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Green's function method (GFM) and mathematical solution for coupled equations of transport problem during convective drying

机译:对流干燥过程中传递问题耦合方程的格林函数法(GFM)和数学解

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摘要

A one-dimensional unsteady state mathematical model of coupled heat and mass transfer equations is accomplished to simulate the convective drying of cylindrical quince slices with axis parallel to the hot air flow. The semi-analytical proposed solution method considers fundamentals of the convective drying process and takes internal resistances to temperature and moisture content into account. Green's function method (GFM) is used due to existence of time dependent boundary conditions. In the present study, unlike classic problems, evaporation term initiate a strong coupling between heat and mass transfer equations and therefore in the present study the basic idea of numerical solutions which is repetition and correction, is used to present a novel analytical solution and correct it. In addition the effects of Biot number and relative humidity on drying kinetics are investigated. The agreement between published experimental results and model predictions is remarkable. (C) 2016 Elsevier Ltd. All rights reserved.
机译:建立了耦合传热和传质方程的一维非稳态数学模型,以模拟轴向平行于热气流的圆柱形木瓜片的对流干燥。提出的半分析解决方案方法考虑了对流干燥过程的基本原理,并考虑了对温度和水分含量的内在阻力。由于存在时间相关的边界条件,因此使用了格林函数方法(GFM)。在本研究中,与经典问题不同,蒸发项引发了传热和传质方程之间的强耦合,因此,在本研究中,数值解的基本思想(重复和修正)用于提出新的解析解并对其进行修正。 。此外,还研究了比奥数和相对湿度对干燥动力学的影响。已发表的实验结果与模型预测之间的一致性非常显着。 (C)2016 Elsevier Ltd.保留所有权利。

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