Suction and injection effect on magnetohydrodynamic fluid flow within a vertical annulus for electrical wire cooling

In this article, natural convection of MHD fluid flow within a vertical annulus is investigated in existence of radial magnetic field and heat generation or absorption. As an innovation effect of suction and injection has been considered in the velocity and temperature equations. governing equations are solved by Akbari-Ganji's analytical method (AGM) and results are compared with numerical method (Runge-Kutta 4th) and LSM method (least square method) for purpose of showing the accuracy of AGM. Studies were performed for various parameters such as: suction and injection parameter (S), heat generation or absorption (H) and Hartmann number (M) under two boundary conditions isothermal and constant heat flux. Results indicate that with increasing heat generation velocity, temperature and mass flow rate in both boundary conditions are increase while opposite trend are observed for increasing heat absorption. velocity of fluid decreases when Hartmann number increase. Also, it is explained that Nusselt number increases with suction and heat absorption parameters and decreases with injection and heat generation parameters. Phenomenon and parameters studied in this work can give a good insight for cooling electronic equipment such as wire cooling.