Results 11 to 20 of about 1,072,644 (236)
Incompressible flows and the Boussinesq approximation: 50 years of CFD [PDF]
Comptes Rendus. Mécanique, 2022 We offer a synthetic exposition on the state of the art for Computational Fluid Dynamics (CFD) relevant to the Navier–Stokes equations with the Boussinesq approximation, smoothly blending a history of the field with an accessible exposition of the ...
Lappa, Marcello
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On the numerical approximation of Boussinesq/Boussinesq systems for internal waves [PDF]
Numerical Methods for Partial Differential Equations, 2023 AbstractThe present paper is concerned with the numerical approximation of a three‐parameter family of Boussinesq systems. The systems have been proposed as models of the propagation of long internal waves along the interface of a two‐layer system of fluids with rigid‐lid condition for the upper layer and under a Boussinesq regime for the flow in both ...
Dougalis, Vassilios A. +2 more
semanticscholar +7 more sources
The Oberbeck–Boussinesq approximation in critical spaces [PDF]
Asymptotic Analysis, 2013 In this paper we study the validity of the so-called Oberbeck–Boussinesq approximation for compressible viscous perfect gases in the whole three-dimensional space. Both the cases of fluids with positive heat conductivity and zero conductivity are considered.
Danchin, Raphaël, He, Lingbing
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Case Studies in Thermal Engineering, 2021 Numerical simulations are performed for the mixed convective transport in an inclined open arc-shaped channel filled by isotropic porous media using nanofluids.
Sameh E. Ahmed +2 more
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The Boussinesq approximation in rapidly rotating flows [PDF]
Journal of Fluid Mechanics, 2013 In commonly used formulations of the Boussinesq approximation centrifugal buoyancy effects related to differential rotation, as well as strong vortices in the flow, are neglected.
J. M. López, F. Marques, M. Avila
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The Oberbeck–Boussinesq approximation as a constitutive limit [PDF]
Continuum Mechanics and Thermodynamics, 2015 We derive the usual Oberbeck--Boussinesq approximation as a constitutive limit of the full system describing the motion of an compressible linearly viscous fluid. To this end the starting system is written, using the Gibbs free energy, in the variables $\mathbf v, θ$ and $p$.
Yoshiyuki Kagei, Ruzicka Michael
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, 2021 This paper deals with a mathematical and numerical investigation of double-diffusive natural convective heat and mass transfer in a cavity filled with Newtonian fluid with significant density and mass diffusivity changes.
Saber Hamimid, M. Guellal, M. Bouafia
semanticscholar +2 more sources
Solvability of the Boussinesq Approximation for Water Polymer Solutions
Mathematics, 2019 We consider nonlinear Boussinesq-type equations that model the heat transfer and steady viscous flows of weakly concentrated water solutions of polymers in a bounded three-dimensional domain with a heat source.
Mikhail A. Artemov +1 more
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Limits of the Oberbeck–Boussinesq approximation in a tall differentially heated cavity filled with water [PDF]
, 2014 The present work assesses the limits of the Oberbeck–Boussinesq (OB) approximation for the resolution of turbulent fluid flow and heat transfer inside a tall differentially heated cavity of aspect ratio Γ = 6.67 filled with water ( Pr = 3.27, Ra = 2.12
D. Kizildag +3 more
semanticscholar +2 more sources
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2011 To appear in ...
Duchêne, Vincent, Vincent Duchêne
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