Mathematical modeling of moisture transfer in wood drying for the two-dimensional case
Mathematical modeling of moisture transfer in wood drying for the two-dimensional case
复制标题
二维情况下木材干燥水分传递的数学模型
DOI：
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
М. В. Дендюк
中科院分区：
文献类型：
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作者：
О. В. Овсяк;М. В. Дендюк
木材干燥过程中水分迁移的数学模型是一个相关的和复杂的任务，在林业和木材加工行业具有重要的实际意义。木材内部的水分迁移是木材干燥过程中的主要物理过程，直接影响木材加工的质量和效率。改进这一过程可以降低成本并提高最终产品的质量。然而，预测木材在不同条件和参数下的水分释放仍然是一项具有挑战性的任务，由于该过程的复杂性和各种物理和机械因素的影响，总的来说，这项工作致力于开发和利用数学模型的分析和模拟木材在干燥过程中的水分转移。特别注意使用有限元方法和元胞自动机模拟这一过程中的二维背景。在这项研究中，元胞自动机方法作为一个潜在的有效工具，模拟木材干燥过程中的水分动态。这种方法的基本思想是将木材分成小实体或单元，每个实体或单元都分配其物理属性和状态。随后，根据这些细胞的状态和周围条件，模拟了水分在这些细胞之间的传递。这种方法可以更详细地检查水分转移过程，并考虑各种因素的影响，如温度，空气湿度，木材几何形状及其物理特性，对每个单独的细胞。所进行的研究结果表明，元胞自动机方法被证明是一个有效的工具，木材干燥过程中的水分传递动力学建模。当比较元胞自动机和有限元方法时，很明显，元胞自动机提供更快的结果，更少的计算成本。这使得它们成为模拟木材干燥等复杂过程的有吸引力的选择，并为该领域的进一步研究和创新开辟了可能性。
Mathematical modeling of moisture transfer in lumber during drying is a relevant and complex task with significant practical importance in the forestry and wood processing industries. Moisture transfer in lumber is a primary physical process during drying, and it directly affects the quality and efficiency of wood processing for various applications. Improving this process can lead to cost reduction and higher quality of the final product. However, predicting moisture release in lumber under different conditions and parameters remains a challenging task due to the complex nature of the process and various physical and mechanical factors that influence it. In total, this work dedicated to the development and utilization of mathematical models for the analysis and simulation of moisture transfer in lumber during drying. Special attention given to the use of finite element methods and cellular automata for modeling this process in a two-dimensional context. In this study, the cellular automata method employed as a potentially efficient tool for simulating moisture dynamics in lumber during drying. The fundamental idea of this method is to divide lumber into small entities or cells, each of which assigned its physical properties and state. Subsequently, the transfer of moisture between these cells simulated based on their states and surrounding conditions. This approach allows for a more detailed examination of moisture transfer processes and considers the influence of various factors, such as temperature, air humidity, lumber geometry, and its physical properties, on each individual cell. The results of the conducted research indicate that the cellular automata method proves to be an effective tool for modeling the dynamics of moisture transfer in lumber during drying. When comparing cellular automata with finite element methods, it is evident that cellular automata provide quicker results with fewer computational costs. This makes them an attractive choice for modeling complex processes like lumber drying and opens up possibilities for further research and innovations in this field.