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Rational derivation of the Boussinesq approximation
, 2019 This note derives the Boussinesq approximation in a manner consistent with the conservation law of mass. It is shown that the governing equations of a fluid under the approximation can be obtained on the basis of the assumption that the fluid is incompressible, in the sense that the density of the fluid is constant.
MARUYAMA, Kiyoshi
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Oscillatory convection and limitations of the Boussinesq approximation [PDF]
Journal of Fluid Mechanics, 2016 We determine the asymptotic conditions under which the Boussinesq approximation is valid for oscillatory convection in a rapidly rotating fluid. In the astrophysically relevant parameter regime of small Prandtl number, we show that the Boussinesq prediction for the onset of convection is valid only under much more restrictive conditions than those that
T. S. Wood, P. J. Bushby
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The Oberbeck–Boussinesq approximation and Rayleigh–Bénard convection revisited
Discrete and Continuous Dynamical SystemsWe consider the Oberbeck--Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non--local term arising in the incompressible limit of the Navier--Stokes--Fourier system.
Feireisl, Eduard +2 more
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Rigorous Derivation of the Oberbeck–Boussinesq Approximation Revealing Unexpected Term [PDF]
Communications in Mathematical Physics, 2022 We consider a general compressible viscous and heat conducting fluid confined between two parallel plates and heated from the bottom. The time evolution of the fluid is described by the Navier–Stokes–Fourier system considered in the regime of low Mach ...
P. Bella, E. Feireisl, Florian Oschmann
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Revisiting the Energetics of the Ocean in Boussinesq Approximation
Journal of Physical Oceanography, 2015 AbstractFollowing a suggestion by Tailleux, a consistent formulation of internal energy, the first law of thermodynamics, and the thermodynamic potentials for an ocean in Boussinesq approximation with a nonlinear equation of state is given. A modification of the pressure work in the first law is the only necessary modification from which all ...
C. Eden
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Two Types of Waves in a Two-Layer Stratified Fluid
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 Within the framework of the linear theory of small potential oscillations the article studies the structure and characteristics of internal and surface waves in a two-layer stably stratified fluid.
Rudenko, A.I.
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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
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Journal of Thermal Analysis and Calorimetry, 2020 The analysis of entropy generation has received notable attention in the study of nanofluids because the prime objective of nanofluids is to admit high heat fluxes.
H. Basha, R. Sivaraj, V. Prasad, O. Bég
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Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions [PDF]
, 2005 There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large ...
Catherine Weisman +22 more
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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
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