| 一类纺织材料热湿传递模型的数值解法 |
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| 引用本文： | 徐定华,葛美宝. 一类纺织材料热湿传递模型的数值解法[J]. 江西科学, 2010, 28(5): 578-582 |
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| 作者姓名： | 徐定华 葛美宝 |
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| 作者单位： | 1. 浙江理工大学理学院数学系,浙江,杭州,310018
2. 浙江理工大学科技与艺术学院,浙江,杭州,311121 |
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| 基金项目： | 国家自然科学基金项目，浙江理工大学科研项目( |
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| 摘 要： | 考虑具有平行圆柱孔结构的纺织材料中热湿传递问题,提出了热湿传递数学模型(即一类非线性常微分方程组的边值问题)。对方程组进行解耦后,利用有限差分法和数值积分把该问题离散化为一个非线性代数方程组,然后用牛顿迭代法进行数值求解。数值模拟表明,纺织材料的温度分布、水蒸气质量通量和水蒸气压力的数值结果与实验结果非常吻合,验证了数学模型的合理性和数值算法的有效性。
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| 关 键 词： | 纺织材料 热湿传递 非线性常微分方程组 有限差分法 牛顿迭代法 |
A Numerical Method of a Heat and Moisture Transfer Model in Textiles |
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| XU Ding-hua,GE Mei-bao. A Numerical Method of a Heat and Moisture Transfer Model in Textiles[J]. Jiangxi Science, 2010, 28(5): 578-582 |
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| Authors: | XU Ding-hua GE Mei-bao |
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| Affiliation: | XU Ding-hua1,GE Mei-bao2(1.Department of Mathematics,College of Sciences,Zhejiang Sci-Tech University,Zhejiang Hangzhou 310018 PRC,2.School of Science and Art,Zhejiang Hangzhou 311112 PRC) |
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| Abstract: | We consider the heat and mass transfer problem in parallel pore textiles and put forward a mathematical model of the heat and mass problem,i.e.,the boundary value problem for nonlinear system of ordinary differential equations.By means of decoupling the ODEs,finite difference method and numerical integral approaches,the problem is converted into a system of nonlinear algebraic equations,which is solved by Newton iteration method.Numerical simulation results manifest that the numerical solutions of temperatu... |
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| Keywords: | Heat and moisture transfer Nonlinear ordinary differential equations Finite difference method Newton's iteration method |
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