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Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation 被引量:2
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作者 Ting-Hui Ning Xiao-Yun Jiang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第6期994-1000,共7页
In this paper,using the fractional Fourier law,we obtain the fractional heat conduction equation with a time-fractional derivative in the spherical coordinate system.The method of variable separation is used to solve ... In this paper,using the fractional Fourier law,we obtain the fractional heat conduction equation with a time-fractional derivative in the spherical coordinate system.The method of variable separation is used to solve the timefractional heat conduction equation.The Caputo fractional derivative of the order 0 〈 α≤ 1 is used.The solution is presented in terms of the Mittag-Leffler functions.Numerical results are illustrated graphically for various values of fractional derivative. 展开更多
关键词 Fractional Fourier law Fractional heat conduction equation - Spherical coordinate system - The separation of variables Mittag-Leffler function
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Synthesis of PS/Ag asymmetric hybrid particles via phase separation and self-assembly 被引量:1
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作者 Xinlong Fan Qiuyu Zhang +4 位作者 Hepeng Zhang Baoliang Zhang Chunmei Li Xiangjie Li Xingfeng Lei 《Particuology》 SCIE EI CAS CSCD 2013年第6期768-775,共8页
This article presents a facile approach to preparation of polystyrene/silver (PS/Ag) asymmetric hybrid par- ticles. In this method, polystyrene/polyglycidyl methacrylate (PS/PGMA) Janus particles were synthesized ... This article presents a facile approach to preparation of polystyrene/silver (PS/Ag) asymmetric hybrid par- ticles. In this method, polystyrene/polyglycidyl methacrylate (PS/PGMA) Janus particles were synthesized via internal phase separation triggered by evaporation of dichloromethane (DCM) from PS/PGMA/DCM- in water emulsion droplets. Then, the Janus particles were aminated and sequentially carboxylated to obtain PS/PGMA-NH2 and PS/PGMA-COOH particles. Ag+ self-assembled on the surface of PGMA hemi- sphere of the functionalized PS/PGMA particles by coordinating with amine/carboxyl. PS/Ag asymmetric hybrid particles with 7.29 wt% of Ag were obtained by reduction of Ag+, Scanning electron microscopy, energy-dispersive X-ray spectroscopy and transmission electron microscopy results confirmed that Ag was asymmetrically distributed on the surface of polymer particles. 展开更多
关键词 Phase separation Interracial interaction Amination Carboxylation Coordination Self-assembly
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