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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 termgαT,wheregis the acceleration of gravity, α is the coefficient of thermal expansion, andTis the perturbation temperature.


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Thus, the density variation needs to be considered by using the ideal gas law rather than the Boussinesq approximation as follows: [rho] = [[p.
Keywords and Phrases: Free convective flow, radiation, buoyancy, boussinesq approximation, corrugated channel, and incompressible viscous fluid.
The code solves the three-dimensional hydrodynamic equations under the following assumptions: * Navier-Stokes 3D equations with free surface changing in time, * Negligible density variation in the mass conservation equation, * Hydrostatic (general) and non hydrostatic pressure assumed, * Boussinesq approximation for momentum.
 
 
 
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