Numerical investigation of transient flow-mode transition of laminar natural convection in an inclined enclosure

Abstract The present work is concerned with a numerical investigation of transient laminar natural convection and the associated flow-mode transition in a two-dimensional rectangular enclosure. Navier-Stokes / Boussinesq equations for fluid flow and energy balance are solved by using the SIMPLE-C algorithm. Air of Pr = 0.71 in a differentially heated enclosure of length-to-height aspect ratio As = 4 and at Ra = 5000 is chosen as the flow model to examine the influences of the inclination. Calculations of time accuracy are performed to investigate the transient procedure of the flow-mode transition with increasing or decreasing inclination, lite present results reveal that, at some critical situations, natural convection in inclined enclosures is very sensitive to the change in tilt angle, and the associated heat transfer rates are closely related to the correspondent cellular flow patterns.

[1]  H. Ozoe,et al.  VARIOUS COMPUTATIONAL CONDITIONS OF OSCILLATORY NATURAL CONVECTION OF ZERO PRANDTL NUMBER FLUID IN AN OPEN BOAT HEATED AND COOLED FROM OPPOSING VERTICAL WALLS , 1993 .

[2]  Kwang-Tzu Yang,et al.  FLOW TRANSITION IN LAMINAR BUOYANT FLOW IN A THREE-DIMENSIONAL TILTED RECTANGULAR ENCLOSURE , 1986 .

[3]  Kwang-Tzu Yang,et al.  Transitions and Bifurcations in Laminar Buoyant Flows in Confined Enclosures , 1988 .

[4]  J. Koster,et al.  Density inversion effect on transient natural convection in a rectangular enclosure , 1994 .

[5]  L. Glicksman,et al.  Transient Natural Convection in Enclosures at High Rayleigh Number , 1991 .

[6]  G. de Vahl Davis,et al.  Natural convection in a square cavity: A comparison exercise , 1983 .

[7]  Ephraim M Sparrow,et al.  Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile , 1964, Journal of Fluid Mechanics.

[8]  G. Merker,et al.  Advanced numerical computation of two-dimensional time-dependent free convection in cavities , 1980 .

[9]  C. Y. Soong,et al.  Numerical study on mode-transition of natural convection in differentially heated inclined enclosures , 1996 .

[10]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[11]  Y. Hayashi,et al.  The effects of thermal conditions on the cell sizes of two-dimensional convection , 1994, Journal of Fluid Mechanics.

[12]  Noam Lior,et al.  Long rolls generated by natural convection in an inclined, rectangular enclosure , 1983 .