The fluid flow parameters associated with increase or decrease in heat transfer is identified from the literature. Control of heat and mass transfer processes by means of external force effects is one of the most important problems in many specialized process and manufacturing applications. The Lorentz force effect inducing the formation of side layer jets in magnetohydrodynamic flows can potentially result in significant variations of the heat transfer properties. Recent developments in computational modeling and experimental methods have given better understanding in several areas which were indistinct in earlier studies. This study is aimed at reviewing the recently reported developments and consolidating the progress in the area of heat transfer in magnetohydrodynamic flows. This includes natural convective fluid flows due to the combined effect of buoyant and magnetic forces as well as magnetic effects on liquids flowing through conduits of different geometry. The different approaches used are briefly discussed.