SELF-FLOWING TREATMENT OF WOOD, BAMBOO, AND OTHER POROUS MATERIALS
20260070255 ยท 2026-03-12
Assignee
Inventors
Cpc classification
B27K3/32
PERFORMING OPERATIONS; TRANSPORTING
C08H8/00
CHEMISTRY; METALLURGY
B27K2240/10
PERFORMING OPERATIONS; TRANSPORTING
B27K3/52
PERFORMING OPERATIONS; TRANSPORTING
International classification
B27K3/32
PERFORMING OPERATIONS; TRANSPORTING
B27K3/52
PERFORMING OPERATIONS; TRANSPORTING
B27K9/00
PERFORMING OPERATIONS; TRANSPORTING
Abstract
Methods and systems for self-flowing treatment of wood, bamboo or other porous materials do not require external pressure or complicated equipment. Treatment liquid flows through these porous materials through use of capillary action, the use of absorbent sheets, and differences in pressure. The treatment solution is more evenly dispersed throughout the materials.
Claims
1. A self-flowing system for treatment of porous material, comprising: a treatment solution; a treatment container, wherein the treatment container is at least partially filled with the treatment solution; a porous material to be treated, wherein the porous material has a lower surface and an upper surface; wherein the porous material is placed in the treatment container and immersed at least partially in the treatment solution, and wherein the upper surface of the porous material is not immersed in the treatment solution; a storage container; and an absorbent material that traverses between the treatment container and the storage container and is in contact with the upper surface of the porous material, wherein the treatment solution flows from the treatment container to the storage container through the porous material and the absorbent material, wherein the treatment solution passes from the lower surface of the porous material through the porous material to an upper surface of the porous material via capillary force.
2. The self-flowing system of claim 1, wherein the porous material is wood, bamboo, or other porous materials.
3. The self-flowing system of claim 1, wherein the treatment solution comprises H.sub.2O, H.sub.2O.sub.2, NaClO, NaClO, CH.sub.3COOH, HCOOH, H.sub.2SO.sub.4, ClO.sub.2, Cl.sub.2, NaOH, Na.sub.2S, C.sub.5H.sub.6O.sub.2, NaHSO.sub.3, SO.sub.2, ammonia or amine based preservatives, Na.sub.2SO.sub.3, (C.sub.2H.sub.5).sub.2O, CH.sub.3OH, C.sub.7H.sub.8O, C.sub.3H.sub.6O, C.sub.2H.sub.5OH, C.sub.4H.sub.6O.sub.3, C.sub.4H.sub.9OH, NH.sub.3, NH.sub.3H.sub.2O, CH.sub.2Cl.sub.2, C.sub.5H.sub.10N.sub.2O.sub.5, H.sub.6NO.sub.4P, borate, particulate suspension, triethanolamine C.sub.16H.sub.22ClN.sub.3O, C.sub.15H.sub.17Cl.sub.2N.sub.3O.sub.2, C.sub.6HCl.sub.5O, or combinations thereof.
4. The self-flowing system of claim 1, wherein the absorbent material has a density between 0.1 g/cm.sup.3 and 2 g/cm.sup.3, an absorption speed greater than 0.1 cm, and a thickness greater than 0.1 inn.
5. The self-flowing system of claim 1, wherein the treatment solution in the treatment container has a height of t2, wherein the treatment solution in the storage container has a height of t3, and wherein the difference between t2 and t3 is greater than 0.04 m.
6. A method for self-flowing treatment of porous material, comprising: placing a porous material in contact with a treatment solution, wherein the porous material has a lower surface and an upper surface, wherein the lower surface of the porous material is immersed in the treatment solution, and wherein the upper surface of the porous material is not immersed in the treatment solution; placing an absorbent material in contact with the upper surface of the porous material, whereby the treatment solution passes from the lower surface of the porous material through the porous material to an upper surface of the porous material via capillary force and whereby the treatment solution flows from the upper surface of the porous material into and through the absorbent material; collecting the treatment solution after it flows through the absorbent material; and removing the porous material from the treatment solution to produce a treated porous material.
7. The method of claim 5, wherein the porous material is wood, bamboo, or other porous materials.
8. The method of claim 5, wherein the treatment solution comprises H.sub.2O, H.sub.2O.sub.2, NaClO, NaClO, CH.sub.3COOH, HCOOH, H.sub.2SO.sub.4, ClO.sub.2, Cl.sub.2, NaOH, Na.sub.2S, C.sub.5H.sub.6O.sub.2, NaHSO.sub.3, SO.sub.2, ammonia or amine based preservatives, Na.sub.2SO.sub.3, (C.sub.2H.sub.5).sub.2O, CH.sub.3OH, C.sub.7H.sub.8O, C.sub.3H.sub.6O, C.sub.2H.sub.5OH, C.sub.4H.sub.6O.sub.3, C.sub.4H.sub.9OH, NH.sub.3, NH.sub.3H.sub.2O, CH.sub.2Cl.sub.2, C.sub.5H.sub.10N.sub.2O.sub.5, H.sub.6NO.sub.4P, borate, particulate suspension, triethanolamine C.sub.16H.sub.22ClN.sub.3O, C.sub.15H.sub.17Cl.sub.2N.sub.3O.sub.2, C.sub.6HCl.sub.5O, or combinations thereof.
9. The method of claim 5, wherein the absorbent material has a density between 0.1 g/cm.sup.3 and 2 g/cm.sup.3, an absorption speed greater than 0.1 cm, and a thickness greater than 0.1 mm.
10. The method of claim 5, wherein the treated porous material has a reduced lignin content and improved thermal insulation properties.
11. The method of claim 6, wherein the porous material is placed in contact with the treatment solution in a treatment container, and wherein the treatment solution is collected in a storage container after it flows through the absorbent material.
12. The method of claim 11, wherein the treatment solution in the treatment container has a height of t2, wherein the treatment solution in the storage container has a height of t3, and wherein the difference between t2 and t3 is greater than 0.04 m.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS
[0030] The present disclosure relates to methods for treatment of wood and porous materials using a self-flowing technique that does not require external pressure or complicated equipment.
[0031]
[0032] In
[0033] The principle of self-flowing treatment method is illustrated in
[0034] The self-flowing process is an innovative and eco-friendly technique for introducing liquid into wood. As depicted in
[0035] Chemical treatments of wood can be classified into two major categories based on the way the chemical agent interacts with wood. The first category involves a chemical reaction between the agent and wood components, resulting in a change in the wood's original properties. The second category involves a treatment in which the agent remains in the wood and imparts a specific function to it. The delignification of wood is an example of the former, where wood is treated with chemicals to remove lignin, hemicelluloses, and other wood components to improve its porous structure and mechanical properties. Preservative treatment of wood is an example of the latter, where wood is treated with chemical agents to prevent decay, insect attack, and other types of damage. Borate is a widely used preservative that helps protect wood from decay and fire.
[0036] Accordingly, preferred embodiments described herein relate to a self-flowing system for treatment of wood comprising a treatment container, where the treatment container is at least partially filled with a treatment solution, wood or a porous material to be treated, where the wood is placed in the treatment container and immersed at least partially in the treatment solution, a storage container, and an absorbent material that traverses between the treatment container and the storage container and is in contact with the upper surface of the material to be treated, such that the treatment solution flows from the treatment container to the storage container through the porous material to be treated, such as wood, to the storage container, pulled through the absorbent material. The treatment solution passes from a lower surface of the wood and through the wood to an upper surface of the wood at least in part via capillary force.
[0037] Preferred embodiments described herein also relate to a self-flowing system for treatment of wood as shown in
[0038] For some treatments that require to be carried out at elevated temperatures, heating elements can be designed into the treatment tank (Tank 1) so that a desired temperature can be achieved for the self-flowing process.
[0039] In preferred embodiments, the chemical agents for self-flowing treatment include but are not limited to: H.sub.2O, H.sub.2O.sub.2, NaClO, NaClO.sub.2, CH.sub.3COOH (Acetic acid), HCOOH (Formic acid), H.sub.2SO.sub.4, ClO.sub.2, Cl.sub.2, NaOH, Na.sub.2S, C.sub.4H.sub.6O.sub.2 (furfuryl alcohol), NaHSO.sub.3, SO.sub.2, Ammonia or amine based preservatives, such as ACQ and ACiZA, Na.sub.2SO.sub.3, (C.sub.2H.sub.5).sub.2O (Diethyl ether), CH.sub.3OH (Methanol), C.sub.7H.sub.8O (Benzyl alcohol), C.sub.3H.sub.6O (Acetone), C.sub.2H.sub.15OH (Ethanol), C.sub.4H.sub.16O.sub.3 (Acetic anhydride), C.sub.4H.sub.9OH (Butanol), NH, NH.sub.3H.sub.2O, CH.sub.2Cl.sub.2 (Dichloromethane), C.sub.5H.sub.10N.sub.2O.sub.5 (dimethyloldihydroxyethylenerurea), H.sub.6NO.sub.4P (Ammonium dihydrogenphosphate), borate, particulate suspension, triethanolamine C.sub.16H.sub.22ClN.sub.3O (Tebuconazole), C.sub.15H.sub.17Cl.sub.2N.sub.3O.sub.2 (Propiconazole), C.sub.6HCl.sub.5O (Pentachlorophenol), or a combination thereof.
[0040] In preferred embodiments, the absorbent sheet can be made from cloth, paper, or other synthetic materials (e.g., nylon, polyester, acrylic, polyurethane, polyolefin, acetate, aramid fiber, glass fiber, quartz fiber and the like), plant-based fiber (e.g., cotton, flax, hemp, jute and the like), animal-based fiber (e.g., wool, silk and the like) or a mixture thereof. It is preferred that the absorption speed be greater than 0.1 cm. Absorption speed is the distance in cm that liquid will travel in an upright strip of paper in ten minutes at 20 C. It is also preferred that the thickness of the absorbent sheet be greater than 0.1 mm, and it can be folded to increase its thickness. Depending on the material, the density of absorbent sheet preferably ranges from 0.1 g/cm.sup.3 to 2 g/cm.sup.3.
[0041] The described self-flowing process will work better when the wood to be treated has a high moisture content (i.e., green lumber/timber). For wood with low moisture content (not much water in the vessel or tracheid), the initial liquid flow through the wood may require a longer time. To accelerate the initial liquid flow, one method is to use a low surface tension liquid (i.e., hexane, methanol, etc.) first to initiate the liquid flow through the wood, and then the desired treatment solution can be applied so that the treatment process can be significantly accelerated.
EXAMPLES
Experimental
[0042] Material. Basswood (Tilia americana) and Balsa (Ochroma pyramidale) were used in these examples. Sodium chlorite (NaClO.sub.2, 80%) was purchased from Alfa Aesar (Haverhill, MA). Sodium tetraborate decahydrate was purchased from Fisher Scientific (Hampton, NH). Acetic acid, sodium hydroxide, turmeric, ethyl alcohol, hydrochloric acid, and salicylic acid were obtained from Sigma-Aldrich (St. Louis, MO), and all other chemicals were used as received.
[0043] Construction. An embodiment of a self-flowing system was constructed according to
[0044] Samples. Delignification solution was prepared. Briefly, wood samples were treated with 2% NaOH solution at 90 C. for 2 h and then treated with 3% NaClO.sub.2 solution at 80 C. for 3 h. The 3% NaClO.sub.2 solution was prepared by dissolving NaClO.sub.2 powder in DI water, By adding acetic acid, the pH value of the NaClO.sub.2 solution was adjusted to 4.6. Before treatment with NaClO.sub.2, the wood should preferably be washed with DI water until neutral to ensure the removal of residual NaOH. After delignification treatment all wood samples were freeze-dried for characterization.
[0045] To compare the differences between the delignification processes, the wood samples were delignified by the self-flowing process described herein, a vacuum process and an immersion process under the same chemical treatment conditions.
[0046] For the self-flowing process, the wood samples were stored in water before use. The outlet pipe and air intake pipe were clamped. The 2% NaOH solution was poured into Tank 1 through the top opening, then the opening was closed. The wood sample was placed in Tank 2 which was heated to 85 C. with a water bath. The clamp at the outlet pipe and air intake pipe was removed to start the flow of solution from Tank 1 to Tank 2, When the liquid solution level reached the air intake pipe, the air intake pipe was closed by the solution so that the flow to Tank 2 was stopped. The 2% NaOH solution will continuously flow from the bottom of the wood through the absorbent sheet into Tank 3. After treatment with NaOH solution for 2 h, the wood samples were fully washed by changing the NaOH solution in Tank 1 to DI water. Then, wood samples were treated with NaClO.sub.2 solution for 3 h using the same process.
[0047] For the immersion process, the wood samples were immersed directly in NaOH solution, DI water and then NaClO.sub.2 solution.
[0048] The preparation of densified wood followed the methodology described by Song et al (Song, J., et al., Processing bulk natural wood into a high-performance structural material, Nature, 554 (7691), 224-228 (2018)). Initially, natural wood blocks were treated with an aqueous solution consisting of mixed 2.5 M NaOH and 0.4 M Na.sub.2SO.sub.3 at boiling temperature. The treatment was carried out using both immersion and self-flowing methods. The lignin content of the treated wood was reduced by approximately 45%. Subsequently, the wood blocks were subjected to a hot-pressing process at 100 C. and a pressure of approximately 5 MPa for 24 hours to achieve densification.
[0049] Characterization. The sample micromorphology was examined using the scanning electron microscope (SEM, Quanta 200). These samples were gold sputtering coated for 20 s before the examination. The 20-kV acceleration voltage and 10-ms dwelling time were applied. The mechanical properties of the samples (165 mm long13 mm wide1 mm thick) were measured using an AGS-X universal testing machine in accordance with the procedure described in A STM D638.
[0050] The lignin (Klason lignin) contents were determined based on the Standard of TAPPI T 222 om-02. 1.0 g dry wood was extracted for 8 h, and then treated with 72% sulfuric acid (15 mL) for 2 h at 20 C. After adding 560-mL DI water, the mixture in a beaker was diluted to 3% concentration of sulfuric acid, and then boiled for 4 h, After cooling down, the mixture was filtered and washed with the DI water. To obtain the ash weight, according to TAPPI T 211 om-02, the insoluble substances were dried and weighed before transferring to a muffle furnace at 525 C. The content of lignin was calculated using the following equation:
where m.sub.1 is the weight of insoluble materials, m.sub.2 is the weight of ash, and m.sub.0 is the oven-dried weight of the specimen.
[0051] The measurement of heat conductivity was conducted using a I-lot Disk heat conductivity meter (TPS 1500, Thermtest Inc.). The Hot Disk includes both the heat source and the resistance thermometer.
[0052] The depth of borate impregnation in was conducted according to the American Wood Protection Association (AWPA) A68-22 standards. Briefly, two solutions were prepared for this test. Solution 1 was made by extracting 10 grams of turmeric with 90 grams of ethyl alcohol. Solution 2 was created by diluting 20 milliliters of concentrated hydrochloric acid to 100 milliliters with ethyl alcohol and then saturating it with salicylic acid (about 13 grams per 100 milliliters). Samples with dimensions of 5 cm by 5 cm were used for the penetration assay and were dried prior to making the final cut to expose the surface for spraying. All samples were cut down the middle in the direction of the wood growth. Solution 1 was applied by spraying onto the test surface and allowed to dry for 10 minutes. Solution 2 was then applied similarly to the areas that had been colored yellow by the application of Solution 1. The color changes were observed carefully and appeared after the application of the second solution. In the presence of boron, the yellow color of the turmeric solution turns red. After reagent application, the wood was placed in a warm oven to accelerate and intensify the color reaction, allowing for better differentiation between treated and untreated wood.
[0053] Delignification. To evaluate the effectiveness of the self-flowing treatment method involving a chemical reaction between the agent and wood components, we conducted a delignification treatment on the wood samples. Two other treatment methods, the immersion and vacuum method, were also employed for comparison. The delignification treatments were carried out for a duration of 3 hours tinder identical conditions. Details of the experimental procedure are discussed above.
[0054]
[0055] All specimens were cut in half to obtain both exterior and interior samples, which were then examined separately under a scanning electron microscope (SEM). The self-flowing delignified wood samples had a more porous structure and thinner cell walls, both inside and outside, compared to the samples obtained by the immersion and vacuum methods, as shown in
[0056] It is also worth noting that lignin is present in large amounts at the corners of the cells. The removal of lignin can create voids in this part of the samples, which can be observed in the boxes in
[0057] It can be concluded that the self-flowing method leads to a more homogenous delignification of the wood samples, resulting in a more porous structure and thinner cell walls throughout the samples. The immersion and vacuum methods, on the other hand, led to a more heterogeneous delignification, resulting in a more porous structure on the exterior of the samples and less porous structure in the interior of the samples, Additionally, the vacuum method caused cracks to appear in the delignified wood samples, which can be detrimental to the properties of the wood.
[0058] To determine the distribution of lignin within the wood samples after treatment, the wood sample was cut through the middle. The lignin contents were measured on the sample locations every 5 mm apart across the width of the wood as shown in
[0059]
[0060] For the delignified sample obtained from self-flowing treatment, the lignin content for both surface and interior locations of the wood sample decreased to below 5% (about 74% reduction). The standard deviation of the lignin content distribution was only 0.7.
[0061] From these results, it shows that the presented self-flowing treatment allows sufficient reaction of the solution throughout the wood sample, presenting a uniform treatment. In contrast, for the other two methods, the reaction mainly happened on the wood surface. This can have implications for the properties and potential applications of the delignified wood samples, as a more uniform removal of lignin may lead to improved properties and a wider range of potential uses.
[0062] Thermal insulation performance. The removal of lignin from wood results in a porous and lightweight structure that is ideal for use as a scaffold. One significant application of delignified wood scaffold is in thermal insulation. The porous structure allows for efficient trapping of air, which makes it an excellent insulator against heat transfer. Delignified wood has a significantly lower thermal conductivity compared to natural wood and is even lower than most conventional insulation materials. Additionally, it is biodegradable and environmentally friendly, making it a suitable option for energy-efficient buildings, electrical equipment, and other applications. A comparative experiment was performed to investigate the thermal insulation between the self-flowing treated delignified wood and the other two delignification methods (immersion and vacuum methods).
[0063]
[0064] The thermal conductivity of untreated wood, as well as delignified wood obtained through the immersion method, the vacuum method, and the self-flowing method, were all compared perpendicular to the grain. The experimental results revealed that the thermal conductivities of these samples were 0.131, 0.095, 0.083 and 0.032 W/m IK respectively. This trend was consistent with the lignin content of the samples, as the thermal conductivity of the wood decreased as the lignin content decreased.
[0065] The delignified wood prepared by the self-flowing method had the lowest thermal conductivity due to the lowest and uniform lignin content among the samples. The removal of lignin increases the porosity of the samples. This large porosity leads to a much smaller thermal conductivity. Additionally, the removal of lignin reduces the linkage among cellulose fibrils and the fibril aggregates within the fibril wall, leading to weaker interaction between fibrils and reducing the thermal conductivity in the transverse direction. Therefore, in terms of thermal insulation properties, the samples prepared by the self-flowing treatment method have an advantage over the other two methods.
[0066] Densification. Lignin is a natural substance found in wood that gives it its rigidity and strength. However, it also makes wood difficult to bend and compress. By removing some lignin through delignification treatment, wood becomes more flexible and easier to compress (Song et al., 2018). This increased flexibility and compressibility can be particularly beneficial in the production of densified wood. Densified wood is created by compressing wood fibers together to increase its density and strength. Delignification treatment can significantly improve the density and compression rate of densified wood, resulting in a stronger and more durable material that is suitable for a wide range of applications. To explore the distinctions between densified wood prepared by the self-flowing delignification method and that produced by the conventional delignification approach, a comparative test was conducted.
[0067] The density and compression ratio of the densified wood are key indicators of its effectiveness. The quality of the delignified wood also plays a role in determining these indicators. Densified wood was prepared using both self-flowing and immersion delignification methods.
[0068] As seen in
[0069] Borate treatment, Besides its benefits in chemical treatments that involve reactions with wood, the self-flowing method also excels in treatments that do not require chemical reactions with the wood, such preservative impregnation treatment. Borate is a type of wood preservative that utilizes naturally occurring minerals to protect wood from various organisms that can cause decay and damage. These preservatives are low in toxicity, making them safe for use in indoor settings where the treated wood is protected from weather elements. The preservatives penetrate the wood and prevent the growth of fungi, termites, and other wood-decomposing organisms. This makes borate wood preservatives a popular choice for builders, architects and homeowners for their effectiveness and non-toxicity.
[0070] The main challenge of this type of preservative treatment is to ensure that the preservative is impregnated deep enough into the wood to provide adequate protection. An investigation was made into the effectiveness of the self-flowing impregnation method for borate wood preservatives. Traditional impregnation methods such as immersion and vacuum impregnation were used for comparison with the self-flowing impregnation method.
[0071] The study's methodology involves treating the wood samples with an aqueous borate solution. The depth of borate impregnation was then tested by sawing the wood axially along the growth direction. The depth of borate impregnation was determined according to the method described in the American Wood Protection Association (AWPA) A68-22 standards. The presence of boron on a freshly cut sample of treated wood was visually determined by adding two color regents which turn boron-treated wood red.
[0072]
[0073] When comparing the results of the self-flowing method to the traditional immersion and vacuum methods, the self-flowing method provides a deeper depth of impregnation. The approximate area covered by borates in the wood treated by the immersion method was about 30%, while the wood treated by the vacuum method had an approximate area covered of 80%. Therefore, the self-flowing impregnation method has a significant advantage over the traditional immersion and vacuum methods in terms of the depth of borate impregnation. This method provides a more effective and complete penetration of the preservative throughout the wood, resulting in better protection against wood-decomposing organisms.
Modeling
[0074] To optimize the use of chemical agents, reduce the cost of treatment, and improve the durability and performance of wood products, it is essential to predict the flow rate of the self-flowing treatment. A mathematical model of self-flowing treatment can better understand the whole process and predict the time required for complete penetration and distribution of the chemical solution throughout the wood structure. The model considers the physical properties of the wood, such as porosity and density, and the chemical properties of the treatment solution, such as the concentration, viscosity. By simulating the flow and diffusion of the solution in the wood, the model can determine the optimal conditions for treatment and predict the time required for achieving the desired level of protection. It can improve the efficiency of wood treatment by reducing the need for trial and error, optimizing the use of chemical agents, and ensuring consistent quality and performance of treated wood products.
[0075]
[0081] Technically, there is no limit on the height of the wood to be treated. The depth of the wood immersed in the liquid, t2, should be less than the height of the wood t1. It is recommended that t2 is 50% to 99% of the height of the wood. The magnitude of t2 directly determines the hydraulic pressure at the bottom of the wood. The higher the pressure, the easier for the liquid to penetrate the wood. t5 is the distance of the wood above the liquid surface 6. The distance prevents the liquid from directly contacting the absorbent sheet. It is recommended that t5 is greater than 1 mm. T4 is the difference between t3 and t2. T4 will affect the moving speed of the liquid, which the absorbent sheet draws from the wood. It is recommended that t4 is greater than 1 cm.
[0082] During the treatment process, the liquid in Tank 1 continuously flows to Tank 2, resulting in a decrease in t2 and an increase in t3, which slows down the liquid flow speed through the wood. Therefore, t2 and t3 need to be controlled during the process.
[0083] The self flowing process can be described through the following equation:
[0101] Based on the above equation, maximizing the value of t2 would result in a faster flow rate Q. It is important to ensure that the absorbent sheet does not touch the liquid surface while keeping t2 as close to t1 as possible. Otherwise the absorbent sheet will draw the liquid directly from the container but not from the wood.
[0102] Therefore, the time required for the treatment liquid to flow completely through the wood can be expressed as:
where V is the volume of the wood sample.
[0103] To validate the prediction model, Basswood and Balsa wood blocks of different sizes and height were treated at 25 C. using 4% wt borate.
[0104] For Basswood, Table 1 below shows the parameter values that were used to calculate the flow rate and treatment time.
TABLE-US-00001 TABLE 1 r.sub.w= 1.06E06 m r.sub.s= 4.91E06 m = 1.00E03 Pa*s = 1.03E+3 KG/m.sup.3 g= 9.8 m/s = 8.70E+01 degree = 2.80E02 .sub.w= 4.50E+02 KG/m.sup.3 = 7.18E02 N/m
[0105] All the test data gathered were based on blocks of wood measuring 5 cm5 cm5 cm, unless stated otherwise.
[0106]
[0107]
[0108]
[0109] For Balsa Wood, Table 2 below shows the parameter values that were used to calculate the flow rate and treatment time.
TABLE-US-00002 TABLE 2 r.sub.w= 1.76E06 m r.sub.s= 4.91E06 m = 1.00E03 Pa*s = 1.03E+3 KG/m.sup.3 g= 9.8 m/s = 8.60E+01 degree = 2.80E02 .sub.w= 2.50E+02 KG/m.sup.3 = 7.18E02 N/m
[0110] Again, all the test data gathered were based on blocks of wood measuring 5 cm5 cm5 cm, unless stated otherwise.
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[0114] Theoretical and experimental research of the self-flowing process have shown that the computational outcomes from the present model exhibit strong agreement with the experimental data. This demonstrates the self-flowing treatment model's validity and dependability in estimating the time needed for chemically treating wood. The outcomes of this model may be used to lower the cost of treatment, increase the performance and durability of wood products, and optimize the usage of chemical agents.