Abstract
The main feature of the boundary layer flow problems of nanofluids or classical fluids is the inclusion of the boundary conditions at infinity. Such boundary conditions cause difficulties for any of the seriesmethods when applied to solve such a kind of problems. In order to solve these difficulties, the authors usually resort to either Pad'e approximants or the commercial numerical codes. However, an intensive work is needed to perform the calculations using Pad'e technique. Due to the importance of the nanofluids flow as a growing field of research and the difficulties caused by using Pad'e approximants to solve such problems, a suggestion is proposed in this paper tomap the semi-infinite domain into a finite one by the help of a transformation. Accordingly, the differential equations governing the fluid floware transformed into singular differential equationswith classical boundary conditionswhich can be directly solved by using the differential transformation method. The numerical results obtained by using the proposed technique are compared with the available exact solutions, where excellent accuracy is found. The main advantage of the present technique is the complete avoidance of using Pad'e approximants to treat the infinity boundary conditions.