{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T12:05:30Z","timestamp":1759838730720,"version":"3.41.2"},"reference-count":19,"publisher":"ASME International","issue":"10","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2012,10,1]]},"abstract":"<jats:p>This technical brief presents a numerical study regarding the required development length (L=Lfd\/H) to reach fully developed flow conditions at the entrance of a planar channel for Newtonian fluids under the influence of slip boundary conditions. The linear Navier slip law is used with the dimensionless slip coefficient k\u00afl=kl(\u03bc\/H), varying in the range 0&lt;k\u00afl\u22641. The simulations were carried out for low Reynolds number flows in the range 0&lt;Re\u2264100, making use of a rigorous mesh refinement with an accuracy error below 1%. The development length is found to be a nonmonotonic function of the slip velocity coefficient, increasing up to k\u00afl\u22480.1-0.4 (depending on Re) and decreasing for higher k\u00afl. We present a new nonlinear relationship between L, Re, and k\u00afl that can accurately predict the development length for Newtonian fluid flows with slip velocity at the wall for Re of up to 100 and k\u00afl up to 1.<\/jats:p>","DOI":"10.1115\/1.4007383","type":"journal-article","created":{"date-parts":[[2012,10,1]],"date-time":"2012-10-01T00:19:23Z","timestamp":1349050763000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":10,"title":["Development Length in Planar Channel Flows of Newtonian Fluids Under the Influence of Wall Slip"],"prefix":"10.1115","volume":"134","author":[{"given":"L. L.","family":"Ferr\u00e1s","sequence":"first","affiliation":[{"name":"Institute for Polymers and Composites\/I3N, University of Minho, Campus de Azur\u00e9m, 4800-058 Guimar\u00e3es, Portugal"}]},{"given":"A. M.","family":"Afonso","sequence":"additional","affiliation":[{"name":"Departamento de Engenharia Qu\u00edmica, Centro de Estudos de Fen\u00f3menos de Transporte, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s\/n, 4200-465 Porto, Portugal"}]},{"given":"M. A.","family":"Alves","sequence":"additional","affiliation":[{"name":"Departamento de Engenharia Qu\u00edmica, Centro de Estudos de Fen\u00f3menos de Transporte, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s\/n, 4200-465 Porto, Portugal"}]},{"given":"J. M.","family":"N\u00f3brega","sequence":"additional","affiliation":[{"name":"Institute for Polymers and Composites\/I3N, University of Minho, Campus de Azur\u00e9m, 4800-058 Guimar\u00e3es, Portugal"}]},{"given":"F. T.","family":"Pinho","sequence":"additional","affiliation":[{"name":"Centro de Estudos de Fen\u00f3menos de Transporte, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s\/n, 4200-465 Porto, Portugal"}]}],"member":"33","published-online":{"date-parts":[[2012,9,28]]},"reference":[{"key":"2019100416354162500_c1","doi-asserted-by":"publisher","first-page":"L9","DOI":"10.1063\/1.1432696","article-title":"Apparent Fluid Slip at Hydrophobic Microchannel Walls","volume":"14","author":"Tretheway","journal-title":"Phys. Fluids"},{"key":"2019100416354162500_c2","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1299\/jsmeb.41.525","article-title":"Slip of Newtonian Fluids at Slid Boundary","volume":"41","author":"Watanabe","journal-title":"JSME Int. J., Ser. 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