This review paper provides a comprehensive inspection how the magnetic Prandtl number (Prandtl number
influenced by a magnetic field) and the magnetic force parameter affect convective heat transfer in boundary layers. The investigation delves into the intricate interplay between these parameters and their implications for heat-transfer phenomena. Understanding the influence of magnetic fields on convective heat transfer holds significant importance for diverse engineering applications such as advanced technologies, heat exchangers, and cooling systems. Through a thorough analysis of existing literature, this review offers valuable insights into the complex relationship between the magnetic Prandtl number, the magnetic force parameter, and convective heat transfer in boundary layers. The main novelty of the current review is based on the perception that this review is very beneficial for the readers to establish future work in the field of magneto-material and magneto heat transfer. This review will provide the clear knowledge about the physical significances of the magnetic Prandtl number and magnetic force parameter on chief physical quantities like velocity profile, temperature distribution, skin friction, and heat-transfer rate.