<p>This study is an in-depth look at previous investigations on heat transfer analysis in trapezoidal enclosures. It intends to give a full picture of flow and heat transfer performance in these types of cavities in two different configurations: one filled with nanofluids and the other with a mix of nanofluids. Thermophoresis, magnetic forces, and the buoyancy effect are examples of the factors that are considered in this investigation of heat transport in cavities. In addition, only single-phase flows are included in this study, which emphasizes on flow and heat transfer processes. The review has covered 35 published research between 2011 and 2024, with detailed discussion of heat transfer analysis in lid-driven trapezoidal enclosures. The most significant conclusions of this research are that, for each type of fluid, an inclination of the magnetic field considering the horizontal axis results in the maximum heat and mass transfer in addition to the highest average total entropy production. It is also ascertained that the efficiency of the magnetic field application can be improved when the coefficients for heat absorption and heat production are higher. Finally, larger nanoparticle sizes and a larger radius for the revolving cylinder would improve flow circulation in the area immediately around the cylinder. The results of this research have wide-ranging implications, for example solar thermal technology, electronic cooling and energy storage and nuclear reactors.</p>