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Concept
Boussinesq Approximation
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Summary
The
Boussinesq Approximation
simplifies the
Navier-Stokes Equations
for
Fluid Flow
by assuming that
Density Variations
are negligible except where they appear in
Buoyancy terms
, making it useful for modeling
Incompressible flows
with
Small temperature differences
. This approximation is particularly valuable in geophysical and
Environmental fluid dynamics
, such as oceanography and
Atmospheric Science
, where it helps to model the effects of
Buoyancy-driven flows
without solving the full
Compressible equations
.
Concepts
Navier-Stokes Equations
Incompressible Flow
Buoyancy
Geophysical Fluid Dynamics
Oceanography
Atmospheric Science
Thermal Convection
Density Variations
Hydrostatic Balance
Continuity Equation
Buoyancy-Driven Flow
Reynolds-Averaged Navier-Stokes (RANS)
Relevant Degrees
Fluid Mechanics 70%
Computational Mathematics 20%
Meteorology 10%
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