The Prony equation (named after Gaspard de Prony) is a historically important equation in hydraulics, used to calculate the head loss due to friction within a given run of pipe. It is an empirical equation developed by Frenchman Gaspard de Prony in the 19th century:
where hf is the head loss due to friction, calculated from: the ratio of the length to diameter of the pipe L/D, the velocity of the flow V, and two empirical factors a and b to account for friction.
This equation has been supplanted in modern hydraulics by the Darcy–Weisbach equation, which used it as a starting point.
The Pronyequation (named after Gaspard de Prony) is a historically important equation in hydraulics, used to calculate the head loss due to friction within...
signal Pronyequation, hydraulics equation for fictional head loss Prony series, a model of viscoelasticity Prony brake, torque measurement device Prony Bay...
Baron Gaspard Clair François Marie Riche de Prony (22 July 1755 – 29 July 1839) was a French mathematician and engineer, who worked on hydraulics. He...
Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...
politics of the Dijon city government. During this period he modified the Pronyequation for calculating head loss due to friction, which after further modification...
more empirical approaches are the Hazen–Williams equation and the Pronyequation. For relatively short pipe systems, with a relatively large number of...
This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...
the coefficient of the Prony series. So, if one has creep data, it is not easy to get the coefficients of the (relaxation) Prony series, which are needed...
committee of the Académie (composed of Prony, Dupin, and Girard) reported favorably on Burdin's memo. See: Prony and Girard (1824) "Rapport sur le mémoire...
functions are approximated as complex exponentials with methods such as Prony's method or generalized pencil of function, and the integral is evaluated...
running water was greatly advanced by the researches of Gaspard Riche de Prony (1755–1839). From a collection of the best experiments by previous workers...
called Tables du Cadastre, was constructed under the direction of Gaspard de Prony, by an original computation, under the auspices of the French republican...
modeling methods vary greatly and are extremely complex, so the empirical Prony Series description is commonly used to describe the viscoelastic behavior...
tables went beyond the tables of Henry Briggs, Adriaan Vlacq, and Gaspard de Prony. Sang was born in Kirkcaldy on 30 January 1805, the son of Jean Nicol and...
stalled de Prony project, and lobbying for the support of the Royal Society. In works of the 1820s and 1830s, Babbage referred in detail to de Prony's project...
Pierre- Simon Laplace, Louis Lefèvre-Ginneau, Pierre Méchain and Gaspar de Prony. In 1799, a commission including Johan Georg Tralles, Jean Henri van Swinden...
Arithmometer by Thomas de Colmar in 1820. Dynamometer by Gaspard de Prony (de Prony brake) in 1821. Complex analysis and complex function theory by Augustin-Louis...
James Watt invention of the late 18th century), and later by means of a Prony brake connected to the engine's output shaft. Modern dynamometers use any...
application-specific techniques have been developed. For example, like DMD, Prony's method represents a signal as the superposition of damped sinusoids. In...
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