Boussinesq approximation (buoyancy)
Incorporating velocity shear into the magneto-Boussinesq approximation
... the Boussinesq approximation for a compressible fluid were derived in the classic paper of Spiegel and Veronis (1960), who considered thermal convection of a layer of fluid subject to two important ...
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Unsteady flow of a nanofluid over a sphere with nonlinear Boussinesq approximation
... conventional Boussinesq approximation, density differences are sufficiently small to be neglected, except where they appear in terms multiplied by gravity and the convention is to use a single linear ...
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Buoyancy-driven Magnetohydrodynamic Waves
... Turbulent motions close to the visible solar surface may generate low-frequency internal gravity waves ( IGWs ) that propagate through the lower solar atmosphere. Magnetic activity is ubiquitous throughout the solar ...
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Convective and absolute instabilities in non-Boussinesq mixed convection
... the Boussinesq approximation of the governing equations is used, the problem admits a simple cubic polynomial solution for the velocity and a linear so- lution for the temperature which makes further ...
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Structure and Stability of Buoyant Diffusion Flames
... Neutral stability and amplification contours for symmetric buoyant diffusion flame using Boussinesq approximation.. Wave number-Reynolds number diagram with global nondimensionalisation.[r] ...
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Inverse cascade and symmetry breaking in rapidly-rotating Boussinesq convection
... In this paper we present numerical simulations of rapidly-rotating Rayleigh-B´enard convection in the Boussinesq approximation with stress-free boundary conditions. At moderately low Rossby number and large ...
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UNIQUENESS AND DECAY RESULTS FOR A BOUSSINESQUIAN NANOFLUID
... for all (x, t) ∈ Ω × (0, + ∞ ). (1) We have followed the Buongiorno two-phase model ([4]) for the description of the nanofluid, while, unlike Buongiorno, we suppose slightly compressibility in order to apply the ...
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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
... We consider Euler equations with stratified background state that is valid for in- ternal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is ...
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Energetics of internal solitary waves in a background sheared current
... the Boussinesq approximation the combination of a background sheared current, bathymetry and a rigid lid results in a change in the total energy of the system due to the work done by a pressure change that ...
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Existence of periodic solutions of Boussinesq system
... This paper is devoted to the study of the dynamical behavior of a Boussinesq system, which is a basic model in describing the flame propagation in a gravitationally stratified medium. This system consists of an ...
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ON COUPLED SYSTEM OF NAVIER-STOKES EQUATIONS AND TEMPERATURE IN INFINITE CHANNEL
... This paper deals with the coupled system of Navier-Stokes equations and temperature (Thermohydraulics) in a strip in the class of spatially non-decaying (infinite-energy) solutions belonging to the properly chosen ...
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Well posedness of the stochastic Boussinesq equation driven by Levy processes
... The rest of the paper is organized as follows. Section 2 is devoted to some preliminar- ies on notations, lemmas, and especially the definition of fragile solutions. In Sect. 3, we prove the existence and uniqueness of ...
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A regularity criterion for the Cahn Hilliard Boussinesq system with zero viscosity
... A regularity criterion for the Cahn-Hilliard-Boussinesq system with zero viscosity Caochuan Ma1 , Faris Saeed Alzahrani2 , Tasawar Hayat3,2 and Yong Zhou4,2* * Correspondence: yzhou@mail[r] ...
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The local existence of strong solution for the stochastic 3D Boussinesq equations
... 2D Boussinesq equations, the global regu- larity issue has been settled in the affirmative under various degrees of viscosity: with full viscosity ν > 0 and κ > 0, partial viscosity ν > 0 and κ = 0, or ν = ...
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Global Attractor for a Class of Nonlinear Generalized Kirchhoff Boussinesq Model
... Global Attractor for a Class of Nonlinear Generalized Kirchhoff-Boussinesq Model Penghui Lv, Ruijin Lou, Guoguang Lin Mathematical of Yunnan University, Kunming, China Received 15 Decemb[r] ...
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The regularity criterion for weak solutions to the n-dimensional Boussinesq system
... The Boussinesq system is extensively used in the atmospheric sciences and oceano- graphic turbulence (see [–] and references ...D Boussinesq equations is a big open ...
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Existence and Orbital Stability of Cnoidal Waves for a 1D Boussinesq Equation
... J. Boussinesq, “Th´eorie des ondes te des remous qui se propageant le long d’un canal rectangu- laire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface ...
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High dimensional painlev´e integrable schwarzian boussinesq models
... In summary, we have extended the (1+1)-dimensional Schwartzian Boussinesq equation to the arbitrary dimensional system with selecting the high dimensional Schwarzian derivatives. We have shown that the new system ...
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Conservative Fourier spectral scheme for the coupled Schrödinger–Boussinesq equations
... good Boussinesq equation with second-order temporal accuracy, and they have dis- cussed the nonlinear stability and convergence of the ...good Boussinesq equation, and they gave a stability and convergence ...
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Simulating run-up on steep slopes with operational Boussinesq models; capabilities, spurious effects and instabilities
... tional Boussinesq model (COULWAVE, Cornell University Long and Intermediate Wave Modeling Package), which ex- hibits the above mentioned ...the Boussinesq modeling ...as Boussinesq-type ...
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