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Drag Force on a Sphere for Stokes Flow

Stokes flow is a type of fluid flow where advective inertial forces are small compared with viscous forces.

The drag force equals 6\[Pi] times the product of the radius, dynamic viscosity and speed.

Formula

QuantityVariable["F", "Force"] == 6*Pi*QuantityVariable["a", "Radius"]*QuantityVariable["η", "DynamicViscosity"]*QuantityVariable[Subscript["u", "0"], "Speed"]

symbol description physical quantity
F force "Force"
a radius "Radius"
η dynamic viscosity "DynamicViscosity"
u0 speed "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Drag Force on a Sphere for Stokes Flow"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Drag Force on a Sphere for Stokes Flow"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Drag Force on a Sphere for Stokes Flow"], {QuantityVariable[ "F","Force"] -> Quantity[10, "Newtons"]}]
Out[3]=

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