LEY DE HAGEN-POISEUILLE. Permite determinar el caudal de un flujo laminar Q de un líquido incompresible y uniformemente viscoso a través de un tubo. ecuación de Bernouilli Poiseuille-Hagen law loi de Poiseuille Hagen- Poiseuillûv zákon Hagen-Poiseuillesches ley de Poiseuille-Hagen ecuación de. For a Newtonian liquid (i.e. laminar case) the volume flow rate J and the pressure difference Δp are related by the Hagen-Poiseuille law: [@[email protected]] In the.

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Poiseuille’s law From Academic Kids.

First, to get everything happening at the same point, use the first two terms of a Taylor series expansion of the velocity gradient:. Using the product rulethe equation may be rearranged to:. The Physical Biology of Flow. In other projects Wikimedia Commons.

Hagen-Poiseuille Law

Finally, put this expression in the form of a differential equationdropping the term quadratic in dr. Unsourced material may be challenged and removed. The resistance is due to the interaction between the flowing electrons and the atoms of the conductor.

Micro- and Nanoscale Fluid Mechanics: Capillary tube, mm hagenpoiseuille 5 mm, 0.

For European distributors, please visit: Articles needing additional references from September All articles needing additional references Articles with inconsistent citation formats. The Hagen—Poiseuille equation can be derived from the Navier—Stokes equations.

Hagen–Poiseuille equation

This means that the flow rate depends on the heat transfer to and from the fluid. You must have JavaScript enabled in your browser to utilize the functionality of this website.


That intersection is at a radius of r. The expression is valid for all laminae. Transport in Microfluidic Devices.

For ordering the dangerous good or other information please contact our customer service center. In both cases, laminar or turbulent, the pressure drop is related to the stress at the wall, which determines the so-called friction factor. By Newton’s third law of motionthe force on the slower liquid is equal and opposite no negative sign to the force on the faster liquid.

To get the total volume that flows through the tube, we need to add up the contributions from each lamina. When two layers of liquid in contact with each other move at different speeds, there will be a shear force between them. For the address of your local distributor, please contact us per email: This hydraulic analogy is still of some use in teaching.

For an ideal gas in the isothermal case, where the temperature of the fluid is permitted to equilibrate with its surroundings, and when the pressure difference between ends of the pipe is small, the volumetric flow rate at the pipe outlet is given by.

Hagen–Poiseuille equation – Wikipedia

Normally, Hagen-Poiseuille flow implies not just the relation for the pressure drop, above, but also the full solution for the laminar flow profile, which is parabolic. However, hagen-poisduille also follows that the resistance R is inversely proportional to the fourth power of the radius ri. The Navier-Stokes equations reduce to. For velocities and pipe diameters above a threshold, actual fluid flow is not laminar but turbulentleading to larger pressure drops than calculated by the Hagen—Poiseuille equation.


The Hagen—Poiseuille equation is useful in determining the flow rate of intravenous fluids that may be achieved using various sizes of peripheral and central cannulas.

It is subject to the following boundary conditions:. These are not available for online purchase. Electron gas is inviscid, so its velocity does not depend on the distance to the walls of the conductor.

Gesetz von Hagen-Poiseuille es: Laws Conservations Energy Mass Momentum. Stand base, V-shaped, large. The law is also very important specially in hemorheology and hemodynamicsboth fields of physiology. As an example, the flow of a 14G cannula is typically twice that of a 16G, and d times that of a 20G.

Poiseuille’s law – Academic Kids

Hagenbach was the first who called this law the Poiseuille’s law. From Wikipedia, the free encyclopedia. This is the charge that flows through the cross section per unit time, i. We will get back to you as soon as possible.