Fractional single-phase-lagging heat conduction model for describing anomalous diffusion

作     者：T.N.Mishra K.N.Rai 

作者机构：DST-CIMSFaculty of SciencesBHUVaranasiUP 221005India Mathematical SciencesIIT BHUVaranasiUP 221005India 

出 版 物：《Propulsion and Power Research》 (推进与动力（英文）)

年 卷 期：2016年第5卷第1期

页      面：45-54页

学科分类：07[理学] 070101[理学-基础数学] 0820[工学-石油与天然气工程] 0817[工学-化学工程与技术] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0827[工学-核科学与技术] 0802[工学-机械工程] 0703[理学-化学] 0825[工学-航空宇航科学与技术] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0823[工学-交通运输工程] 

主　　题：Single-phase-lagging(SPL)heat conduction model Fractional single-phase-lagging(FSPL)heat conductionmodel Laplace transform Fractional conservation equation Asymptotic behavior Anomalous diffusion 

摘      要：The fractional single-phase-lagging(FSPL)heat conduction model is obtained by combining scalar time fractional conservation equation to the single-phase-lagging(SPL)heat conduction *** on the FSPL heat conduction model,anomalous diffusion within a finite thin film is *** effect of different parameters on solution has been observed and studied the asymptotic behavior of the FSPL *** analytical solution is obtained using Laplace transform *** whole analysis is presented in dimensionless *** examples of particular interest have been studied and discussed in details.