................................................................................................................................................ 4 Introduction ........................................................................................................................................... 4 Literature Review ................................................................................

The problem of laminar, natural convection flow over a slender frustum of a cone is treated in this paper. The governing differential equations are solved by a combination of quasi-linearization and finite-difference methods. Numerical solutions are obtained for Pr = 0.7 and for a range of values of the transverse curvature parameter. It is shown that the effect of transverse curvature is of gr...

Laminar and turbulent natural convection inside concentric spherical shells with isothermal cold and hot boundaries is numerically investigated up to Rayleigh number values Ra 6 10 and Pr = 0.71. The study utilizes direct numerical simulation (DNS), large eddy simulation (LES) and Reynolds averaged Navier– Stokes (RANS) approaches for investigation of the laminar, transitional and fully develop...

The method of extended perturbation series is applied to solve for laminar natural convection from an isothermal, thin vertical cylinder. The series in terms of the transverse curvature parameter ~ extended to five terms and is subsequently improved by applying the Shanks transformation twice. The validity of the solution is extended up to ~ = 10 and possibly even beyond. Up to = 10, the result...

in present paper, a numerical analysis for a rectangular cavity filled with a anisotropic porous media has been studied. it is assumed that the horizontal walls are adiabatic and impermeable, while the side walls of the cavity are maintained at constant temperatures and concentrations. the buoyancy force that induced the fluid motion are assumed to be cooperative. in the two extreme cases of he...

This paper introducing a review of the recent three-dimensional numerical and experimental researches on laminar natural convection heat transfer inside cavities. Focusing previous research’s cavity geometry specially regular shapes both simple or complex shapes. A wide variety geometries which having different inclinations, inserted bodies boundary conditions were presented discussed. The work...

The entropy generation during transient laminar natural convection in a square enclosure is numerically investigated. Two different cases are considered. The enclosure is heated either completely or partially from the left side wall and cooled from the opposite side wall. The bottom and the top of the enclosure are assumed as insulated. The Boussinesq approximation is used in the natural convec...

Natural convection in an inclined rectangular cavity filled with air is numerically investigated. The cavity is heated and cooled along the active walls whereas the two other walls of the cavity are adiabatic. Entropy generation due to heat transfer and fluid friction has been determined in transient state for laminar natural convection by solving numerically: the continuity, momentum and energ...

Numerical studies were conducted using Lattice Boltzmann Method (LBM) to study the natural convection in a square cavity in the presence of roughness. An algorithm based on a single relaxation time Bhatnagar-Gross-Krook (BGK) model of Lattice Boltzmann Method (LBM) was developed. Roughness was introduced on both the hot and cold walls in the form of sinusoidal roughness elements. The study was ...