Modelling and analysis of heat transfer through 1D complex granular system

被引：0
作者：
E. Szymanek
T. Blaszczyk
M. R. Hall
P. Keikhaei Dehdezi
J. S. Leszczynski
机构：
[1] Czestochowa University of Technology,Institute of Advanced Energy Technologies
[2] Czestochowa University of Technology,Institute of Mathematics
[3] University of Nottingham,Division of Materials, Mechanics and Structures, Faculty of Engineering
[4] URS Infrastructure and Environment UK Limited,undefined
来源：
Granular Matter | 2014年 / 16卷
关键词：
Heat transfer; Granular material; Fractional differential equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article demonstrates the solution to the problem of the passage of air through the external wall barrier and the influence of the materials type and its layer arrangement on heat conductivity, in respect of building heat losses. It shows how the temperature changes inside the wall barriers and in a room while the external temperature changes. Also, this article presents the mathematical model based on fractional differential equation describing the analysed phenomenon.
引用
收藏
页码：687 / 694
页数：7
相关论文
共 38 条
[1]  
Agrawal OP(2012)A numerical scheme for a class of parametric problem of fractional variational calculus J. Comput. Nonlinear Dyn. 7 021005-1-021005-6
[2]  
Hasan MM(1965)Computing thermal conductivities of rocks from chips and conventional speciments J. Geophys. Res. 70 5227-5239
[3]  
Tangpong XW(2010)Fractional Euler-Lagrange equations—numerical solutions and applications of reflection operator Sci. Res. Inst. Math. Comput. Sci. 2 17-24
[4]  
Beck JM(2011)Numerical solution of fractional oscillator equation Appl. Math. Comput. 218 2480-2488
[5]  
Beck AE(2013)Numerical solution of composite left and right fractional caputo derivative models for granular heat flow Mech. Res. Commun. 48 42-45
[6]  
Blaszczyk T(2014)Numerical solution of fractional Sturm–Liouville equation in integral form Fract. Calc. Appl. Anal. 17 307-320
[7]  
Ciesielski M(2005)Thermal conductivity bounds for isotropic, porous materials Int. J. Heat Mass Transf. 48 2150-2158
[8]  
Blaszczyk T(1998)Lattice Boltzmann method for fluid flows Annu. Rev. Fluid Mech. 30 329-364
[9]  
Ciesielski M(2002)Application of fractional calculus to the sound waves propagation in rigid porous materials: validation via ultrasonic measurement Acta Acust. 88 34-39
[10]  
Klimek M(1994)Flow of granular materials down a vertical pipe Int. J. Non-Linear Mech. 29 1-12
1234