热冲击空心柱内温度场的非傅里叶效应研究

NON-FOURIER HEAT CONDUCTION IN THE HOLLOW CYLINDER SUBJECTED TO BOUNDARY THERMAL SHOCK

超急速传热条件下出现的非傅里叶传热效应因其具有重要的学术意义和巨大的应用潜力,正成为传热领域的研究热点之一。在评述前人研究成果的基础上,针对空心柱体内、外表面温度突变这类超急速传热问题,建立带有热松弛时间项的双曲线型导热方程模型,给出方程定解的边界条件和初始条件。采用对坐标的汉克尔积分变换法求解方程,并进行数值模拟;结果表明,热波在空心柱体内部以一定速度传播,热波所到之处引起局部温度突然升高或降低,任意时刻柱体内温度分布均是不连续的,柱体内温度分布局部区域可能高于边界温度,可能低于边界温度,内部温度变化表现出滞后于边界变化。

Non-Fourier heat transfer effect,which is possible to appear in rapid transient heat transfer process,is gradually growing into a new research focus due to its great practical potentiality and academic significance.On the basis of summarizing and commenting other study fruits,Hyperbolic heat conduction for hollow cylinder,together with its boundary and initial conditions,is written in dimensionless form.Equation groups are solved by integral transform of space coordinate.Solutions are shown in graphical curves.Analytical results indicate that instant thermal wave are generated when rapidly heating inner and outer boundary,local temperature rise on thermal wave arrival;up and down of local temperature are results of thermal wave overlapping and phase variation.The temperature distributions of the hollow cylinder are not continuous and inner temperature is higher than the boundaries.