<?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>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2008000100003</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Drag reduction by microbubble injection in a channel flow]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gutiérrez Torres]]></surname>
<given-names><![CDATA[C. del C.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hassan]]></surname>
<given-names><![CDATA[Y. A]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jiménez Bernal]]></surname>
<given-names><![CDATA[J. A]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barbosa Saldaña]]></surname>
<given-names><![CDATA[J.G]]></given-names>
</name>
<xref ref-type="aff" rid="A04"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Collage Station  ]]></institution>
<addr-line><![CDATA[ Tx]]></addr-line>
</aff>
<aff id="A03">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A04">
<institution><![CDATA[,Instituto Politécnico Nacional  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>02</month>
<year>2008</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>02</month>
<year>2008</year>
</pub-date>
<volume>54</volume>
<numero>1</numero>
<fpage>8</fpage>
<lpage>14</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2008000100003&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2008000100003&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2008000100003&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The injection of microbubbles within the turbulent boundary layer in a channel is investigated to elucidate the drag reduction phenomenon. Experimental data for a fully developed flow were obtained using the Particle Image Velocimetry (PIV) technique for single-and two-phase flow. Both cases are compared to examine the effects of the presence of microbubbles within the boundary layer, specifically the modification of vorticity, vortex structures, and fluctuating rate of strain, which is directly related to the energy dissipation in turbulent flows. A notorious decrease in the rate of strain as well as vorticity was observed for the two-phase flow. These results are significant and will help to reveal the physical mechanism of drag reduction by injection of microbubbles.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La inyección de microburbujas en la capa límite turbulenta en el flujo dentro de un canal es investigada para entender el fenómeno de reducción del arrastre. Resultados experimentales en un flujo totalmente desarrollado dentro de un canal cerrado fueron obtenidos utilizando la técnica de Velocimetría por Imágenes de Partículas (PIV) para una sola fase y dos fases. Ambos casos son comparados para analizar los efectos de la presencia de las microburbujas dentro de la capa límite. Específicamente las modificaciones en la vorticidad, vórtices y tasa de deformación. Esta última directamente relacionada con la disipación de energía en flujo turbulento. Estos resultados son significativos y pueden ayudar a entender de manera mas precisa el mecanismo físico de la reducción del arrastre por inyección de microburbujas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Microbubbles]]></kwd>
<kwd lng="en"><![CDATA[drag reduction]]></kwd>
<kwd lng="en"><![CDATA[channel flow]]></kwd>
<kwd lng="es"><![CDATA[Microburbujas]]></kwd>
<kwd lng="es"><![CDATA[reducción del arrastre]]></kwd>
<kwd lng="es"><![CDATA[flujo en un canal]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4">Investigaci&oacute;n</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="4"><b>Drag reduction by microbubble injection in a channel flow</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>C. del C. Guti&eacute;rrez Torres<sup>a</sup>, Y.A. Hassan<sup>b</sup>, J.A. Jim&eacute;nez Bernal<sup>c</sup>, J.G. Barbosa Salda&ntilde;a<sup>d</sup></b></font></p>     <p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>a </sup>Instituto Polit&eacute;cnico Nacional, SEPI&#150;ESIME Zacatenco, U.P. Adolfo L&oacute;pez Mateos Edif. 5, 3er Piso Col. Lindavista, 07738, e&#150;mail: <a href="mailto:cgutierrezt@ipn.mx" target="_blank">cgutierrezt@ipn.mx</a></i></font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>b</sup> Texas A&amp;M University, Collage Station, Tx. 77843&#150;3133, e&#150;mail: <a href="mailto:y&#150;hassan@tamu.edu" target="_blank">y&#150;hassan@tamu.edu</a></i></font></p>     <p align="justify"><font face="verdana" size="2"><sup>c</sup>   <i>Instituto Polit&eacute;cnico Nacional, SEPI&#150;ESIME Zacatenco, U.P. Adolfo L&oacute;pez Mateos Edif. 5, 3er Piso Col. Lindavista, 07738, e&#150;mail: <a href="mailto:jjimenezb@ipn.mx" target="_blank">jjimenezb@ipn.mx</a></i></font></p>     <p align="justify"><font face="verdana" size="2"><i><sup>d</sup></i>   <i>Instituto Polit&eacute;cnico Nacional, SEPI&#150;ESIME Zacatenco, U.P. Adolfo L&oacute;pez Mateos Edif. 5, 3er Piso Col. Lindavista, 07738, e&#150;mail: <a href="mailto:jbarbosas@ipn.mx" target="_blank">jbarbosas@ipn.mx</a></i></font></p>     ]]></body>
<body><![CDATA[<p align="center"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Recibido el 26 de marzo de 2007    <br>   Aceptado el 24 de enero de 2008</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     <p align="justify"><font face="verdana" size="2">The injection of microbubbles within the turbulent boundary layer in a channel is investigated to elucidate the drag reduction phenomenon. Experimental data for a fully developed flow were obtained using the Particle Image Velocimetry (PIV) technique for single&#150;and two&#150;phase flow. Both cases are compared to examine the effects of the presence of microbubbles within the boundary layer, specifically the modification of vorticity, vortex structures, and fluctuating rate of strain, which is directly related to the energy dissipation in turbulent flows. A notorious decrease in the rate of strain as well as vorticity was observed for the two&#150;phase flow. These results are significant and will help to reveal the physical mechanism of drag reduction by injection of microbubbles.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>Microbubbles; drag reduction; channel flow.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>     <p align="justify"><font face="verdana" size="2">La inyecci&oacute;n de microburbujas en la capa l&iacute;mite turbulenta en el flujo dentro de un canal es investigada para entender el fen&oacute;meno de reducci&oacute;n del arrastre. Resultados experimentales en un flujo totalmente desarrollado dentro de un canal cerrado fueron obtenidos utilizando la t&eacute;cnica de Velocimetr&iacute;a por Im&aacute;genes de Part&iacute;culas (PIV) para una sola fase y dos fases. Ambos casos son comparados para analizar los efectos de la presencia de las microburbujas dentro de la capa l&iacute;mite. Espec&iacute;ficamente las modificaciones en la vorticidad, v&oacute;rtices y tasa de deformaci&oacute;n. Esta Ãºltima directamente relacionada con la disipaci&oacute;n de energ&iacute;a en flujo turbulento. Estos resultados son significativos y pueden ayudar a entender de manera mas precisa el mecanismo f&iacute;sico de la reducci&oacute;n del arrastre por inyecci&oacute;n de microburbujas.</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Descriptores: </b>Microburbujas; reducci&oacute;n del arrastre; flujo en un canal.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">PACS: 47.60.+i</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v54n1/v54n1a3.pdf">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a>  </font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. M.E. Mccormick and R. 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