**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30576

##### Analysis of Three-Dimensional Longitudinal Rolls Induced by Double Diffusive Poiseuille-Rayleigh-Benard Flows in Rectangular Channels

**Authors:**
K. Bouhadef,
O. Rahli,
N. Mimouni,
R. Bennacer

**Abstract:**

**Keywords:**
Heat and Mass Transfer,
mixed convection,
poiseuille-rayleigh-benard flow,
rectangular duct

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1125837

**References:**

[1] M. Hasnaoui, E. Bilgen, P. Vasseur, and L. Robillard, Mixed convective heat transfer in a horizontal channel heated periodically from below, Num. Heat Transfer, Part A 20, pp. 297-315, 1991.

[2] S. Q. Zhang, and A.V. Tangborn, Flow regimes in two-dimensional mixed convection with spatially periodic lower wall heating, Phys. Fluids, Vol. 6, pp. 3285-3293, 1994.

[3] N.K. Ingle, and T.J. Mountziaris, The onset of transverse recirculations during flow of gases in horizontal ducts with diferentially heated lower walls, J. Fluid Mech. Vol. 277, pp. 249-269, 1994.

[4] X. Nicolas, A. Benzaoui, and S. Xin, Numerical simulation of thermoconvective flows and more uniform depositions in a cold wall rectangular APCVD reactor. J.of Crystal Growth, Vol. 310, pp. 174-186, 2008.

[5] P. Talukdar, S.O. Olutmayin, O.F. Osanyintola, and C.J. Simonson, An experimental data set for benchmarking 1D, transient heat and moisture transfer models of porous building materials. Part I. Experimental facility and material property data, Int. J. Heat Mass Transfer, Vol. 50, pp. 4527-4539, 2007.

[6] P. Talukdar, O. F. Osanyintola, S. O. Olutmayin, and C. J. Simonson, An experimental data set for benchmarking 1-D, transient heat and moisture transfer models of porous building materials. Part II. Experimental, numerical and analytical data, Int. J. Heat Mass Transfer, Vol. 50, pp. 4915-4926, 2007.

[7] G. Luo, S.P. Vanka, and N. Glumac, Fluid flow and transport processes in a large area atmospheric pressure stagnation flow CVD reactor for deposition of thin films, Int. J. of Heat and Mass Transfer, Vol. 47, pp. 4979-4994, 2004.

[8] D. Brunt, Experimental cloud formation, in: Compendium of Meteorology, American Meteorological Society, Boston, pp. 1255-1262, 1951.

[9] X. Nicolas, Bibliographical review on the PRB flows, Int. J. of Thermal Science, Vol. 41, pp. 961-1016, 2002

[10] J.N. Lin, F.C. Chou, W.M. Yan, P.Y. Tzeng, Combined buoyancy effects of thermal and mass diffusion on laminar forced convection in the thermal entrance region of horizontal square channels, Can. J. Chem. Enging., Vol. 79, pp. 681-689, 1992.

[11] W. M. Yan, Mixed convection heat and mass transfer in inclined rectangular ducts, lnt J. Heat Mass Transfer. Vol. 37, No. 13, pp. 1857-1866, 1994.

[12] M.Y. Chang and T.F. Lin, Experimental study of aspect ratio effects on longitudinal vortex flow in mixed convection of air in a horizontal rectangular duct, Int. J. Heat Mass Transfer, Vol. 41, pp. 719-733, 1998.

[13] W. M. Yan, Combined buoyancy effects of thermal and mass diffusion on laminar forced convection in horizontal rectangular ducts, lnt J. Heat Mass Transfer. Vol. 39, No. 7, pp. 1479-1488, 1996.

[14] T. C. Papanastasiou, N. Malamataris and K. Ellwood, A new outflow boundary conditions. Int. J. Num Meth Fluids, Vol. 14, pp. 587-608, 1992.

[15] A. Benzaoui, X. Nicolas, and S. Xin, Efficient vectorized finite difference method to solve the incompressible Navier-Stokes equations for 3D mixed convection flows in high aspect ratio channels, Numerical Heat TransferB, Vol. 48, pp 277-302, 2005.

[16] B.P. Leonard and S. Mokhtari, Beyond first order upwinding: the ULTRA-SHAP alternative for non-oscillatory steady-state simulation of convection, Int. J. Numerical Methods Eng., Vol. 30, pp. 729-766, 1990.

[17] S.V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980.

[18] H.L. Stone, Iterative solution of implicit approximations of multi-dimensional partial differential equations, SIAM J. Numer. Analysis, Vol.5, pp. 530-558, 1968.

[19] M. Hortmann, M. Peric, and G. Scheuerer, Finite volume multigrid prediction of laminar natural convection: bench-mark solutions, Int. J. Numer. Methods in fluids, Vol. 11, pp. 189-207, 1990.

[20] O. Rahli, R. Bennacer, K. Bouhadef, and D. E. Ameziani, Three-Dimensional Mixed Convection Heat and Mass Transfer in a Rectangular Duct : Case of Longitudinal Rolls, Numerical Heat Transfer, Part A : Applications, 59 : 5, 349-371, 2011.

[21] N. Mimouni, R. Bennacer, S. Chikh and O. Rahli, Limitation of parallel flow in double diffusive convection : Two- and three-dimensional transitions in a horizontal porous domain, Physics of Fluids 26, 074105, 2014.