wood structural members without causing damage to said members.
TABLE-US-00002 TABLE 2 1 2 Initial internal wood temperature before treatment (C.) 19.4 19.0 Measure- Core Moisture Content (% MC) 26.2 25.4 ment Top Surface Moisture Content (% MC) 22.2 21.7 Average Moisture Content (% MC) 24.9 24.2 Initial Mass of sample = water + wood (grams) 297 273 Mass of Dry Wood in Sample (grams) 238 220 Initial Mass of Water in Sample (grams) 59.1 53.1 Cycle 1 2 minutes EMW treatment/10 minutes resting internal wood temperature after treatment (C.) 108.1 106.0 Mass of Sample at end of cycle (grams) 280 256 Moisture Content at End of Cycle (% MC) 17.7 16.4 Cycle 2 2 minutes EMW treatment/10 minutes resting internal wood temperature after treatment (C.) 151.3 146.2 Mass of Sample at end of cycle (grams) 255 231 Moisture Content at End of Cycle (% MC) 7.2 5.0 Cycle 3 1 minute EMW treatment/10 minutes resting internal wood temperature after treatment (C.) 139.7 138.6 Mass of Sample at end of cycle (grams) 248 223 Moisture Content at End of Cycle (% MC) 4.3 1.4 Final Top Surface Moisture Content (% MC) 0 0 Measure- Total Water Removed (grams) 49 50 ment Total Reduction in % MC 20.6 22.8
[0085] Without being constrained by theory, it is postulated that the inventive EMW drying apparatus causes electromagnetic waves to penetrate approximately 1 inch below the surface of the wooden structural members, causing rapid, localized heating near the center of the material and subsequent pressurization of moisture at the core of the structural members being treated. This pressurization is believed to encourage accelerated transport of moisture to the surface, effectively increasing the rate of moisture diffusion through the wood. By directly addressing this rate-limiting step, the inventive EMW method is able to dry structural members in minutes as compared to the many weeks of time required for drying through unassisted evaporation. It is further hypothesized that the inventive EMW treatment method succeeds at quickly drying wooden structural members without physical damage (e.g., splitting, warping, or burning) because the method incorporates limitations on the rate of electromagnetic wave energy input into the structural member as well as requiring a resting period in which the internal pressure of moisture developed within the wood is allowed to dissipate.
[0086] Given the disclosure of the present method, one can easily envision extending the scope of use from the drying of individual structural members to the broader goal of drying entire wood-frame constructions. By way of example and not limitation, a homeowner employing the inventive method might initially place the EMW applicator of one embodiment of the inventive apparatus over a first segment of 24 bottom plate and, following the designated treat/rest cycle of the inventive method, dry a portion of the structural member. Once complete, the homeowner would then move the apparatus to an adjacent segment of the bottom plate and repeat the process again and again until the full length of the structural member is dried.
[0087] Because of the porous structure of wood, it should be noted that it is not strictly necessary to treat 100% of the length of an individual structural member, as moisture will tend to equilibrate via diffusion-like mechanisms across the length of the member. This means that the homeowner may omit treatment of segments comprising obstacles, such as for example piping, electric wiring, or the intersections between vertical and horizontal members within a stud wall, without fear of losing the benefits of the inventive method. Additionally, it is preferred to omit treatment of segments which may comprise elongated metal fasteners, such as for example bolts, nails, screws or staples, which might be prone to initiating electrical discharges when exposed to electromagnetic waves.
[0088] To achieve the minimum drying time for a wood-frame structure, one may further envision, given the benefit of the present disclosure, that the inventive method may be applied as a series of overlapping treatment cycles, in which the resting period for a first segment is utilized as the drying period for a secondand possibly a third and a fourth, or even up to a fifth segmentbefore returning to the first segment to complete another drying period. In this way, the time expended waiting for completion of the resting period in one segment of an individual structural member is beneficially used to reduce the overall duration of drying in the greater wood-frame construction.
[0089] Finally, it will be evident that one can further reduce the duration of drying by utilizing a plurality of portable EMW drying apparatus to concurrently dry multiple structural members within the same wood-frame construction.
[0090] Table 3 summarizes energy efficiency calculations for the tests of Table 2. It can be seen that about 67.5% of the electrical power supplied to the oven is converted to delivered power in the produced microwaves. Further, it can be seen that about 40-45% of the delivered microwave energy was used to evaporate water from the samples, while the remainder of the energy was lost to sensible heating of the wood and the environment. This means that the overall energy efficiency of converting supplied electrical energy into evaporation in accordance with the method of the present invention is slightly less than 30%.
TABLE-US-00003 TABLE 3 1 2 Total Water Removed (grams) 49 50 Internal Wood Temperature Before Treatment (C.) 19.4 19.0 Treatment Energy Required for Sensible Heating (kcal) 4.0 4.1 Treatment Energy Required for Vaporization (kcal) 26.4 27.0 Total Energy Required for Treatment (kcal) 30.4 31.0 Energy Supplied - Electric Input (kcal) 106.1 106.1 Energy Delivered - EMW Output (kcal) 71.7 71.7 Magnetron Efficiency = Energy Delivered/Energy 67.5 67.5 Supplied (%) Treatment Efficiency = Energy Required/Energy 42.4 43.3 Delivered (%) Overall Efficiency = Energy Required/Energy 28.7 29.2 Supplied (%)
[0091] Given the relatively low energy efficiencies indicated in Table 3, it might appear that the inventive method is economically unattractive and therefore of limited utility. As a general illustration of the energy cost to employ the inventive method, the following notional example is provided:
[0092] A single storey, residential wood-frame construction of about 142 square meters (1,500 square feet) has been exposed to 50 mm (two inches) of flood water for a period of 24 hours, resulting in a post-flood moisture content of 25% in the SPF 24 bottom plates within the stud walls. It is desired to remediate the structure such that the bottom plates are returned to a moisture content of 15% or less. The residence has an effective perimeter (=combined length of interior+exterior stud walls) of about 98.5 meters (320 linear feet) of bottom plate. According to the results of Table 1, four minutes (two cycles) of active microwave production is sufficient to achieve the desired target % MC within each 150 mm (six inch) segment of the bottom plate. This equates to (320 feet)(4 minutes/0.5 feet)=2,560 minutes, or 42.7 hours, of equivalent magnetron operation to treat all of the affected structural members in the notional residence. Given that the magnetron requires 1480 watts of supplied power to operate, the total energy requirement to dry all of the bottom plate in the structure is 63.15 kilowatt-hours (kWh). At the time of this writing, the average cost of delivered residential power within the U.S. is about $0.10 per kWh. Therefore, the total energy cost to complete the drying of this notional residential wood-frame construction would be just $6.31. Additionally, it is apparent from this example that, with the simultaneous use of just two of the inventive portable EMW drying apparatus, this notional residential structure could be dried in less than 24 hours. Thus, it is evident that the inventive method and apparatus are both fast and economically attractive to use.
[0093] Taken as a whole, it is apparent that, due to the improvement in the speed of drying made possible by the inventive EMW drying apparatus and the associated EMW treatment method, it is entirely feasible to dry a significant portion of the in-situ structural members in a residence over the course of just a few hours and to remediate moisture absorption in an entire wood-frame construction in a far shorter time than has been previously possible.