Wolfram Computation Meets Knowledge

Boussinesq Approximation Parameter Using Approximated Gravitational Acceleration

The Boussinesq approximation 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 the acceleration due to gravity. The essence of the Boussinesq approximation is that the difference in inertia is negligible, but gravity is sufficiently strong to make the specific weight appreciably different between the two fluids.

The Boussinesq approximation parameter increases directly with the approximated gravitational acceleration.

Formula

QuantityVariable["Bs", "BoussinesqApproximationParameter"] == Quantity[1, "StandardAccelerationOfGravity"^(-1)]*QuantityVariable[Subscript["g", "2"], "Acceleration"]

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Boussinesq Approximation Parameter Using Approximated \
Gravitational Acceleration"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[
 ResourceObject[
  "Boussinesq Approximation Parameter Using Approximated \
Gravitational Acceleration"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Boussinesq Approximation Parameter Using Approximated \
Gravitational Acceleration"], {QuantityVariable[
\!\(\*SubscriptBox[\("g"\), \("2"\)]\),"Acceleration"] -> 
   Quantity[0.098`, ("Meters")/("Seconds")^2]}]
Out[3]=

Source Metadata

Publisher Information