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On the Use and Misuse of the Oberbeck–Boussinesq Approximation

https://doi.org/10.3390/physics5010022
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Laminar natural convection in an enclosed rectangular cavity
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The validity of the boussinesq approximation for liquids and gases
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The bénard problem for deep convection: rigorous derivation of approximate equations
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Buoyancy-driven flows beyond the Boussinesq approximation: A brief review
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The Boussinesq approximation for buoyant flows
inferredcites →https://doi.org/10.1016/j.nonrwa.2007.12.003openalex-snapshot
On the Oberbeck–Boussinesq approximation for fluids with pressure dependent viscosities
inferredcites →https://doi.org/10.1016/s1631-0721(03)00120-7openalex-snapshot
Joseph Boussinesq and his approximation: a contemporary view
inferredcites →https://doi.org/10.1017/jfm.2015.154openalex-snapshot
A proof that convection in a porous vertical slab may be unstable
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The Effect of Thermal Expansion on Porous Media Convection Part 1: Thermal Expansion Solution
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Instability of stationary two-dimensional mixed convection across a vertical porous layer
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On the onset of convection in a highly permeable vertical porous layer with open boundaries
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On the Boussinesq Approximation for a Compressible Fluid.
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Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures
inferredcites →https://doi.org/10.1098/rspa.2015.0159openalex-snapshot
On the approximation of isochoric motions of fluids under different flow conditions
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The Horton–Rogers–Lapwood problem for an inclined porous layer with permeable boundaries
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Buoyancy-Induced Flows and Transport
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ON THE OBERBECK-BOUSSINESQ APPROXIMATION

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Rigorous Derivation of the Oberbeck–Boussinesq Approximation Revealing Unexpected Term
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Toward Improving Boussinesq Flow Simulations by Learning with Compressible Flow
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Thermally driven fluid convection in the incompressible limit regime
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On the Stability of a Convective Flow with Nonlinear Heat Sources
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Exact Solutions of the Oberbeck–Boussinesq Equations for the Description of Shear Thermal Diffusion of Newtonian Fluid Flows
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Exact Solutions to the Oberbeck–Boussinesq Equations for Describing Three-Dimensional Flows of Micropolar Liquids
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