Results 141 to 150 of about 1,398 (181)
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Symmetries of the shallow water equations in the Boussinesq approximation
Communications in Nonlinear Science and Numerical Simulation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergey Meleshko
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The validity of the boussinesq approximation for liquids and gases
International Journal of Heat and Mass Transfer, 1976Abstract A new method for obtaining approximate equations for natural convection flows is presented. The systematic application of this method leads to explicit conditions for the neglect of various terms. It is shown that this method allows the specification of the conditions under which the traditional Boussinesq approximation applies to a given ...
Gray, Donald D., Giorgini, Aldo
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Magnetic buoyancy and the Boussinesq approximation
Geophysical & Astrophysical Fluid Dynamics, 1982Abstract The full Boussinesq equations for hydromagnetic convection are derived and shown to include the effects of magnetic buoyancy. Instabilities caused by magnetic buoyancy are analyzed and their roles in double convection are brought out.
E. A. Spiegel, N. O. Weiss
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Boussinesq-Approximation (Boussinesq approximation)
2000Es handelt sich um eine mathematische Naherung bei der Beschreibung von Stromungen, die durch Auftriebseffekte hervorgerufen oder beeinflust werden (naturliche bzw. gemischte Konvektion). Dabei wird unterstellt, das die Temperaturabhangigkeit der beteiligten Stoffwerte und hier insbesondere die der Dichte ϱ* bis auf eine einzige Ausnahme vernachlassigt
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1990
In the analysis of atmospheric flows, it is usual to consider the atmosphere as an incompressible fluid medium but which is stratified in altitude. We will see that this is the consequence of the characteristic velocity U0 being always very small compared to the characteristic speed of sound c ∞ 0 = [γRT∞(0)]1/2 (flows also called “hyposonic”).
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In the analysis of atmospheric flows, it is usual to consider the atmosphere as an incompressible fluid medium but which is stratified in altitude. We will see that this is the consequence of the characteristic velocity U0 being always very small compared to the characteristic speed of sound c ∞ 0 = [γRT∞(0)]1/2 (flows also called “hyposonic”).
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Approximate Inertial Manifolds to the Newton-Boussinesq Equations
Journal of Partial Differential Equations, 1996The authors construct two approximate inertial manifolds for the following two-dimensional Newton-Boussinesq equations: \[ {\partial\over\partial t} \Delta\psi+J(\psi,\Delta\psi)=\Delta^2\psi-{R_a\over P_r} {\partial\theta\over\partial x},\quad {\partial\theta\over\partial t}+J(\psi,\theta)={1\over P_r} \Delta\theta, \] where \(J(u,v)=u_yv_x-u_xv_y\), \
Guo, Boling, Wang, Bixiang
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Boussinesq approximation in the Rayleigh-Benard problem
Fluid Dynamics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation methods for boundary control of the Boussinesq equations
52nd IEEE Conference on Decision and Control, 2013In this paper we discuss an approximation method for dealing with Dirichlet boundary control of thermal-fluid systems. The physics of displacement ventilation and buoyancy-driven flows are described by the Boussinesq equations. We first develop a computational algorithm for solving the corresponding LQR control problem for the Boussinesq equations with
John A. Burns, Weiwei Hu
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Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids
Journal of Optimization Theory and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Validity of the Boussinesq Approximation for the Elder Problem
Computational Geosciences, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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