<?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>1390-860X</journal-id>
<journal-title><![CDATA[Ingenius. Revista de Ciencia y Tecnología ]]></journal-title>
<abbrev-journal-title><![CDATA[Ingenius]]></abbrev-journal-title>
<issn>1390-860X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Politécnica Salesiana]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1390-860X2023000200054</article-id>
<article-id pub-id-type="doi">10.17163/ings.n30.2023.05</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[CORRELACIÓN PARA EL CÁLCULO DE LA FRICCIÓN TURBULENTA EN TUBERÍAS]]></article-title>
<article-title xml:lang="en"><![CDATA[CORRELATION FOR THE CALCULATION OF TURBULENT FRICTION IN PIPES]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Tolentino]]></surname>
<given-names><![CDATA[San Luis]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[Omar]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional de Ingeniería  ]]></institution>
<addr-line><![CDATA[Lima ]]></addr-line>
<country>Peru</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,aff2  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Perú</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2023</year>
</pub-date>
<numero>30</numero>
<fpage>54</fpage>
<lpage>63</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.senescyt.gob.ec/scielo.php?script=sci_arttext&amp;pid=S1390-860X2023000200054&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.senescyt.gob.ec/scielo.php?script=sci_abstract&amp;pid=S1390-860X2023000200054&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.senescyt.gob.ec/scielo.php?script=sci_pdf&amp;pid=S1390-860X2023000200054&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  En los sistemas hidráulicos de redes de tuberías, uno de los parámetros fundamentales es el factor de fricción &#955;. El factor de fricción se determina con la ecuación implícita de Colebrook-White por medios iterativos, lo cual dificulta su aplicación. En el presente trabajo se construye una correlación basada en el método recursivo para el cálculo del factor de fricción, para lo cual se empleó la ecuación de Colebrook-White. Para el cierre de la correlación se proponen dos relaciones empíricas, donde sus coeficientes y exponentes fueron calibrados en Excel 2019. Se compararon los resultados de las dos relaciones que se proponen con las relaciones de Swamee-Jain y Haaland, para incrementos recursivos, donde para la correlación &#955;8 se obtuvo el error porcentual máximo del factor de fricción de 0,0000017 %, para la rugosidad relativa de 0,00001 y número de Reynolds 4000; así como, los decimales arrojaron siete dígitos decimales exactos para el factor de fricción. Para Reynolds mayores de 4000, el error porcentual disminuye. Se concluye que la correlación en función de las relaciones explícitas que se proponen satisface a la solución de la ecuación implícita de Colebrook-White.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  One of the essential parameters in hydraulic systems of pipe networks is the friction factor &#955;. The friction factor is determined using the implicit Colebrook-White equation through iterative methods, which makes its application challenging. In this work, a correlation based on the recursive method is developed to calculate the friction factor using the Colebrook-White equation. Two empirical relationships are proposed to finalise the correlation, with coefficients and exponents calibrated in Excel 2019. The results of the two proposed relationships were compared with the Swamee-Jain and Haaland relationships for recursive increments. For the &#955;8 correlation, the maximum percentage error of the friction factor was 0,0000017%, for a relative roughness of 0,00001 and a Reynolds number of 4000. Additionally, the calculations yielded seven exact decimal digits for the friction factor. For Reynolds numbers greater than 4000, the percentage error decreases. As a result, it is concluded that the correlation based on the proposed explicit relationships satisfies the solution of the implicit Colebrook-White equation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[correlación]]></kwd>
<kwd lng="es"><![CDATA[ecuación de Colebrook-White]]></kwd>
<kwd lng="es"><![CDATA[error porcentual]]></kwd>
<kwd lng="es"><![CDATA[factor de fricción]]></kwd>
<kwd lng="es"><![CDATA[método recursivo]]></kwd>
<kwd lng="en"><![CDATA[Correlation]]></kwd>
<kwd lng="en"><![CDATA[Colebrook-White equation]]></kwd>
<kwd lng="en"><![CDATA[Percentage error]]></kwd>
<kwd lng="en"><![CDATA[Friction factor]]></kwd>
<kwd lng="en"><![CDATA[Recursive method]]></kwd>
</kwd-group>
</article-meta>
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