<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1405-7743</journal-id>
<journal-title><![CDATA[Ingeniería, investigación y tecnología]]></journal-title>
<abbrev-journal-title><![CDATA[Ing. invest. y tecnol.]]></abbrev-journal-title>
<issn>1405-7743</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Facultad de Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-77432019000200009</article-id>
<article-id pub-id-type="doi">10.22201/fi.25940732e.2019.20n2.021</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Evaluación experimental de la solución analítica exacta de la ecuación de Colebrook-White]]></article-title>
<article-title xml:lang="en"><![CDATA[Experimental evaluation of exact analytical solution of the Colebrook-White Equation]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alfaro-Guerra]]></surname>
<given-names><![CDATA[Marco]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Guerra-Rojas]]></surname>
<given-names><![CDATA[Rodrigo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Olivares-Gallardo]]></surname>
<given-names><![CDATA[Alan]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de La Serena Instituto de Investigación Multidisciplinario en Ciencia y Tecnología ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de La Serena Facultad de Ingeniería ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad de La Serena Facultad de Ingeniería ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2019</year>
</pub-date>
<volume>20</volume>
<numero>2</numero>
<fpage>0</fpage>
<lpage>0</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-77432019000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-77432019000200009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-77432019000200009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En el presente trabajo se diseñó y construyó un sistema hidráulico para la determinación experimental del factor de fricción en una tubería de PVC bajo flujo turbulento. Este sistema permite conducir el agua por una tubería donde se midieron el caudal y la diferencia de presión para calcular la pérdida de carga entre dos puntos de control, considerando las propiedades asociadas a la tubería como es la rugosidad relativa, su diámetro y longitud. Utilizando la ecuación de Darcy-Weisbach se determinó el factor de fricción experimental. El objetivo del presente trabajo fue evaluar en forma experimental el factor de fricción y compararlo con el obtenido utilizando la fórmula n-ésima como aproximación de la solución exacta de la ecuación de Colebrook-White propuesta por Mikata y Walczak en 2015. La fórmula n-ésima predice el factor de fricción con un error relativo que tiende a disminuir dependiendo de la profundidad de la recursión. En nuestro análisis, para un valor de n igual a 15 el error en la determinación del factor de fricción reportó valores inferiores a 1E-16. Se desarrolló una macro de Excel en lenguaje VBA para evaluar la recursión dada la dificultad numérica de resolver el valor analítico exacto de la ecuación de Colebrook-White. La originalidad del presente trabajo corresponde a la evaluación de la fórmula n-ésima del factor de fricción y su comparación con los resultados experimentales obtenidos en el laboratorio, lo que permite probar la validez de la predicción de la fórmula con un caso real. Esto permitió encontrar el error relativo porcentual respecto al valor experimental.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In the present work a hydraulic system was designed and built for the experimental determination of the friction factor in a PVC pipe under turbulent flow. This system allows the water to be conducted through a pipeline where the flow and the pressure difference were measured to calculate the pressure loss between two control points, considering the properties associated with the pipe such as the relative roughness, diameter and length. Using the Darcy-Weisbach equation, the experimental friction factor was determined. The objective of the present work was to experimentally evaluate the friction factor and compare it with that obtained using the nth formula as an approximation of the exact solution of the Colebrook-White equation proposed by Mikata and Walczak in 2015. The nth formula, this predicts the friction factor with a relative error that tends to decrease depending on the depth of the recursion. In our analysis, for a value of n equal to 15, the error in the determination of the friction factor reported values lower than 1E-16. An Excel macro was developed in VBA language to evaluate the recursion given the numerical difficulty of solving the exact analytical value of the Colebrook-White equation. The originality of this work corresponds to the evaluation of the nth formula of the friction factor and its comparison with the experimental results obtained in the laboratory, which allows to prove the validity of the prediction of the formula with a real case. This allowed finding the percentage relative error with respect to the experimental value.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Factor de fricción]]></kwd>
<kwd lng="es"><![CDATA[solución analítica de la ecuación de Colebrook-White]]></kwd>
<kwd lng="es"><![CDATA[caída de presión en tuberías]]></kwd>
<kwd lng="es"><![CDATA[recursión infinita]]></kwd>
<kwd lng="es"><![CDATA[sistema experimental]]></kwd>
<kwd lng="en"><![CDATA[Friction factor]]></kwd>
<kwd lng="en"><![CDATA[analytical solution of the Colebrook-White Equation]]></kwd>
<kwd lng="en"><![CDATA[pressure drop in pipes]]></kwd>
<kwd lng="en"><![CDATA[infinite recursion]]></kwd>
<kwd lng="en"><![CDATA[experimental system]]></kwd>
</kwd-group>
</article-meta>
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