MIXED CONVECTION SIMULATION OF INCLINED LID DRIVEN CAVITY USING LATTICE BOLTZMANN METHOD

• Published in: Iranian Journal of Science and Technology. Transactions of Mechanical Engineering 2011-04, Vol.35 (M1), p.73-73
• Main Authors: Darzi, A A Rabienataj, Farhadi, M, Sedighi, K, Fattahi, E, Nemati, H
• Format: Article
• Language: English
• Subjects: Approximation; Bubbles; Computational fluid dynamics; Computational mathematics; Convection; Cooling; Flow pattern; Fluid flow; Heat transfer; Holes; Inclination angle; Mathematical models; Nuclear reactors; Nusselt number; Rayleigh number; Reynolds number; Richardson number; Simulation; Studies; Velocity; Viscosity; Walls
• ISSN: 2228-6187

Abstract- In this study, the mixed convective heat transfer in a lid driven square cavity at different inclination angles is investigated numerically using lattice Boltzmann method with Boussinesq approximation. The vertical walls of the cavity are insulated, while the bottom (hot wall) and top (cold lid) surface are maintained at a uniform temperature. The study is carried out for Richardson numbers ranging from 0.01 to 10 and an inclination angle of cavity ranging from 90 to 90. These Richardson numbers are selected based on the inclusion of forced, mixed and natural effects. The result shows that the heat transfer rate is independent of the inclination angle for Ri of 0.01, whereas it changes when the Richardson number increases. Moreover, it has been found that this effect is positive for negative angles and negative for positive angles that are due to the effect of buoyancy force on flow field. In addition, the verity of Nusselt number and Richardson number are opposite because the natural convection changes to mixed or forced convection when the Richardson number decreases. Consequently the Nusselt number increases. In recent years the natural and mixed convection in a cavity has been investigated by many researchers [1- 5]. This attempt is due to the fact that heat transfer in a square cavity can be found in many industrial and engineering applications such as electronic component cooling, food drying process, nuclear reactors etc. Moallemi and Jang [6] studied the effect of Prandtl number and Reynolds number on the flow and thermal characteristics of a laminar mixed convection in a rectangular cavity. Prasad and Koseff[7] reported experimental results on mixed convection heat transfer process in a lid-driven cavity for a different Richardson number ranging from 0.1 to 1000. Heat transfer results for mixed convection from a bottom heated open cavity subjected to an external flow studied for a wide range of the governing parameters (i.e., 1 ≤ Re ≤ 2000, 0 ≤ Gr ≤ 106) over cavities with various aspect ratios (A = 0.5, 1, 2 and 4) were reported by Leong et al.[8]. A numerical study was presented by Singh and Sharif [9] to investigate mixed-convective cooling of a two-dimensional rectangular cavity with differentially heated vertical sidewalls. Influence of the Reynolds number, Richardson number, and location of inlet and outlet openings on the flow field and thermal field have been discussed. Their result indicated that maximum cooling efficiency, mini