Euler's pump and turbine equation
Encyclopedia
Euler's pump and turbine equation, named after Leonhard Euler
Leonhard Euler
Leonhard Euler was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion...

, is an equation used in centrifugal compressor
Centrifugal compressor
Centrifugal compressors, sometimes termed radial compressors, are a sub-class of dynamic axisymmetric work-absorbing turbomachinery.The idealized compressive dynamic turbo-machine achieves a pressure rise by adding kinetic energy/velocity to a continuous flow of fluid through the rotor or impeller...

s and other turbo-machinery.


where is the shaft input power, the values are blade tip velocities, and the tangential components of fluid velocities leaving the blades, at positions 1 and 2, input and output, respectively.
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