Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure

• Published in: International communications in heat and mass transfer Vol. 38; no. 10; pp. 1436 - 1442
• Main Authors: Bararnia, H., Soleimani, Soheil, Ganji, D.D.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.12.2011; Elsevier
• Subjects: Applied sciences; Computational fluid dynamics; Convection and heat transfer; Cylinders; Elliptic cylinder; Energy; Energy. Thermal use of fuels; Exact sciences and technology; Fluid dynamics; Fluid flow; Fundamental areas of phenomenology (including applications); Heat transfer; Isotherms; Laminar flows; Laminar flows in cavities; Lattice Boltzmann method; Lattices; Mathematical models; Natural convection; Physics; Rayleigh number; Square enclosure; Theoretical studies. Data and constants. Metering; Turbulent flows, convection, and heat transfer; Walls; Natural convection; Lattice Boltzmann method; Square enclosure; Elliptic cylinder; Temperature distribution; Boltzmann equation; Streamlines; Digital simulation; Lattice model; Horizontal cylinder; Modelling; Elliptical cylinder; Cavity flow; Square section; Heat transfer
• ISSN: 0735-1933; 1879-0178
• DOI: 10.1016/j.icheatmasstransfer.2011.07.012

Natural convection between a square outer cylinder and a heated elliptic inner cylinder has been studied numerically. The inner and outer walls are maintained at temperatures T h and T c , respectively, with T h > T c . Lattice Boltzmann method (LBM) has been used to investigate the hydrodynamic and thermal behaviors of the fluid at various vertical positions of the inner cylinder for different Rayleigh numbers ranging from 10 3 to 10 6. The results show that streamlines, isotherms, and the number, size and formation of the cells strongly depend on the Rayleigh number and the position of inner cylinder. The changes in heat transfer quantities have also been presented.