Results 11 to 20 of about 1,398 (181)
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
openaire +3 more sources
Alexandria Engineering Journal, 2022 This paper investigates modelling strategies on the prediction of lift and drag coefficients of a NACA0012 airfoil at Reynolds number of 360,000. Two computational methods are employed; namely Navier-Stokes equation and panel method, by using different ...
K.M. Almohammadi
doaj +1 more source
Incompressible flows and the Boussinesq approximation: 50 years of CFD
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
doaj +1 more source
On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
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
openaire +4 more sources
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
doaj +1 more source
Numerical Comparative Study of Compressible and Incompressible Models for Predicting Combined Natural Convection and Radiation in Participating Medium [PDF]
Journal of Applied Fluid MechanicsNatural convection coupled with volumetric radiation governs heat transfer in high-temperature systems, yet modeling relies heavily on the Boussinesq approximation, limited to weak density variations.
N. Rachedi, M. Guellal, M. Bouafia
doaj +1 more source
Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System
Science Journal of University of Zakho, 2019 The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM).
Saad A. Manaa, Nergiz M. Mosa
doaj +1 more source
Capturing the baroclinic effect in non-Boussinesq gravity currents
Theoretical and Applied Mechanics Letters, 2022 Direct numerical simulations of two-dimensional gravity currents with small and medium density variations are performed using different non-Boussinesq buoyancy approximations.
Shengqi Zhang, Zhenhua Xia
doaj +1 more source
The Miles Theorem and New Particular Solutions to the Taylor--Goldstein Equation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The linear stability problem of steady-state plane-parallel shear flows of a continuously stratified inviscid incompressible fluid in the gravity field between two immovable impermeable solid planes is studied in and without the Boussinesq approximation.
A.A. Gavrilieva +2 more
doaj
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
doaj +1 more source