An analytic study of molybdenum disulfide nanofluids using the modern approach of Atangana-Baleanu fractional derivatives

被引:44
作者
Abro, Kashif Ali [1 ]
Hussain, Mukkarum [1 ]
Baig, Mirza Mahmood [1 ]
机构
[1] NED Univ Engn & Technol, Dept Math, Karachi 75270, Pakistan
来源
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 10期
关键词
FREE-CONVECTION FLOW; INTEGRATED-CIRCUITS; CASSON FLUID; CONDUCTIVITY; TRANSISTORS;
D O I
10.1140/epjp/i2017-11689-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The significance of the different shapes of molybdenum disulfide nanoparticles contained in ethylene glycol has recently attracted researchers, because of the numerical or experimental analyses on the shapes of molybdenum disulfide and the lack of fractionalized analytic approaches. This work is dedicated to examining the shape impacts of molybdenum disulfide nanofluids in the mixed convection flow with magnetic field and a porous medium. Ethylene glycol is chosen as the base fluid in which molybdenum disulfide nanoparticles are suspended. Non-spherically shaped molybdenum disulfide nanoparticles, namely, platelet, blade, cylinder and brick, are utilized in this analysis. The modeling of the problem is characterized by employing the modern approach of Atangana-Baleanu fractional derivatives and the governing partial differential equations are solved via Laplace transforms with inversion. Solutions are obtained for temperature distribution and velocity field and expressed in terms of compact form of M-function, M-b(a)(T). In the end, a figures are drawn to compare the different non-spherically shaped molybdenum disulfide nanoparticles. Furthermore, the Atangana-Baleanu fractional derivatives model has been compared with ordinary derivatives models and discussed graphically by setting various rheological parameters.
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页数:10
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