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Mathematical Modelling of Convective Drying Process of Women’s Hair in a Saloon

机译:轿车中女性头发对流干燥过程的数学模型

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Drying models are useful in the optimization and control of drying systems to ensure good quality of dried materials. This paper presents a mathematical model for hair drying processes. Specifically, the model is developed for drying processes of women hair in saloons. The modelling is anchored on the conduction-convection heat transfer process, which culminates to the description of the physics of the drying processes; with appropriate boundary conditions being considered. The mathematics of the physics was solved using the method of separation of variable, as it presents itself as the appropriate solution method. The model is able to predict temperature and moisture content distributions of the drying hair; no available experimental data for comparison. However, the trend of results compared well with those of particular case of lump models. Simulations based on this model were conducted to study the effects of operational parameters (namely, air temperature, heat and mass transfer coefficients and thermal diffusivities) on the moisture content and temperature of the hair. Simulation results show that increasing the air temperature and velocity decrease drying rate. It is evident from the simulations that sample with high thermal diffusivity and coefficient of diffusion values exhibits shorter duration of drying.
机译:干燥模型可用于优化和控制干燥系统,以确保干燥物料的良好质量。本文提出了一种用于头发干燥过程的数学模型。具体来说,该模型是针对轿车中女性头发的干燥过程而开发的。该模型基于传导-对流传热过程,最终达到了干燥过程的物理描述。考虑适当的边界条件。物理数学是使用变量分离方法解决的,因为它本身就是一种合适的求解方法。该模型能够预测干燥头发的温度和水分含量分布。没有可供比较的实验数据。但是,结果的趋势与块状模型的特殊情况相比较。进行了基于该模型的仿真,以研究操作参数(即空气温度,传热和传质系数以及热扩散率)对头发水分和温度的影响。仿真结果表明,升高空气温度和速度会降低干燥速率。从模拟中可以明显看出,具有高热扩散率和扩散系数值的样品表现出较短的干燥时间。

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