Poiseuille's Law

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Poiseuille's law

[pwä′zə·ēz ‚lȯ]
(fluid mechanics)
The law that the volume flow of an incompressible fluid through a circular tube is equal to π/8 times the pressure differences between the ends of the tube, times the fourth power of the tube's radius divided by the product of the tube's length and the dynamic viscosity of the fluid.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Poiseuille’s Law

 

the law governing the flow of a liquid through a thin cylindrical tube. It states that the volume Q per second of a liquid flowing through a cross section of the tube is directly proportional to the pressure difference between p and p0 at the entrance of the tube and at the outlet and to the fourth power of the diameter d of the tube and inversely proportional to the length l of the tube and the viscosity μ of the liquid:

This formula was derived by J. L. M. Poiseuille, and the relation of the coefficient k to the viscosity μ was established later by G. Stokes: k = π/(128μ).

Poiseuille’s law is applicable only to a liquid in laminar flow (in practice, for very thin tubes) and on the condition that the length of the tube greatly exceed the length of the initial section, in which the laminar flow develops in the tube. Poiseuille’s law is used in determining the viscosity of liquids at different temperatures by means of capillary viscometers.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
The relevance of such data is that, according to the Poiseuille law, the fluid flow inside a tube is contingent on the bore and the length of the tube and the pressure gradient established between its ends (Tattersall, Traill, & Gleeson, 2000).
The steady component of the velocity can be obtained by the Poiseuille law once the pressure gradient between the head and the heart is known.
According to the Poiseuille law, the resistance of vessels is given by the formula [R.sub.i] = 8[mu][l.sub.i]/[pi][r.sup.4.sub.i], where [mu] is the dynamic viscosity of blood.