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- The Hagen-Poiseuille equation describes the relationship between pressure drop and flow rate in a cylindrical pipe for laminar flow1. It is used to calculate the flow rate in a pipe based on factors such as pipe radius, fluid viscosity, and pipe length2. The equation is given as: Q = (P2 - P1) πr^4 / 8ηl3.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The Hagen-Poiseuille equation is a fundamental concept in fluid dynamics, describing the relationship between pressure drop and flow rate in a cylindrical pipe for laminar flow. Developed by Gotthilf Hagen and Jean Léonard Marie Poiseuille in the 19th century, this equation remains widely applicable in engineering and industrial processes.engineerexcel.com/hagen-poiseuille-equation/To summarize the laminar flow equation: ➔ The flow rate is directly proportional to the radius of the pipe. Thus, the small increase in pipe diameter can significantly increase the flow rate in the system. ➔ The flow rate is inversely proportional to the length of the pipe as well as the coefficient of viscosity of the fluid.resources.system-analysis.cadence.com/blog/msa…the rate of laminar flow of an incompressible fluid in a tube: Q = (P2 − P1) πr4 /8 ηlopenbooks.lib.msu.edu/collegephysics1/chapter/vis…
12.4: Viscosity and Laminar Flow; Poiseuille’s Law
See results only from phys.libretexts.org28.6: Laminar and Turbulen…
Equation (28.4.38) can be integrated by the method of separation of variables with …
15: Laminar Flow - Mathema…
Plane Couette flow; Channel flow; Pipe flow; Smoothly flowing fluids, with the …
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Hagen-Poiseuille Equation: Essential Guide for Fluid …
Learn how to apply the Hagen-Poiseuille equation to calculate pressure drop, flow rate, and resistance in laminar flow of incompressible and Newtonian fluids in cylindrical pipes. Explore the derivation, assumptions, limitations, and …
12.4 Viscosity and Laminar Flow; Poiseuille’s Law
Learn how viscosity affects the rate and resistance of fluid flow in laminar and turbulent regimes. Explore the definition, measurement, and applications of viscosity and Poiseuille’s law for flow in tubes.
12.4 Viscosity and Laminar Flow; Poiseuille’s Law – …
Learn how viscosity affects the rate of fluid flow and the pressure drop in laminar flow. Explore the definition, measurement, and applications of viscosity and Poiseuille’s law for tubes.
12.4 Viscosity and Laminar Flow; Poiseuille’s Law – …
Laminar flow is characterized by smooth flow of the fluid in layers that do not mix. Turbulence is characterized by eddies and swirls that mix layers of fluid together. Fluid viscosity is due to friction within a fluid.
Viscosity and Laminar Flow; Poiseuille’s Law | Physics …
This equation describes laminar flow through a tube. It is sometimes called Poiseuille’s law for laminar flow, or simply Poiseuille’s law.
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