Numerical Investigation Of Natural Convection In An Asymmetrically Heated Inclined Channel-chimney Systems. Importance Of The Choice Of Artificial Inlet-outlet Boundary Conditions

Abstract

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 (q w = 10, 50, 75 and 100W • m −2 ). Two methodological approaches have been adopted to investigate the air flow in this case: 2D and 3D DNS, and four sets of inlet-outlet velocity-pressure boundary conditions have been considered. Significant differences 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 correlation for the average Nusselt number is then obtained from numerical results. This correlation covers a wide range of the Rayleigh number and aspect ratio values (Ra H varying from 5.89 × 10 9 to 5.89 × 10 10 and 6.5 < H/b < 12.8).