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 $\left(S\right)$, heat generation or absorption $\left(H\right)$ and Hartmann number $\left(M\right)$ 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.

在本文中，研究了在存在径向磁场和热量产生或吸收的情况下，垂直环空内 MHD 流体流动的自然对流。在速度和温度方程中考虑了吸入和注入的创新效应。控制方程通过 Akbari-Ganji 解析法 (AGM) 求解，并将结果与​​数值方法 (Runge-Kutta 4th) 和 LSM 方法(最小二乘法) 进行比较，以显示 AGM 的准确性。对各种参数进行了研究，例如：吸入和注入参数$\left(秒\right)$, 热量产生或吸收 $\left(H\right)$ 和哈特曼数 $\left(米\right)$在两个边界条件下等温和恒定热通量。结果表明，随着发热速度的增加，两个边界条件下的温度和质量流量都增加，而吸热增加的趋势相反。当哈特曼数增加时，流体的速度减小。此外，还解释了努塞尔数随着吸热和吸热参数的增加而增加，而随着注入和发热参数的增加而减少。在这项工作中研究的现象和参数可以很好地了解冷却电子设备，例如电线冷却。