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The Euler number (Eu) is a dimensionless number used in fluid flow calculations. It expresses the relationship between a local pressure drop caused by a restriction and the kinetic energy per volume of the flow, and is used to characterize energy losses in the flow, where a perfect frictionless flow corresponds to an Euler number of 0.
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
In fluid dynamics, the Euler equations are a set of ... relations in Euler equations, defining the Froude number, ... and Geophysical Fluid Dynamics - Mechanics, ...
Leonhard Euler is credited of introducing both specifications in two publications written in 1755 [3] and 1759. [4] [5] Joseph-Louis Lagrange studied the equations of motion in connection to the principle of least action in 1760, later in a treaty of fluid mechanics in 1781, [6] and thirdly in his book Mécanique analytique. [5]
fluid mechanics, geology (ratio of grain collision stresses to viscous fluid stresses in flow of a granular material such as grain and sand) [7] Bejan number (fluid mechanics) Be = fluid mechanics (dimensionless pressure drop along a channel) [8] Bejan number (thermodynamics) Be
Category for dimensionless numbers in the area of fluid mechanics. See also Category:Equations of fluid dynamics. ... Euler number (physics) F. Fanning friction factor;
7 Forward Euler approximation. ... Numerical methods in fluid mechanics. ... i.e. the process of taking differential equations with an infinite number of degrees of ...
In continuum mechanics, the Froude number ... Euler equations (fluid dynamics) – Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow;