True first formula of the uniform regime

Abstract

The main objective of this technical article is to redesign the first form of the uniform regimen, which during the revision and search in the International and Internet bibliography, respectively, confirms that the first formula for the evaluation of this regime is engineer Francés Antóine de Chézy in 1769, considered as a paradigm of canal hydraulics. In 1789, the Irish engineer Robert Manning presented his formula, which is currently the most widely used in the regime of this regime. The author of this technical article, to carry out an analysis of the definition of uniform regimen, considers that in addition to being similar formulas, does not represent in general terms the real conditions, because they are conceptually unique and exclusively for the fluent turbulence it is for the quadrature resistance zone (complete turbulence zone in the Moody chart), given the coefficients of Chézy (CCH) and Manning (nM), independent of the Reynolds number. It is known that the turbulent fluid is divided into three categories according to the number of Reynolds (Re) and relative rugosity (Kr), its son, full turbulent fluid, (CCH and nM), depends solely on the relative rugosity (Kr), turbulent transient fluid, (CCH and nM), its function of (Re and Kr), and the turbulent fluid is only dependent on the number of Reynolds (Re). It is concluded that the first formulation of the uniform regimen is the general formula of fluid resistance and also constitutes the origin of the Chezy formula.