In this study, the steady laminar mixed convection boundary layer flow of a nanofluid near the stagnation-point on a vertical plate with prescribed surface temperature is investigated. Here, both assisting and opposing flows are considered and studied. Using appropriate transformations, the system of partial differential equations is transformed into an ordinary differential system of two equations, which is solved numerically by shooting method, coupled with Runge-Kutta scheme. Three different types of nanoparticles, namely copper Cu, alumina Al 2 O 3 and titania TiO 2 with water as the base fluid are considered. Numerical results are obtained for the skin-friction coefficient and Nusselt number as well as for the velocity and temperature profiles for some values of the governing parameters, namely, the nanoparticle volume fraction parameter ߶ and mixed convection parameter λ It is found that the highest rate of heat transfer occurs in the mixed convection with assisting flow while the lowest one occurs in the mixed convection with opposing flow. Moreover, the skin friction coefficient and the heat transfer rate at the surface are highest for copper-water nanofluid compared to the alumina-water and titania-water nanofluids.
The aim of this work was to investigate Stress Concentration Factor (SCF) variations induced by adding of holes in a perforated base plate subjected to uniaxial tension load, using Finite Element Method (FEM). Analyses were applied in 2D for different diameters, orientation angels and distances of added holes from the base hole. A parametric model in ANSYS finite element software was used to calculate the SCFs and the differences between SCFs have been shown in various graphs. To investigate the variation of SCF in perforated base plate, two holes with the same diameter were located symmetrically to the longitudinal axis with different angles and distances from the base hole. The results showed that by adding holes with a proper diameter, orientation angles and distances from the base hole, the SCFs can be reduced. Using the obtained graphs and corresponding to the base hole diameter the most adequate diameter and its position was determined. Obtained results for special statuses had a good agreement with the graphs of Peterson’s stress concentration factors.
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