Author(s)

Sameh E. Ahmed, A. Mahdy

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt.

A nonsimilarity analysis is performed to investigate the laminar, free convection boundary layer flow over a permeable isothermal truncated cone in the presence of a transverse magnetic field effect. A suitable set of dimensionless variables is used and non-similar equations governing the problem are obtained. Fourth order Runge-Kutta with shooting technique is employed for the numerical solution of the obtained equations. Different water-based nanofluids containing Cu, Ag, CuO, Al₂O₃, and TiO₂ are taken into consideration. The effects of pertinent parameters such as the solid volume fraction of nanoparticles, and magnetic field parameter have been investigated. Furthermore, different models of nanofluid based on different formulas for thermal conductivity and dynamic viscosity on the flow and heat transfer characteristics are discussed. Various comparisons with previously published work for the case of a vertical plate are performed and the results are found to be in excellent agreement.

Nanofluid; Truncated Cone; Magnetic Field; Natural Convection; Non-Similarity Solution

S. Ahmed and A. Mahdy, "Natural Convection Flow and Heat Transfer Enhancement of a Nanofluid past a Truncated Cone with Magnetic Field Effect," World Journal of Mechanics, Vol. 2 No. 5, 2012, pp. 272-279. doi: 10.4236/wjm.2012.25033.