Abstract

In this paper, thermal-flow boundary layer of single-phase Nanofluid over a horizontal cylinder tube under magnetic force is investigated using Optimal Collocation Method (OCM) and numerical method. After presenting the governing equations and solving them by OCM, the accuracy of results is examined by fourth order Runge–Kutta numerical method. The boundary conditions contain infinite condition due to stretching cylinder, thus it needs to a powerful analytical method to solve it. OCM which is firstly introduced by authors is the simple/powerful method for this analysis. Effects of different nanoparticles (TiO2, Cu and Ag) are investigated on the temperature/velocity profiles as well as Nusselt number and boundary layer thickness. Additionally, the influence of relevant parameters such as the magnetic parameter, the solid volume fraction of nanoparticles on the flow, heat transfer, Nusselt number and skin friction coefficient is discussed.

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