Publicación: Water duct with intermediate taking. Application of the theory of optimization and generalization of the problem
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En el presente trabajo se aborda el estudio de una tubería o conducto de agua a presión provisto de una toma intermedia con salida libre por su extremo, aplicándose también la teoría de la optimización clásica y alguna nueva formulación propuesta por el autor. El problema se generaliza al aumentar el número de tomas o salidas equidistantes del conducto de igual caudal, con la determinación correspondiente de la pérdida de carga resultante mediante el empleo de la formulación de Christiansen, que obvia el proceso de cálculo iterativo que resulta altamente farragoso si dicho número de salidas es importante, como sucede en los riegos por aspersión o localizados de alta frecuencia. Se considera, por último, el estudio del caso de una tubería que distribuye el caudal de manera uniforme en toda su longitud.
The present work deals with the study of a pressure water pipe or conduit provided with an intermediate outlet with free exit at its end is applied, also applying the theory of classical optimization and some new formulation proposed by the author. The problem is generalized by increasing the number of equidistant outlets or outlets of the conduit of equal flow, with the corresponding determination of the resulting head loss by using the Christiansen formulation, which obviates the iterative calculation process that is highly cumbersome if this number of exits is important, as it happens in sprinkler or localized high frequency irrigation. Finally, it is considered the case study of a pipeline that distributes the flow uniformly over its entire length.
The present work deals with the study of a pressure water pipe or conduit provided with an intermediate outlet with free exit at its end is applied, also applying the theory of classical optimization and some new formulation proposed by the author. The problem is generalized by increasing the number of equidistant outlets or outlets of the conduit of equal flow, with the corresponding determination of the resulting head loss by using the Christiansen formulation, which obviates the iterative calculation process that is highly cumbersome if this number of exits is important, as it happens in sprinkler or localized high frequency irrigation. Finally, it is considered the case study of a pipeline that distributes the flow uniformly over its entire length.
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conducción forzada, nivel piezométrico, pérdida de carga, optimización, coeficiente reductor, derivación, tubería, caudal, diámetro, forced conduction, piezometric level, headloss, optimization, reducing coefficient, pipeline
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