摘要
基于非傅里叶热传导理论,分别从频域和时域分析了球对称瞬态热传导问题。频域求解时,采用Laplace变换结合状态空间法以及层合近似模型,过程清晰统一。时域求解时采用了分离变量法和叠加法,能减小数值反变换所带来的误差。数值算例比较了两种方法的计算效果,结果表明时域法可清晰捕捉热波传播过程中的前沿波阵面。
Based on the non-Fourier heat conduction theory,the spherically symmetric transient heat conduction problem is analyzed in both frequency domain and time domain.By using the Laplace transform and the state-space formula in the frequency domain along with the laminated approximation model,the time responses are obtained numerically through the inverse Laplace transform.This approach is straightforward and with a unified form.For the analysis in the time domain,a combination of the method of separation of variables and the superposition method is adopted,without requiring the numerical inverse Laplace transform.Numerical results indicate that the analysis in the time domain can clearly capture the wave front of the thermal waves.
作者
刘承斌
龚顺风
王惠明
Liu Chengbin;Gong Shunfeng;Wang Huiming(Department of Civil Engineering,Zhejiang University,Hangzhou 310058,China;Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China)
出处
《力学与实践》
北大核心
2021年第2期212-218,共7页
Mechanics in Engineering
基金
国家自然科学基金(11772296)
浙江省公益技术应用研究项目(LGG21E030007)资助。
关键词
非傅里叶理论
球壳
瞬态热传导
频域法
时域法
non-Fourier theory
spherical shell
transient heat conduction
frequency domain method
time domain method
