中密度纤维板非稳态热传导解析及数值模拟

Analytical solution and FEM simulation of transient heat transfer for the heating of medium density fiberboard

基于无限大平板模型的非稳态热传导理论,推导了适用于中密度纤维板试件在空气介质加热条件下的温度场和达到目标温度加热时间的解析方程,采用ANSYS有限元软件对加热过程进行了有限元建模和模拟分析。验证试验分别测试研究了介质温度、试件厚度和幅面尺寸对温升行为的影响,并与解析法和有限元模拟法获得的结果进行了比较。结果表明,理论解析法和有限元模拟得到的温升曲线与实测温升曲线吻合,试件达到目标温度时间与实测值相比最大误差为2.0%,验证了解析解和有限元模型的有效性。

An analytical solution based on infinite flat plate theory of transient heat transfer for medium density fiberboard（MDF） heating in hot air was established.The temperature fields and equations to estimate heating time were derived.FEM modeling and simulations were conducted using ANSYS software.A series of field tests,in which the effects of different environment temperatures,thicknesses and sizes of the samples,and positions on temperature responses were considered,were carried out to verify the results obtained by the analytical and FEM simulation.The results show that the temperature responses by the analytical solution and FEM simulation agreed well with the actually measured results.The elapsed time to reach the equilibrium temperature obtained by the analytical and FEM methods is close to that measured by the field tests.