Numerical simulations of the interaction internal solitary waves (ISWs) opposite polarity are conducted by solving incompressible Euler equations under Boussinesq approximation. A double-pycnocline stratification is used. method to determine when ISWs both polarities exist also presented. The confirm previous work that same soliton-like; however, here it shown a fast ISW with as Korteweg–de Vri...

In this paper, the linear stability of sand waves sheared by a turbulent flow is analyzed. The velocity distribution in streamwise direction considered to follow logarithmic law. modified pressure owing streamline curvature induced employed formulation. derived using Boussinesq approximation for variation over depth. model coupled with sediment transport study waves. Both modes as bedload and s...

The stability of buoyant flows occurring in the mixed convection regime for a viscous fluid horizontal plane-parallel channel with adiabatic walls is investigated. basic flow features parallel velocity field under stationary state conditions. There exists duality flows, every prescribed value mass rate across cross-section, caused by combined actions dissipation and buoyancy force. As pointed o...

A disc-type winding of an oil-immersed power transformer is modeled with Computational Fluid Dynamics. Different approaches are implemented to evaluate the feasibility Boussinesq approximation: (i) constant fluid properties, (ii) variable viscosity and thermal diffusivity (iii) temperature-dependent properties. Temperature flow distributions reconstructed put into relation physical phenomena mo...

We consider robust output regulation of a partial differential equation model describing temperature evolution in room. More precisely, we examine two-dimensional room with the velocity field and governed by incompressible steady state Navier-Stokes advection-diffusion equations, respectively, which coupled together form simplification Boussinesq equations. assume that control observation opera...

In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include Jacobi elliptic doubly periodic type, Weie...

Abstract. We consider the convection problem of a fluid with viscosity depending on temperature in either a bounded or an exterior domain Ω⊂R ,N =2,3. It is assumed that the temperature is transported without thermal conductance (dissipation) by the velocity field which is described by the Navier-Stokes flow. This model is commonly called the Boussinesq system with partial viscosity. In this pa...

A family of Boussinesq systems has been proposed in [8] to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investigate the boundary stabilization of the generalized higher order Boussinesq systems of KdV–type posed on a interval. We design a two-parameter family of feedback laws for which the solutions are globally defined...

Non-Oberbeck-Boussinesq (NOB) effects are measured experimentally and calculated theoretically for strongly turbulent Rayleigh-Bénard convection of ethane gas under pressure where the material properties strongly depend on the temperature. Relative to the Oberbeck-Boussinesq case we find a decrease of the central temperature as compared to the arithmetic mean of the top- and bottom-plate temper...