Three-Dimensional Mixed Convection Heat and Mass Transfer in a Rectangular Duct: Case of Longitudinal Rolls

Abstract

This article presents numerical study of 3-D thermosolutale mixed convection (TSMC) in horizontal rectangular channels. The contribution of this work is to characterize the travelling wave's appearance and to generalize the behavior of Poiseuille-Rayleigh-Benard (PRB) systems for a broad range of dimensionless parameters, which control the double diffusive mixed convection. The numerical results consist of analyzing the flow regimes of the steady longitudinal thermoconvectives rolls for the case of purely thermal mixed convection (TMC) and for both thermal and mass transfer (TSMC). The transition from opposed volume forces to cooperating ones at fixed Rayleigh (Ra), Reynolds (Re), and Lewis (Le) numbers, considerably affects the birth and the development of the longitudinal rolls (noted R_//). The heat and mass transfers distribution, presented by the average Nusselt and Sherwood numbers, are also examined.

Acknowledgments

For financial support, we gratefully acknowledge the Algerian Minister of Higher Education and the Franco-Algerian cooperation through the project PHU-TASSILLI N° 08 MDU 742.

Notes

With H1 = 130 × 130 × 42, H2 = 202 × 202 × 42, H3 = 314 × 314 × 42, and H4 = 490 × 490 × 42.