What is hagen poiseuille equation and when can it be used

Question

Accepted Answer

The Hagen-Poiseuille equation describes the flow of a viscous fluid through a cylindrical pipe or tube.

The equation relates the flow rate of the fluid to the pressure difference, viscosity, length, and radius of the pipe.
It can be used to calculate the flow rate or pressure drop in various fluid systems, such as blood flow in blood vessels or water flow in pipes.
The equation assumes laminar flow, where the fluid flows smoothly in parallel layers without turbulence.
It is often used in fluid dynamics, engineering, and biomedical sciences.
The equation is given as Q = (π * ΔP * r^4) / (8 * η * L), where Q is the flow rate, ΔP is the pressure difference, r is the radius, η is the viscosity, and L is the length of the pipe.

Accepted Answer

it relates volumetric flow-rate of fluid through a pipe to the applied pressure drop and pipe diameter. It can be used for laminar, fully developed, steady state flow through a pipe with the fluid moving under pressure gradient

What is hagen poiseuille equation and when can it be used

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