Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity

doi:10.1007/s10483-017-2155-6

Abstract

Abstract:

The heat transfer of a magnetohydrodynamics nanofluid inside an annulus considering the second-order slip condition and nanoparticle migration is theoretically investigated. A second-order slip condition, which appropriately represents the non-equilibrium region near the interface, is prescribed rather than the no-slip condition and the linear Navier slip condition. To impose different temperature gradients, the outer wall is subjected to q₂, the inner wall is subjected to q₁, and q₁>q₂. A modified two-component four-equation non-homogeneous equilibrium model is employed for the nanofluid, which have been reduced to two-point ordinary boundary value differential equations in the consideration of the thermally and hydrodynamically fully developed flow. The homotopy analysis method (HAM) is employed to solve the equations, and the h-curves are plotted to verify the accuracy and efficiency of the solutions. Moreover, the effects of the physical factors on the flow and heat transfer are discussed in detail, and the semi-analytical relation between N_uB and N_BT is obtained.

Key words: second-order slip, semi-analytical relation, nanoparticle migration, homotopy analysis method (HAM), nanofluid

2010 MSC Number:

O241.81

Jing ZHU, Shengnan WANG, Liancun ZHENG, Xinxin ZHANG. Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity. Applied Mathematics and Mechanics (English Edition), 2017, 38(1): 125-136.

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