A numerical study of the natural convection of the laminar heat transfers in the stationary state was developed in a horizontal ring and compared between a heated trapezoidal internal cylinder and a cold elliptical outer cylinder. This annular space is traversed by a Newtonian and incompressible fluid. The Prandtl number is set to 0.7 (air case) for different Rayleigh numbers. The system of equ...

In this paper, we study various dissipative mechanics associated with the Boussinesq systems which model two-dimensional small amplitude long wavelength water waves. We will show that the decay rate for the damped one-directional model equations, such as the KdV and BBM equations, holds for some of the damped Boussinesq systems.

The 2D incompressible Boussinesq system with partial or fractional dissipation have recently attracted considerable attention. In this paper, we study the Cauchy problem for the 2D Boussinesq system in a periodic domain with fractional vertical dissipation in the subcritical case, and we prove the global well-posedness of strong solutions. Based on this, we also discuss the existence of the glo...

the assumptions considered in developing the saint-venant equations limit their application in many practical situations. the modified boussinesq equation was presented to overcome the limitation imposed by saint-venant equation due to the presence of non-hydrostatic pressure distribution and steep slope. in this paper a computational model was developed for solving the modified and the traditi...

subsurface drainage systems are used to control the depth of the water table and to reduce or prevent soil salinity. water flow in these systems is described by the boussinesq equation, and the advection-dispersion equation coupled with the boussinesq equation is used to study the solute transport. the objective of this study was to propose a finite difference solution of the advection-dispersi...

Magnetic buoyancy instability, which is of astrophysical importance, results from the influence magnetic pressure variations on density a fluid in gravitational field. It inherently compressible phenomenon and is, as such, fully described by equations magnetohydrodynamics (MHD). For analytical computational reasons, it often convenient to study MHD within simpler, asymptotically consistent redu...

The linear stability of the axisymmetric steady thermocapillary flow in a liquid bridge made from 2 cSt silicone oil (Prandtl number 28) is investigated numerically framework Boussinesq approximation. and temperature fields surrounding gas phase (air) are taken into account for generic cylindrical container hosting bridge. flows fully coupled across hydrostatically deformed liquid–gas interface...

This paper deals with a numerical study of free convection in horizontal cylindrical annulus filled fluidsaturated porous medium the presence transverse magnetic field and heat generation or absorption effect. It is assumed that inner outer walls are maintained at constant temperatures Ti To , respectively, as > . In addition to equation, model consists equation motion under Darcy law Boussines...