Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

doi:10.1007/s10483-015-1977-6

Abstract

Abstract:

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.

Key words: temperature jump, homotopy analysis method (HAM), heat and mass transfer, velocity slip, magnetohydrodynamic (MHD) flow, nanofluid

2010 MSC Number:

O241.81

Jing ZHU, Liu ZHENG, Liancun ZHENG, Xinxin ZHANG. Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1131-1146.

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