Publicación: Conducciones forzadas: una contribución teórica a la deducción de la función aproximada de Christiansen
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El cálculo de las pérdidas de carga en una tubería con distribución discreta del gasto, régimen permanente y uniforme, caudal constante por derivación y salidas equidistantes (conducción a presión con servicio en ruta), fue abordado y resuelto por Christiansen en el año 1942, para el caso en que la primera derivación estuviera situada a una distancia del extremo aguas arriba de la tubería igual al espaciamiento existente entre todas las derivaciones. Posteriormente, en 1957, Jensen y Fratini introdujeron la correspondiente modificación en el valor del coeficiente de Christiansen para el caso de que la primera salida se hallara a una distancia del comienzo del ramal (línea portagoteros o portaaspersores) igual a la mitad de su espaciamiento. Dichas circunstancias se vienen presentando, sistemáticamente, en el diseño de las redes de riego por aspersión y en los localizados de alta frecuencia (microaspersión, exudación y goteo). El ensayo original, de tipo académico e ingenieril, que se desarrolla a continuación, trata de la justificación matemática de la función aproximada de Christiansen, que constituye un tema de notable interés teórico y de escasa o nula difusión en la bibliografía especializada existente al respecto.
The estimate of loss of cargo in a pipeline with a discreet cost distribution, a permanent and uniform regimen, a constant flow by derivation and equidistant outlets (conduction under pressure with service in route), was approached and resolved by Christiansen in 1942, in which case the first derivation is situated at the farthest distance upstream of the pipeline equal to the existing space between the derivations. Later, in 1957, Jensen and Fratini introduced the corresponding modification in the value of the coefficient by Christiansen, in which case the first outlet of the branch is found at a distance (sprinkling or spray line) equal to half of its space. Such circumstances occur systematically, in the design of watering networks by spray and in those sites of high frequency (microspray, exudation and sprinkling). The original study of an academic and engineering nature, which is developed subsequently deals with Christiansen's mathematical justification, and constitutes a theme of notable theoretical interest with little or no diffusion in the existent specialized bibliography in this material.
The estimate of loss of cargo in a pipeline with a discreet cost distribution, a permanent and uniform regimen, a constant flow by derivation and equidistant outlets (conduction under pressure with service in route), was approached and resolved by Christiansen in 1942, in which case the first derivation is situated at the farthest distance upstream of the pipeline equal to the existing space between the derivations. Later, in 1957, Jensen and Fratini introduced the corresponding modification in the value of the coefficient by Christiansen, in which case the first outlet of the branch is found at a distance (sprinkling or spray line) equal to half of its space. Such circumstances occur systematically, in the design of watering networks by spray and in those sites of high frequency (microspray, exudation and sprinkling). The original study of an academic and engineering nature, which is developed subsequently deals with Christiansen's mathematical justification, and constitutes a theme of notable theoretical interest with little or no diffusion in the existent specialized bibliography in this material.
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pipeline, irrigation, sprinkling, dripping, approach, flow, exits, en-route service, pressure drop, tubería, riego, aspersión, goteo, aproximación, caudal
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