Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Catheter Flow Rate

The catheter flow rate refers to the liquid volume flow from a catheter.

The flow rate equals the product of \[Pi], the internal radius of the catheter to the fourth power and the difference in pressure between the ends of the catheter divided by the product of 8 times the length of the catheter and the dynamic viscosity of the solution.

Formula

QuantityVariable["FR", "VolumeFlow"] == (Pi*QuantityVariable["r", "Radius"]^4*(-QuantityVariable[Subscript["P", "1"], "Pressure"] + QuantityVariable[Subscript["P", "2"], "Pressure"]))/(8*QuantityVariable["L", "Radius"]*QuantityVariable["η", "DynamicViscosity"])

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Catheter Flow Rate"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Catheter Flow Rate"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Catheter Flow Rate"], {QuantityVariable[ "\[Eta]","DynamicViscosity"] -> Quantity[0.00682`, "Poise"], QuantityVariable["L","Radius"] -> Quantity[15, "Centimeters"], QuantityVariable["FR","VolumeFlow"] -> Quantity[1, ("Meters")^3/("Minutes")]}]
Out[3]=

Publisher Information