Applied Mathematics and Mechanics >
Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction
Received date: 2014-09-16
Revised date: 2015-01-21
Online published: 2015-09-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 51276014 and 51476191) and the Fundamental Research Funds for the Central Universities (No. FRF-BR-12-004)
The effects of the second-order velocity slip and temperature jump boundary conditions on the magnetohydrodynamic (MHD) flow and heat transfer in the presence of nanoparticle fractions are investigated. In the modeling of the water-based nanofluids containing Cu and Al2O3, the effects of the Brownian motion, thermophoresis, and thermal radiation are considered. The governing boundary layer equations are transformed into a system of nonlinear differential equations, and the analytical approximations of the solutions are derived by the homotopy analysis method (HAM). The reliability and efficiency of the HAM solutions are verified by the residual errors and the numerical results in the literature. Moreover, the effects of the physical factors on the flow and heat transfer are discussed graphically.
Jing ZHU, Liu ZHENG, Liancun ZHENG, Xinxin ZHANG . Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction[J]. Applied Mathematics and Mechanics, 2015 , 36(9) : 1131 -1146 . DOI: 10.1007/s10483-015-1977-6
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