The Adomian decomposition method for the slip flow and heat transfer of nanofluids over a stretching/shrinking sheet

摘要

In this paper, the problem of heat transfer of the boundary layer nanofluid flow over a stretching and a shrinking sheet has been investigated in the presence of the suction and the slip parameters. In the case of stretching sheet, the current exact results for the heat transfer rate (in the absence of some parameters) have been compared with the numerical ones in the literature, where some differences are found. In the presence of the slip parameter and no suction, the present results by using a few components of Adomian's series agree with those of the homotopy analysis method in the literature. In the case of shrinking sheet, the exact dual solution is obtained in a special case, while the approximate dual solution has been obtained in the general case by Adomian's method. In addition, the effects of the suction, the slip, the Brownian motion parameter, and the thermophoresis parameters on the dual velocity, the dual temperature, and the dual nano-particle concentration have been discussed through graphs.