Abstract
In this paper, Cu–water nanofluid flow analysis between two parallel palates is investigated using a differential transformation method (DTM) and numerical method. The effective thermal conductivity and viscosity of nanofluids are calculated by the Maxwell–Garnetts (MG) and Brinkman models, respectively. For increasing the accuracy of DTM, Padé approximation is applied. Comparison between the DTM-Padé and numerical method shows that Padé with order [6,6] can be an exact and high efficiency procedure for solving these kinds of problems. The influence of the nanofluid volume fraction (φ), Eckert number (Ec), squeeze number (S) and Prandtl number (Pr) on the Nusselt number (Nu), non-dimensional temperature and velocity profiles are investigated. The results indicated for the case of squeezing flow that the Nusselt number increases with the increase of the nanoparticle volume fraction, Eckert number and squeeze number.
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