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The analytical study of double diffusive convection in a rectangular enclosure bounded by porous lining with thermal radiation. [PDF]
Sasi Rekha DR +9 more
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Turbulence model study for aerodynamic analysis of the leading edge tubercle wing for low Reynolds number flows. [PDF]
Ali I +4 more
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The Boussinesq approximation for buoyant flows
The aim of this communication is to present a simplified, yet rigorous, deduction of the Boussinesq approximated governing equations for buoyant flows. In order to carry out the core deduction procedure, a simplified version of the manifold asymptotic analyses available in the literature is discussed. The method adopted in this study is focussed on the
Antonio Barletta
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On the Oberbeck–Boussinesq approximation for gases
International Journal of Non-Linear Mechanics, 2021Abstract 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
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ON THE OBERBECK-BOUSSINESQ APPROXIMATION
Mathematical Models and Methods in Applied Sciences, 1996This 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
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Approximate Symmetries of the Boussinesq Equation
Quaestiones Mathematicae, 2003In 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.
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Incorporating velocity shear into the magneto-Boussinesq approximation [PDF]
14 pages, 0 figures.
Evy Kersalé, David Hughes
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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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