CouettePoiseuillevirtausta

Couette-Poiseuille solution is a seminal solution in hydrodynamics and fluid mechanics. The solution describes the laminar flow of a viscous fluid through a cylindrical pipe. This solution was first derived by Charles-Eugène Guye and Hermann Foppl in the early 20th century, and later rederived by Irving Langmuir.

The solution combines the ideas of Charles-Albert Gabriel-Félix Marie Auguste Couette, a French physicist who studied the flow of viscous fluid between two coaxial cylinders, and Jean-Léon-Marie Poiseuille, who studied the flow of fluid through a cylindrical pipe. The resulting equation describes the velocity profile of the flow, with a parabolic distribution of velocity across the diameter of the pipe.

The Couette-Poiseuille solution is widely used to model fluid flow through microchannels, capillary electrophoresis, and other micro- and nano-scale fluid dynamics applications. The solution is important in the field of engineering and biomedical applications where understanding fluid flow is critical, such as in the development of drug delivery systems and lab-on-a-chip devices.

The Couette-Poiseuille equation, also known as the Hagen-Poiseuille equation, has been fundamental to the development of many areas of science and engineering. The solution helps researchers to understand and predict complex fluid flows and pressure drops in miniature systems, allowing for more accurate design of these systems. Additionally, this solution has led to the development of new technologies and applications in the fields of chemistry, biology, and engineering.