Flow and heat transfer of nanofluid with injection through an expanding or contracting porous channel under magnetic force field

This present study considers flow and heat transfer of nanofluid, conveyed through expanding or contracting porous channel under uniform magnetic field. Influence of magnetic field on flow and heat transfer with injection is investigated. The nanofluid is described by high order coupled nonlinear equations of the fourth order, analyzed utilizing the homotopy perturbation method (HPM). Analytical solutions obtained are adopted in describing the effect of various thermal-fluidic parameters such as Reynolds number, Hartmann parameter and temperature power index. Results reveal increasing Hartmann parameter causes increase in skin fluid friction effect while increasing temperature power index leads to increasing Nusselt number effect. Also comparison of obtained analytical solution against previous literatures shows satisfactory agreement. This study provides good insight to practical applications such as nanofluidics, energy conservation, friction reduction and power generation.