The previous studies related to the thermal-driven flow within enclosures had been summarized in the present work. Various geometries of enclosures like square, rectangular and triangular had been summarized. Besides, enclosures filled with different fluids had been taken into consideration like traditional and nanofluids as well as porous medium, Newtonian and non-Newtonian fluids and multilayer systems. The governing equations of heat transfer and fluid flows had been presented for different cases. Different numerical models like homogeneous, inhomogeneous and thermal non-equilibrium model, Darcy, Darcy extended–Forchheimer model, etc., had been summarized. The influence of various dimensionless parameters like Rayleigh, Darcy, Bejan and Hartmann number, nanofluid loading, diverse thermal cases of the applied boundary conditions, angle of inclination, the number for undulations, the existence of inner body and many others parameters acting and influencing hardly up on both of the entropy generation and the heat transfer was illustrated. The present review illustrates the physical mechanism behind the buoyancy thermally driven flow in terms of figures of contours as well as the Nusselt numbers profiles.<br /><br />