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一个用于研究步行和慢跑时鞋内传热的数学模型。

A mathematical model to investigate heat transfer in footwear during walking and jogging.

机构信息

Department of Mechanics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran.

Department of Design and Engineering, Staffordshire University, Stoke-On-Trent ST4 2DE, UK.

出版信息

J Therm Biol. 2021 Apr;97:102778. doi: 10.1016/j.jtherbio.2020.102778. Epub 2020 Nov 13.

DOI:10.1016/j.jtherbio.2020.102778
PMID:33863456
Abstract

Foot temperature during activities of daily living affects the human performance and well-being. Footwear thermal characteristics affect the foot temperature inside the shoe during activities of daily living. The temperate at the sole of the foot (plantar temperature) is influenced by different thermal properties such as heat capacity, heat diffusivity, and thermal conductivity of the shoe sole in addition to its mechanical properties. Hence the purpose of this study was to propose a method to allow investigating the effect of footwear thermal characteristics on the foot temperature during activities of daily living, like walking or jogging. The transient heat transfer between the foot and the ground was studied to drive the governing equation for heat transfer modelling in footwear and to predict foot sole temperature during walking, and jogging. Different thermo-mechanical properties of shoe sole, as well as geometrical parameters, were investigated. The proposed model showed to be able to adequately predict the plantar temperature at the ball of the foot when compared to the results from experimental measurements. Finally, using the proposed method, the thermal behaviour of two different shoes with two different sole materials EVA08 and EVA12 were compared. It was shown that heat capacity as compared to the thermal conductivity of the shoe sole is more effective in reducing the plantar temperature increase in short term. The proposed method proved to be able to accurately predict the thermal behaviour of shoes and can provide a tool to predict footwear thermal comfort.

摘要

在日常生活活动中,脚部温度会影响人体表现和舒适度。鞋类的热特性会影响日常生活活动中鞋内的脚部温度。足底温度(足底温度)受到不同热特性的影响,例如鞋跟的热容、热扩散率和导热率以及其机械特性。因此,本研究的目的是提出一种方法,以研究鞋类热特性对日常生活活动(如步行或慢跑)中脚部温度的影响。研究了脚与地面之间的瞬态热传递,以驱动鞋类传热建模的控制方程,并预测步行和慢跑时的足底温度。研究了鞋跟的不同热机械性能以及几何参数。与实验测量结果相比,所提出的模型显示能够充分预测足弓处的足底温度。最后,使用所提出的方法,比较了两种不同鞋底材料 EVA08 和 EVA12 的两种不同鞋子的热行为。结果表明,与鞋跟的导热系数相比,热容更能有效降低短期足底温度升高。所提出的方法被证明能够准确预测鞋子的热行为,并可为预测鞋子的热舒适性提供工具。

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