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In this paper, we have investigated the effects of nanoparticles on the flow and heat transfer of viscous fluid in a deformable porous channel. The mathematical model used for the nanofluid is Buongiorno model, which combines the Brownian diffusion and thermophoresis effects. Water is used as a base fluid. Mathematically, the problem is formulated for the flow of nanofluid generated by the expanding/contracting walls of the channel and an analytic solution using homotopy analysis method for the field quantities is presented. The numerical results are also calculated using parallel shooting method. A comparison is made of the analytic results with the numerical one to ensure the correctness of the analytic results. The effects of Brownian and thermophoresis diffusion due to nanoparticles and effect of deformation of boundaries on various physical quantities are analyzed. It is observed that the velocity is higher for expansion of the nanoparticles as compared to contraction. Also the nanoparticles increases the heat flux and decreases the mass flux. The concentration flux is higher for thermophoretic diffusion in the expanding channel.

Flow of a Nanofluid and Heat Transfer in Channel With Contracting/Expanding Walls