Poiseuille's law is sometimes referred to as the Hagen-Poiseuille law, because it was developed by a pair of researchers, French physicist Jean Leonard Marie Poiseuille and German hydraulics engineer Gotthilf Hagen, in the 1800s. According to this law, the flow rate (F) through a pipe of length L and radius r is given by:

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Pipe velocity

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There are several answers to this question but when it relates to flowmeters that can be used on different pipe sizes, the specification describing the limitations of the meter are often expressed as a velocity unit e.g. m/s

Flow rate calculator

How can I quickly calculate the flow velocity in a pipe if I know the pipe size and the volumetric flow rate?  Example = Let’s say I have a volume flow meter (oval gear meter) and it is showing me that the flow rate is 100 GPM flowing in a 4 inch pipe? What will be the velocity in m/s (meters per second)

When choosing a meter, it is important to look at the application. For example, if the flow rate is very low, then it is important to know the minimum velocity at which a flow meter will begin to work at an acceptable accuracy. The same can apply to high flow rates. A meter may have mechanical limitations which make it impossible to measure over a certain velocity.

If you maintain a water system at constant pressure, you can calculate a value for the constant K after looking up the viscosity of water at the ambient temperature and expressing it in units compatible with your measurements. By maintaining the length of the pipe constant, you now have a proportionality between the fourth power of the radius and flow rate, and you can calculate how the rate will change when you change the radius. It's also possible to maintain the radius constant and vary the pipe length, although this would require a different constant. Comparing predicted to measured values of flow rate tells you how much turbulence and friction affect the results, and you can factor this information into your predictive calculations to make them more accurate.

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As long as the temperature doesn't change, the viscosity of water remains constant, and if you are considering flow rate in a water system under fixed pressure and constant pipe length, you can rewrite Poiseuille's law as:

Pipe velocity is the speed at which fluid flows through a pipe and is usually measured in terms of m/s or ft/s, considering the pipe inside diameter. The velocity.

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Physicists and engineers use Poiseuille's law to predict the velocity of water through a pipe. This relationship is based on the assumption that the flow is laminar, which is an idealization that's more applicable to small capillaries than to water pipes. Turbulence is almost always a factor in larger pipes, as is friction caused by the interaction of the fluid with the pipe walls. These factors are difficult to quantify, especially turbulence, and Poiseuille's law doesn't always give an accurate approximation. However, if you maintain constant pressure, this law can give you a good idea of how flow rate differs when you change the pipe dimensions.

Chris Deziel holds a Bachelor's degree in physics and a Master's degree in Humanities, He has taught science, math and English at the university level, both in his native Canada and in Japan. He began writing online in 2010, offering information in scientific, cultural and practical topics. His writing covers science, math and home improvement and design, as well as religion and the oriental healing arts.

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Note: This calculator is designed for incompressible liquids and the output values volume flow are an uncorrected flow rate. If using an inferential type of flow meter, a Reynolds number compensation should be applied for greater precision.

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