Poiseuille's law

The Poiseuille's law (or the Hagen-Poiseuille law also named after Gotthilf Heinrich Ludwig Hagen (1797-1884) for his experiments in 1839) is the physical law concerning the voluminal laminar stationary flow ΦV of incompressible uniform viscous liquid (so called Newtonian fluid) through a cylindrical tube with the constant circular cross-section, experimentally derived in 1838, formulated and published in 1840 and 1846 by Jean Louis Marie Poiseuille (1797-1869), and defined by:

Relation to electrical circuits

Electricity was originally understood to be a kind of fluid. This hydraulic analogy is still of some use in teaching.

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Poiseuille's law corresponds to the Ohm's law for electrical circuits, where pressure drop Δp* is somehow replaced by voltage V and voluminal flow rate ΦV by current I. According to this a term 8η l/πr4 is an adequate substitution for the electrical resistance R.

Related Topics:
Ohm's law - Voltage - Current - Electrical resistance

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