Poiseuille's Law

Poiseuille's law is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross-section.

The flow rate of fluid equals the product of \[Pi], the diameter to the fourth power and the pressure difference divided by the product of 128 times the length of the pipe and the dynamic viscosity.

Formula

QuantityVariable["Q", "VolumeFlow"] == (Pi*QuantityVariable["D", "Diameter"]^4*QuantityVariable["ΔP", "Pressure"])/(128*QuantityVariable["L", "Length"]*QuantityVariable["η", "DynamicViscosity"])

symbol	description	physical quantity
Q	flow rate of fluid	"VolumeFlow"
D	pipe diameter	"Diameter"
L	length of pipe	"Length"
ΔP	pressure difference	"Pressure"
η	dynamic viscosity	"DynamicViscosity"

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$FormulaData[ ResourceObject[ "Poiseuille's Law"], {QuantityVariable[ "\[CapitalDelta]\[InvisibleSpace]P","Pressure"] -> Quantity[1.243`, "Kilopascals"]}]$

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Poiseuille's Law

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