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Darcy's Law Using Pressure Difference

Darcy's law is an equation that describes the flow of a fluid through a porous medium.

Darcy's law states the flow rate equals the product of the area, pressure difference and intrinsic permeability of a medium divided by the product of the length and the dynamic viscosity.

Formula

QuantityVariable["Q", "VolumeFlow"] == -((QuantityVariable["A", "Area"]*QuantityVariable["Δ​P", "Pressure"]*QuantityVariable["κ", "HydraulicPermeability"])/(QuantityVariable["L", "Length"]*QuantityVariable["η", "DynamicViscosity"]))

symbol description physical quantity
Q flow rate "VolumeFlow"
A area "Area"
L length "Length"
Δ​P pressure difference "Pressure"
η dynamic viscosity "DynamicViscosity"
κ intrinsic permeability of medium "HydraulicPermeability"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Darcy's Law Using Pressure Difference"]
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Get the formula:

In[2]:=
FormulaData[ResourceObject["Darcy's Law Using Pressure Difference"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Darcy's Law Using Pressure Difference"], {QuantityVariable[ "L","Length"] -> Quantity[1, "Meters"], QuantityVariable["\[Eta]","DynamicViscosity"] -> Quantity[0.001003`, "Pascals" "Seconds"], QuantityVariable["A","Area"] -> Quantity[300, ("Feet")^2]}]
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