Boussinesq approximation


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Boussinesq approximation

[′bü·si′nesk ə‚präk·sə′mā·shən]
(fluid mechanics)
The assumption (frequently used in the theory of convection) that the fluid is incompressible except insofar as the thermal expansion produces a buoyancy, represented by a term g α T, where g is the acceleration of gravity, α is the coefficient of thermal expansion, and T is the perturbation temperature.
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According to the Boussinesq approximation these equations get the following expressions (M.
The Boussinesq approximation for the buoyancy force is adopted in momentum equation.
For problem having small or medium density gradient, the governing equations can be simplified by invoking the Boussinesq approximation (Chen and Jaw, 1998).
Boussinesq approximation is used in oceanography and then [rho] can be take as a constant.
Keywords and Phrases: Free convective flow, radiation, buoyancy, boussinesq approximation, corrugated channel, and incompressible viscous fluid.