The effect of thermal asymmetry on forced convection of alumina/water nanofluid in a parallel-plate microchannel in the presence of heat source/sink is theoretically investigated. Walls are subjected to different heat fluxes, qwt′′ for the top wall and qwb′′ for the bottom wall, and nanoparticles are assumed to have a slip velocity relative to the base fluids induced by Brownian motion and thermophoresis. Because of low-dimensional structures in microchannels, a linear slip condition is considered at the surfaces, which appropriately represents the nonequilibrium region near the interface. Considering hydrodynamically and thermally fully developed flow, the basic partial differential equations including the continuity, momentum, energy, and nanoparticle fraction have been reduced to two-point ordinary boundary value differential equations before they have been solved numerically. It is shown that nanoparticles eject themselves from the heated walls, construct a depleted region, and accumulate in the core ...