The present paper is concerned with the results of the numerical investigation of unsteady laminar, natural convection in an asymmetrically heated inclined open channel (i = 0, 45, 60 and 75◦) with walls at uniform heat flux (qw = 10, 50, 75 and 100W ·m−2). Two methodological approaches have been adopted to in-vestigate the air flow in this case: 2D and 3D DNS, and four sets of inlet-outlet velocity-pressure boundary conditions have been considered. Significant differ-ences are observed in the flow dynamics between 2D and 3D results. The numerical results are compared with the experimental data and a good agreement is obtained when a local pressure boundary condition is applied at the inlet/outlet sections in the 3D case. A generalized corr...