<?xml version="1.0" encoding="utf-16"?><front xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.0/xsd/JATS-journalpublishing1.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><journal-meta><journal-id journal-id-type="publisher-id">IJMMS</journal-id><journal-title-group><journal-title>International Journal of Mathematics and Mathematical Sciences</journal-title></journal-title-group><issn pub-type="epub">1687-0425</issn><issn pub-type="ppub">0161-1712</issn><publisher><publisher-name>Hindawi Publishing Corporation</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">579315</article-id><article-id pub-id-type="doi">10.1155/S0161171281000628</article-id><title-group><article-title>Influence of wall waviness on friction and pressure drop in channels</article-title></title-group><contrib-group><contrib contrib-type="author" id="U68124148"><name><surname>Vajravelu</surname><given-names>K.</given-names></name><xref ref-type="aff" rid="I1"><sup>1</sup></xref></contrib><contrib contrib-type="author" id="U45401518"><name><surname>Nayfeh</surname><given-names>Ali H.</given-names></name><xref ref-type="aff" rid="I2"><sup>2</sup></xref></contrib></contrib-group><aff id="I1"><sup>1</sup><addr-line>Department of Mathematics</addr-line><addr-line>East Carolina University</addr-line><addr-line>Greenville, North Carolina 27834</addr-line><country>USA</country><ext-link ext-link-type="domain-name">ecu.edu</ext-link></aff><aff id="I2"><sup>2</sup><addr-line>Department of Engineering Science and Mechanics</addr-line><addr-line>Virginia Polytechnic Institute and State University</addr-line><addr-line>Blacksburg, Virginia 24061</addr-line><country>USA</country><ext-link ext-link-type="domain-name">vt.edu</ext-link></aff><pub-date pub-type="publication-year"><year>1981</year></pub-date><volume>4</volume><issue>4</issue><fpage>805</fpage><lpage>818</lpage><history><date date-type="received"><day>07</day><month>11</month><year>1980</year></date></history><permissions><copyright-year>1981</copyright-year><copyright-holder>Copyright © 1981 Hindawi Publishing Corporation</copyright-holder></permissions><abstract><p>An attention has been given to investigate the flow behavior of an
incompressible viscous fluid confined in horizontal wavy channels and set in motion due to the movement of the upper wall and the pressure differences. The governing equations have been solved analytically as well as numerically subject to the relevant boundary conditions by assuming that the solution consists of two parts: a mean part and a disturbance or perturbed part. For small and moderate Reynolds numbers, the analytical solution for the perturbed part has been found to be in good agreement with the numerical one. The effects of Reynolds number, the pressure gradient parameter, and the undulation wavenumber on friction and pressure drop are found to be quite significant. In addition to the flow behavior for both long and short waves and for large Reynolds numbers, the effect of the wall waviness on friction and pressure drop has been examined for
any arbitrary amplitude of the wavy wall.</p></abstract><kwd-group><kwd>incompressible viscous flow</kwd><kwd>laminar flow</kwd><kwd>pressure drop</kwd><kwd>skin friction</kwd><kwd>and waviness</kwd></kwd-group><counts><ref-count count="7" /><page-count count="14" /></counts></article-meta></front>
