Results 171 to 180 of about 26,842 (214)

Symmetries of the shallow water equations in the Boussinesq approximation

Communications in Nonlinear Science and Numerical Simulation, 2019
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Sergey Meleshko
exaly   +3 more sources

On the Oberbeck–Boussinesq approximation for gases

International Journal of Non-Linear Mechanics, 2021
Abstract The Oberbeck–Boussinesq (OB) approximation for a compressible fluid in Benard’s problem geometry is studied. We present a new derivation of the classical and ’extended’ OB models for a fluid obeying the ideal gas state equation by means of an asymptotic limit for vanishing temperature difference. The ‘extended’ OB approximation takes account
Diego Grandi, Arianna Passerini
openaire   +2 more sources

ON THE OBERBECK-BOUSSINESQ APPROXIMATION

Mathematical Models and Methods in Applied Sciences, 1996
This paper deals with a derivation (using a perturbation technique) of an approximation, due to Oberbeck8,9 and Boussinesq,1 to describe the thermal response of linearly viscous fluids that are mechanically incompressible but thermally compressible. The present approach uses a nondimensionalization suggested by Chandrasekhar2 and utilizing the ratio ...
Rajagopal, Kumbakonam Ramamani   +2 more
openaire   +3 more sources

Approximate Symmetries of the Boussinesq Equation

Quaestiones Mathematicae, 2003
In this paper we show that all exact symmetries of the linear wave equation are inherited by the Boussinesq type equation with a small parameter as approximate symmetries in any order of precision. We find an approximate integral­ differential transformation of any order of precision, which transforms the Boussinesq type equation into the linear wave ...
Baikov, V.A., Kordyukova, S.A.
openaire   +2 more sources

The validity of the boussinesq approximation for liquids and gases

International Journal of Heat and Mass Transfer, 1976
Abstract 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
openaire   +1 more source

Magnetic buoyancy and the Boussinesq approximation

Geophysical & Astrophysical Fluid Dynamics, 1982
Abstract 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
openaire   +1 more source

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