An inverse problem of thickness design for bilayer textile materials under low temperature

Xu, Dongmei; Cheng, Jin; Chen, Yuanbo; Ge, Meibao

doi:10.1088/1742-6596/290/1/012018

Cited by 12 publications

(15 citation statements)

References 13 publications

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“…For this reason, we extend our previous works [16] and propose an inverse problem of type design (IPTD) for bilayer textile materials under low temperature. That is to say, according to the environmental temperature and humidity and the body comfort index, from the knowledge of the textile geometry structure and thickness of the inner and outer material, as well as the heat conductivity of outer textile material, we shall determine the type of the inner material.…”

Section: Introductionmentioning

confidence: 72%

“…The optimization problem involved in this paper is a single variable problem. As we know, RH 0 i;j ðjÞ is relative humidity of inner fabric which is a numerical solution calculated by coupled ordinary differential equations, and it is difficult to obtain the derivative of RH 0 i;j ðjÞ, hence we must use the direct search method, such as direct search algorithm by Cai [16], Hooke-Jeeves's pattern search algorithm and Golden section method [17], etc., to solve the above optimization problem.…”

Section: Iteration Algorithms Of the Regularized Solutionmentioning

confidence: 99%

“…On the other hand, according to the environmental temperature and humidity and the body comfort index, simultaneous estimation of physical parameters and thickness of textiles are inverse problems for coupled heat and mass transfer process [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…For dynamic model of heat and mass transfer, we can see [14] for example. Based on the model, the formulation of inverse problems of textile material design for single-layer textile materials under low temperature was first put forward and different numerical methods were applied to solve these inverse problems, such as Hooke-Jevees's pattern search method, Golden section method and the other direct search method [15,16].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Type design for bilayer textile materials under low temperature: Modeling, numerical algorithm and simulation

Xu¹,

Chen²,

Zhou³

2013

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 72%

Section: Iteration Algorithms Of the Regularized Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Type design for bilayer textile materials under low temperature: Modeling, numerical algorithm and simulation

Xu¹,

Chen²,

Zhou³

2013

International Journal of Heat and Mass Transfer

Self Cite

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“…These methods include regularization methods, quasisolution method, finite difference method, direct search method, iterative algorithms, and stochastic algorithms. [9][10][11][12][13][14][15] Therefore in this paper, we progressively present a comprehensive description on the mixed problems for coupled partial differential equations based on dynamic heat and moisture transfer law with condensation in porous fabric. More importantly, we mathematically formulate novel IPTMD based on heat-moisture comfort indexes.…”

Section: Background Of the Inverse Problems Of Textile Materials Determentioning

confidence: 99%

Inverse problems of textile material design based on clothing heat-moisture comfort

Xu¹

2014

Applicable Analysis

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Research on inverse problems of textile material design, which are motivated from functional clothing industry, is an inspiring and promising research field in the inverse problems family. It is important to reveal heat and moisture transfer characteristics in the system of human body-clothing-environment, which directly determines clothing heat-moisture comfort level. We present a comprehensive description on the mixed problems for coupled partial differential equations (in abbreviation, Direct Problems) based on dynamic heat and moisture transfer law with condensation in porous fabric. More importantly, we mathematically formulate novel inverse problems of textile material determination (in abbreviation, IPTMD) based on heat-moisture comfort indexes. The unique existence for the direct problems and numerical algorithms for IPTMD is reviewed. The further research topics are concluded to promote more fruitful achievements in the research of IPTMD in the near future. Background of the inverse problems of textile material determinationTextile materials should be designed and engineered to possess specific attributes or properties for different end-uses. People hold a common sense that better clothing, happier life; smarter clothing, more upgraded industries. Compared to other materials, such as metal, plastics, and electronics, engineering of textile materials presents a much greater challenge, owing to the lack of the precise relationships between material-processingstructural variables on one hand and properties and performance on the other as well as the nonlinear nature of the multivariable interactions. This is however changing, thanks to the efforts of generations of textile scientists. More luckily, we can now predict the properties and performance of textile materials by applying theoretical models and empirical relations. However, it would be further desirable to quantify the material, processing, and structural parameters from the anticipated *

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Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system

Peng

2022

Math Methods in App Sciences

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A Riemann-Liouville fractional Robin boundary-value problem is proposed to describe the fast heat transfer law both within isotropic materials and through the boundary of the materials in high temperature environment. The variational formulation of the fractional model is derived, and further, the energy estimation of the weak solution is deduced. Subsequently, the uniqueness theorem of weak solution is proved. A valid and stable finite difference scheme is developed for the fractional model. The numerical experiments are implemented to indicate that the fractional model is applicable to discover the thermal superdiffusion in the thermal protective clothing (TPC) system and numerical algorithms are effective to improve the intelligence of TPC design.

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An inverse problem of thickness design for bilayer textile materials under low temperature

Cited by 12 publications

References 13 publications

Type design for bilayer textile materials under low temperature: Modeling, numerical algorithm and simulation

Type design for bilayer textile materials under low temperature: Modeling, numerical algorithm and simulation

Inverse problems of textile material design based on clothing heat-moisture comfort

Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system

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