dynamics, the Boussinesq approximation (pronounced [businɛsk], named for Joseph Valentin Boussinesq) is used in the field of buoyancy-driven flow (also...
8 KB (1,025 words) - 10:23, 21 October 2024
dynamics: Boussinesq approximation (buoyancy) for buoyancy-driven flows for small density differences in the fluid Boussinesq approximation (water waves)...
674 bytes (116 words) - 21:19, 25 April 2012
Valentin Boussinesq. Boussinesq approximation (buoyancy) for buoyancy-driven flows for small density differences in the fluid Boussinesq approximation (water...
7 KB (651 words) - 14:30, 22 February 2025
Richardson number (category Buoyancy)
considering flows in which density differences are small (the Boussinesq approximation), it is common to use the reduced gravity g' and the relevant parameter...
9 KB (1,275 words) - 19:54, 26 January 2025
Assuming that molecular viscosity is constant, and making the Boussinesq approximation, the TKE equation is: ∂ k ∂ t ⏟ Local derivative + u ¯ j ∂ k...
10 KB (1,337 words) - 08:16, 13 January 2025
set by the gradient far from the plume (this approximation is similar to the usual Boussinesq approximation). The distribution of density and velocity across...
11 KB (1,461 words) - 22:39, 12 June 2024
equation Biharmonic equation Blasius boundary layer Boussinesq approximation (buoyancy) Boussinesq approximation (water waves) Buckley–Leverett equation Camassa–Holm...
13 KB (1,097 words) - 09:46, 23 January 2025
incompressible and the background density varies by a small amount (the Boussinesq approximation). Assuming the waves are two dimensional in the x-z plane, the...
23 KB (3,377 words) - 21:53, 1 April 2025
waves.: 208–214 In modeling buoyancy-driven flows, the Navier-Stokes equations are modified using the Boussinesq approximation. This ignores variations in...
10 KB (1,077 words) - 09:45, 12 May 2025
ceiling. Typically, the density difference is small enough for the Boussinesq approximation to be valid. Gravity currents can be thought of as either finite...
16 KB (2,236 words) - 18:36, 11 January 2025
lifespans of up to 24 hours. Water is a fluid that does not obey the Boussinesq approximation. This is because its density varies nonlinearly with temperature...
57 KB (7,033 words) - 00:06, 9 May 2025
Ballantine scale – Marine biology measurement scale Boussinesq approximation (water waves) – Approximation valid for weakly non-linear and fairly long waves...
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Computational Fluid Dynamics for Phase Change Materials (section Boussinesq eddy-viscosity approximation)
Kronecker delta. commonly used assumptions are Incompressible fluid, Boussinesq approximation (density is considered constant, except in the gravity forces term)...
10 KB (1,600 words) - 19:01, 10 November 2024
by density differences typically small enough to allow for the Boussinesq approximation. The driving density difference between fluids that produces intrusion...
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Valentin Boussinesq introduces the concept of turbulence in forms of eddy viscosity, as well as Boussinesq approximation for water waves and Boussinesq approximation...
43 KB (4,561 words) - 15:07, 29 April 2025
Boundary layer transition Boundary lubrication Boussinesq approximation (buoyancy) Boussinesq approximation (water waves) Bousso's holographic bound Bow...
14 KB (1,469 words) - 18:31, 5 May 2025
The continuity equation for conservation of mass, for which the Boussinesq approximation is often used: ∇ ⋅ u = 0 , {\displaystyle \nabla \cdot \mathbf...
34 KB (4,392 words) - 09:58, 12 May 2025
Taylor–Goldstein equation (category Buoyancy)
Taylor–Goldstein equation is derived from the 2D Euler equations, using the Boussinesq approximation. The equation is named after G.I. Taylor and S. Goldstein, who...
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Craik–Leibovich equations which are an approximation of the Lagrangian mean. In the Boussinesq approximation the governing equations can be written ∂...
20 KB (2,648 words) - 02:41, 29 March 2025
depth, the expression for the mean wave momentum M is recovered. Boussinesq approximation (water waves) – nonlinear theory for waves in shallow water. Capillary...
49 KB (5,476 words) - 20:09, 29 March 2025
equations for vertical momentum, heat and salinity equations (under Boussinesq's approximation) have the following form for double diffusive salt fingers: ∇...
14 KB (1,883 words) - 21:16, 21 September 2024
Fluid dynamics (section Other approximations)
other possible approximations to fluid dynamic problems. Some of the more commonly used are listed below. The Boussinesq approximation neglects variations...
32 KB (4,347 words) - 02:07, 14 April 2025
known for the linearly elastic 3D half-space as well. These were found by Boussinesq for a concentrated normal load and by Cerruti for a tangential load. See...
71 KB (12,049 words) - 08:21, 15 May 2025
the blender, promoting mixing When used in the context of the Boussinesq approximation the densimetric Froude number is defined as F r = u g ′ h {\displaystyle...
22 KB (3,023 words) - 18:25, 27 February 2025
Capillary wave Airy wave theory Benjamin–Bona–Mahony equation Boussinesq approximation (water waves) Cnoidal wave Camassa–Holm equation Davey–Stewartson...
30 KB (3,434 words) - 18:07, 14 April 2025
Breakwater (structure) – Coastal defense structure Boussinesq approximation (water waves) – Approximation valid for weakly non-linear and fairly long waves...
49 KB (6,281 words) - 14:15, 6 May 2025
bow of a ship when it moves through the water Boussinesq approximation (water waves) – An approximation valid for weakly non-linear and fairly long waves...
226 KB (32,627 words) - 21:34, 2 April 2025