DYNAMICS OF MOISTURE ABSORPTION IN MOVING THREADS

Аннотация

INTRODUCTION through the fiber. These models make it possible to The process of moisture absorption by moving predict how materials change under various yarns consists of complex mechanisms that are conditions, taking into account heat and mass important for the production of high-quality transfer [1]. Developed zero linear mathematical fabrics. By understanding the mechanisms of models describing the processes of isothermal moisture absorption and developing mathematical moisture absorption. These models are used in the models that describe these processes, textile analysis of various textile materials [2]. Presented products can be optimized for different conditions a mathematical model taking into account heat and of use. The purpose of this article is to analyze mass transfer when changing the density and existing mathematical models describing the structure of the thread. The model is intended for process of moisture absorption by moving yarns the analysis of materials used in extreme and to identify the main factors influencing these conditions [3]. Studying the movement of moisture processes. through fabrics, he showed the importance of the In the works reviewed, he presented two models density and orientation of the threads. This model describing the process of moisture transfer takes into account the structural properties of the https://www.theamericanjournals.com/index.php/tajas 21 THE USA JOURNALS THE AMERICAN JOURNAL OF APPLIED SCIENCES (ISSN – 2689-0992) VOLUME 06 ISSUE06 material [4]. Studying leather fabrics, equations for the dependence of the moisture characterizing the physical and mechanical absorption rate of the yarn on time. Based on these properties of the yarn, he developed a model models, the goal is to reduce the breakage of the analyzing the dynamic processes of moisture floor and hairy tan yarn based on the optimal absorption [5]. Proposed a model illustrating the humidity values. process of dynamic wet impregnation of two-layer Main part knitted fabrics. This approach is successfully used to analyze sportswear [6]. Developed heat and Hypotheses: mass transfer models for multi-level textile • Yarn speed: ground yarn speed v1, hairy structures. The study showed that simplified yarn speed v2. models can be effective in predicting the behavior • Steam velocity: cold steam velocity V. of fabrics [7]. Developed a model for predicting phase transitions between liquid and vapor in • Air temperature and relative humidity: air dynamic processes. This model is used in the temperature T, relative air humidity ϕ. analysis of textile materials under complex • Moisture content: the amount of moisture at conditions [8]. He developed an empirical model time t of the thread M(t), and the equilibrium describing the transfer of heat and moisture in moisture content ms under given conditions of multilayer textile structures [9]. Described a global temperature and humidity. mathematical model describing motion taking into account the effect of moisture on the physical Additional Hypotheses: properties of the thread. This model is used to • The rate of moisture absorption is predict the behavior of textiles under various proportional to the difference between the conditions [10]. equilibrium moisture content and the current On the loom, the fabric is woven by adding warp moisture content. yarn and feather tanda yarn. Before weaving, v1 is • The mass transfer coefficient depends on the the yarn speed on the loom v1, the yarn speed on relative velocity between the filament and the the loom v2. Before adding them, cold steam is vapor. supplied for the purpose of humidification. Given • Equilibrium humidity is known as a function the steam speed, yarn speeds, air temperature and of temperature MS t and relative humidity. relative humidity, we need to build differential Theoretical research The change in yarn moisture content over time is expressed as follows: 𝑑𝑀 = 𝑘(𝑀 − 𝑀(𝑡)) (1) 𝑠 𝑑𝑡 Here: • k is the mass transfer coefficient, which depends on the relative velocity. The relative velocity Vratio is defined as follows: 𝑣 = |𝑣 −𝑣 | (2) отношение 𝑣 𝑖𝑝 пар The mass transfer coefficient K is proportional to the relative velocity: 𝐾 = 𝑘 ≤ 𝑣 (3) 0 𝑣 https://www.theamericanjournals.com/index.php/tajas 22 THE USA JOURNALS THE AMERICAN JOURNAL OF APPLIED SCIENCES (ISSN – 2689-0992) VOLUME 06 ISSUE06 Here: • k0 is an experimentally determined proportionality coefficient. we substitute K into the differential equation: 𝑑𝑀 = 𝑘 ≤ 𝑣 (отношение 𝑀 −𝑀 (𝑡)) (4) 0 𝑣 𝑠 𝑑𝑡 For floor thread (V1): 𝐷𝑀 = 𝑘 ℃ |𝑣 −𝑣 |(𝑀 −𝑀(𝑇)) (5) 0 1 пар 𝑆 𝑑𝑡 For hairy warp yarn (V2): 𝐷𝑀 = 𝑘 ℃ |𝑣 −𝑣 |(𝑀 −𝑀(𝑇)) (6) 0 2 пар 𝑆 𝑑𝑡 The equilibrium humidity function MS of air temperature T and relative humidity ϕ: 𝑀 =𝑓 (𝑇,𝜙) (7) 𝑠 This function is based on the sorption isotherms of the thread material. Based on the above, we will compose general differential equations: 𝑑𝑀1 = 𝑘 ∙|𝑣 −𝑣 |(𝑓(𝑇,𝜙)−𝑀1(𝑡)) 0 1 𝑏𝑢𝑔′ 𝑑𝑡 (8) 𝑑𝑀2 = 𝑘 ∙|𝑣 −𝑣 |(𝑓(𝑇,𝜙)−𝑀2(𝑡)) 0 2 𝑏𝑢𝑔′