Mathematical modeling and numerical simulation of heat and moisture transfer in a porous textile medium

Fontana, Éliton; Donca, Rafael; Mancusi, Erasmo; Souza, Sabrina da Silva de

doi:10.1080/00405000.2015.1061324

Cited by 20 publications

(9 citation statements)

References 23 publications

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“…e results showed that good results were observed for the stone removal rate of silodosin, and its hazard ratio was 1.33. Eliton used predictive mathematical models to simulate to obtain information about parameters such as temperature, relative humidity, and vapor pressure so as to measure the moisture accumulated in the clothing insulating materials [7]. Experiments show that the application of mathematical models can simulate the heat transfer and moisture transfer in fabric samples, and the finite volume method is combined to verify the consistency of the simulation results with physical reality.…”

Section: Introductionmentioning

confidence: 99%

Design of Epidemic Prevention Medical Special Clothing Based on Mathematical Model Analysis

Liu

et al. 2021

Mathematical Problems in Engineering

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Among the many diseases, the harm of infectious diseases is undoubtedly the first in terms of the scope of the disease and the threat to humans. In addition, most infectious diseases were regarded as terminal illnesses in the early stage of the outbreak. For example, smallpox and plague in history have even chosen to isolate patients and abandon them to prevent the spread of infectious diseases due to the lack of protection and treatment methods. Therefore, in the treatment of infectious diseases, epidemic prevention is very important. Based on this, this article discusses the research of special medical clothing design for epidemic prevention based on mathematical model analysis, hoping to provide strong help and support for epidemic prevention. First of all, this article understands the application status of mathematical models in the medical field and clothing design industry through literature research. Then, according to the functional requirements of antiepidemic medical special clothing in terms of protection from virus invasion and infection by other contact methods, this article established an antiepidemic clothing quality evaluation index system. Then, this article designs a simulation penetration test of pathogenic bacteria to test the protective function of the antiepidemic clothing and uses mathematical models to analyze the molecular structure and physical properties of the antiepidemic clothing materials. Finally, this article builds an analytic hierarchy model for the quality evaluation of epidemic prevention clothing based on the principle of analytic hierarchy process, analyzes the simulated experimental data and predicts the service life of the epidemic prevention clothing according to the performance degradation so that medical staff can replace it in time. The experimental results show that with the aid of mathematical model analysis, the quality of the epidemic prevention clothing is higher than the previous antiepidemic clothing design in terms of epidemic prevention performance, and in addition to the disposable epidemic prevention clothing, the multiple-use epidemic prevention clothing is not serious in the epidemic. Under these circumstances, it can maintain the antiepidemic performance for more than 2 months.

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Section: Introductionmentioning

confidence: 99%

Design of Epidemic Prevention Medical Special Clothing Based on Mathematical Model Analysis

Liu

et al. 2021

Mathematical Problems in Engineering

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“…8 In order to furnish a greater insight into the process, the following assumptions are adopted in the study:(1) The solid phase (PU) is treated as homogeneous and isotropic, and the deformation of the membrane is so small that it can be ignored. 38 (2) The gaseous phase is an ideal mixture of water vapor and air. 39 (3) The driving force of gravity is ignored because the depth of moisture transmission is very shallow.…”

Section: Methodsmentioning

confidence: 99%

Simulation of coupled transient heat and water vapor transfer in porous fiber membrane with different fiber orientations and porosity

Gao

et al. 2021

Journal of Industrial Textiles

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The transfer process of heat and water vapor in a porous fiber membrane was investigated through the simulation of a 3D model for optimizing the configuration design. 3D models with different fiber orientations and porosity were constructed by the parameter input method, and the accuracy of the model was validated by the coefficient of determination (R2) between the apparent velocity of the model and the air permeability of the membrane. The permeability of 3D model was used to reflect the discrepancy in fiber orientation of the model. The influences of fiber orientation and porosity on heat and water vapor transfer were surveyed by the coupled physics of heat transfer and dilute substance transfer. Since there was no temperature difference in the entire domain, heat conduction (10−9 W/m2) and moisture convection (10−14 mol·m−2·s−1) were faint in the model. With the diffusion of water vapor in the moisture, the heat convection flux and water vapor diffusion flux gradually decreased and reached equilibrium. When the permeability was increased by adjusting the fiber orientation (from 1.002 to 1.200 m2), the heat convection flux and water vapor diffusion flux followed a similar growth pattern due to the coupling effect of heat transfer and water vapor transfer. The R2 for the heat convection flux and water vapor transmission rate of the simulations and experiments with different porosity (44.87, 47.64 and 50.15%) were 0.999 and 0.923, respectively, which demonstrated the validation of the simulation in heat and water vapor transfer.

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“…A comprehensive look at the literature reveals that the modelling of sweat secretion and distribution over an underlying garment is rather scarce to the best of our knowledge. Some mathematical studies on moisture migration through a porous medium with potential applications to the textile industry can be found (Li and Sun, 2012;Fontana et al, 2016;Wang and Sun, 2014;Voelker et al, 2009), but no simulation of the flow in a sweat duct discharging into a garment has been reported. Although rather costly, an experimental setup has also been developed lately to simulate sweat production and help with the development of protective clothing (Psikuta et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of the interaction between eccrine sweat and textile fabric for the development of smart clothing

Stephenson

Ellero

Sebastia‐Saez

et al. 2020

IJCST

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PurposeLive non-invasive monitoring of biomarkers is of great importance for the medical community. Moreover, some studies suggest that there is a substantial business gap in the development of mass-production commercial sweat-analysing wearables with great revenue potential. The objective of this work is to quantify the concentration of biomarkers that reaches the area of the garment where a sensor is positioned to advance the development of commercial sweat-analysing garments.Design/methodology/approachComputational analysis of the microfluidic transport of biomarkers within eccrine sweat glands provides a powerful way to explore the potential for quantitative measurements of biomarkers that can be related to the health and/or the physical activity parameters of an individual. The numerical modelling of sweat glands and the interaction of sweat with a textile layer remain however rather unexplored. This work presents a simulation of the production of sweat in the eccrine gland, reabsorption from the dermal duct into the surrounding skin and diffusion within an overlying garment.FindingsThe model represents satisfactorily the relationship between the biomarker concentration and the flow rate of sweat. The biomarker distribution across an overlying garment has also been calculated and subsequently compared to the minimum amount detectable by a sensor previously reported in the literature. The model can thus be utilized to check whether or not a given sensor can detect the minimum biomarker concentration threshold accumulated on a particular type of garment.Originality/valueThe present work presents to the best of our knowledge, the earliest numerical models of the sweat gland carried out so far. The model describes the flow of human sweat along the sweat duct and on to an overlying piece of garment. The model considers complex phenomena, such as reabsorption of sweat into the skin layers surrounding the duct, and the structure of the fibres composing the garment. Biomarker concentration maps are obtained to check whether sensors can detect the threshold concentration that triggers an electric signal. This model finds application in the development of smart textiles.

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Mathematical modeling and numerical simulation of heat and moisture transfer in a porous textile medium

Cited by 20 publications

References 23 publications

Design of Epidemic Prevention Medical Special Clothing Based on Mathematical Model Analysis

Design of Epidemic Prevention Medical Special Clothing Based on Mathematical Model Analysis

Simulation of coupled transient heat and water vapor transfer in porous fiber membrane with different fiber orientations and porosity

Numerical modelling of the interaction between eccrine sweat and textile fabric for the development of smart clothing

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