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The analytical solution for the flow and heat transfer of a nanofluid over a nonlinearly stretching sheet

Sun Yina, Si Xinhui, Shen Yanan, Zheng Liancun

Abstract



This paper investigates the steady, laminar boundary fluid flow over a nonlinear stretching of a flat surface analytically. By introducing a suitable transformation, the governing equations are reduced to a couple nonlinear differential equations. The asymptotic solutions are obtained by using the double-parameter transformation perturbation expansion method and Pade approximants technique. The effects of thermophoresis number Nt, Brownin motion number Nb, Prandtl number Pr, Lewis number Le and stretching parameter n on the velocity, temperature and concentration are discussed and shown graphically. Comparison with the numerical results obtained by bvp4c (a matlab function which can solve boundary value problems for ordinary differential equations) is presented and it is found that the approximate solution agrees very well with the numerical solution.

Keywords


nanofluid, asymptotic expansion, heat and mass transfer, Pade approximation.

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