LINEAR MATHEMATICAL MODEL OF WATER UPTAKE PERPENDICULAR TO FABRIC PLANE

M. Riabchykov; V. Vlasenko; S. Arabuli

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LINEAR MATHEMATICAL MODEL OF WATER UPTAKE PERPENDICULAR TO FABRIC PLANE

机译：垂直于织物平面的水吸收的线性数学模型

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摘要

The general approach to development of mathematical model of non-stationary water absorption by multilayered textile structures while plane water transfer and analytical linear model of water absorption and diffusion through individual textiles are offered. For simplification of its solution the diffusion coefficient was accepted constant. Unknown function of concentration is presented as infinite series which is product of two functions: one of function depends only on time; the second one depends only on concentration. We propose this approach to use at the decision of nonlinear model of water absorption.

机译：提供了开发多层纺织结构非平稳吸水数学模型的一般方法，同时提供了平面水转移和单个纺织品吸水和扩散的解析线性模型。为了简化其解决方案，扩散系数被接受为常数。浓度的未知函数表示为无穷级数，它是两个函数的乘积：一个函数仅取决于时间；另一个函数仅取决于时间。第二个只取决于集中度。我们提出这种方法用于决策吸水非线性模型。

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来源
《Vlakna a Textil》 |2011年第2期|p.24-30|共7页
作者
M. Riabchykov; V. Vlasenko; S. Arabuli;
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作者单位

Ukrainian Engineer-Pedagogical Academy, Universitetskaja 16, 61003 Kharkiv, Ukraine Kiev National University of Technologies and Design, Nemirovich-Danchenko 2, 01011 Kiev, Ukraine;

Ukrainian Engineer-Pedagogical Academy, Universitetskaja 16, 61003 Kharkiv, Ukraine Kiev National University of Technologies and Design, Nemirovich-Danchenko 2, 01011 Kiev, Ukraine;

Ukrainian Engineer-Pedagogical Academy, Universitetskaja 16, 61003 Kharkiv, Ukraine Kiev National University of Technologies and Design, Nemirovich-Danchenko 2, 01011 Kiev, Ukraine;

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正文语种 eng
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mathematical model; water absorption; diffusion coefficient; multilayered textile structures;

机译：数学模型;吸水率扩散系数多层纺织结构;

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LINEAR MATHEMATICAL MODEL OF WATER UPTAKE PERPENDICULAR TO FABRIC PLANE

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