What is the significance of Boussinesq approximation?
The Boussinesq approximation is a way to solve nonisothermal flow, such as natural convection problems, without having to solve for the full compressible formulation of the Navier-Stokes equations.
What is Boussinesq coefficient?
Physically, the Boussinesq coefficient quantifies the momentum effect of the non-uniform velocity distribution over the depth. Because it appears in the advective acceleration term in the SWEs, it can also be treated as a pure numerical parameter to tune the amount of fluid inertia to be considered in the simulation.
What is oberbeck Boussinesq approximation?
Unlike the Boundary Layer Approximation, the Oberbeck–Boussinesq approximation is more in keeping with a perturbation of the governing equation by identifying a small non-dimensional parameter and retaining terms of like order.
What is Boussinesq fluid?
In fluid dynamics, the Boussinesq approximation (pronounced [businɛsk], named for Joseph Valentin Boussinesq) is used in the field of buoyancy-driven flow (also known as natural convection). It ignores density differences except where they appear in terms multiplied by g, the acceleration due to gravity.
What do you mean by Boussinesq approximation What is the physical significance of Grashof number with reference to heat transfer by natural convection?
The Grashof number is the ratio of buoyancy to viscous forces. A value below indicates that the flow is laminar, while a value above indicates that the flow is turbulent. In this case, the Grashof number is around , meaning that the flow is laminar.
What is the anelastic approximation?
An approximate system of equations for deep and shallow atmospheric convection. If the vertical scale of motion is small compared to the depth of an adiabatic atmosphere, the anelastic equations reduce to the Boussinesq equations for shallow convection. …
What are the assumptions of Boussinesq equation?
Boussinesq’s theory formula is based on following assumptions. The soil mass is semi-infinite, homogeneous and isotropic. The soil has a linear stress-strain relationship, The soil is weightless.
How do you pronounce Boussinesq?
Re: How to pronounce Boussinesq? The standard pronouciation in English (and used by everyone O know) is Boo-zin-esk.
How are the Reynolds stresses Modelled using the Boussinesq approximation?
Boussinesq approximation (buoyancy) for buoyancy-driven flows for small density differences in the fluid. Turbulence modeling and eddy viscosity: in modelling the turbulence Reynolds stresses, the Boussinesq approximation results in the use of an eddy viscosity concept.
What is Grashof number explain its significance?
The significance of the Grashof number is that it represents the ratio between the buoyancy force due to spatial variation in fluid density (caused by temperature differences) to the restraining force due to the viscosisty of the fluid.
What is the dittus Boelter equation when does it apply?
The Dittus–Boelter equation (for turbulent flow) is an explicit function for calculating the Nusselt number. The Nusselt number is the ratio of convective to conductive heat transfer across (normal to) the boundary.