New power-law scaling for friction factor of extreme Reynolds number pipe flows
We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric...
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Veröffentlicht in: | Physics of fluids (1994) 2020-09, Vol.32 (9) |
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creator | Anbarlooei, H. R. Cruz, D. O. A. Ramos, F. |
description | We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric mean δδν, where δν is the viscous length scale and δ is the pipe radius. Comparisons with the experimental data from the Princeton Superpipe and the Hi-Reff Facility at the National Metrology Institute of Japan show excellent agreement for a large range of Reynolds numbers. This work, along with the recent empirical evidence, suggests a possible change in the mechanism of turbulent momentum transfer for pipe flows in extreme Reynolds numbers. |
doi_str_mv | 10.1063/5.0020665 |
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R. ; Cruz, D. O. A. ; Ramos, F.</creator><creatorcontrib>Anbarlooei, H. R. ; Cruz, D. O. A. ; Ramos, F.</creatorcontrib><description>We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric mean δδν, where δν is the viscous length scale and δ is the pipe radius. Comparisons with the experimental data from the Princeton Superpipe and the Hi-Reff Facility at the National Metrology Institute of Japan show excellent agreement for a large range of Reynolds numbers. 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A.</creatorcontrib><creatorcontrib>Ramos, F.</creatorcontrib><title>New power-law scaling for friction factor of extreme Reynolds number pipe flows</title><title>Physics of fluids (1994)</title><description>We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric mean δδν, where δν is the viscous length scale and δ is the pipe radius. Comparisons with the experimental data from the Princeton Superpipe and the Hi-Reff Facility at the National Metrology Institute of Japan show excellent agreement for a large range of Reynolds numbers. This work, along with the recent empirical evidence, suggests a possible change in the mechanism of turbulent momentum transfer for pipe flows in extreme Reynolds numbers.</description><subject>Computational fluid dynamics</subject><subject>Extreme values</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Friction factor</subject><subject>Incompressible flow</subject><subject>Momentum transfer</subject><subject>Newtonian fluids</subject><subject>Phenomenology</subject><subject>Physics</subject><subject>Pipe flow</subject><subject>Power law</subject><subject>Reynolds number</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kFFLwzAUhYMoOKcP_oOATwqdSdrcNo8ynArDgehzSLMb6WibmnTU_Xs7umef7rnwcQ7nEHLL2YIzSB_lgjHBAOQZmXFWqCQHgPOjzlkCkPJLchXjjjGWKgEzsnnHgXZ-wJDUZqDRmrpqv6nzgbpQ2b7yLXXG9uPvHcXfPmCD9AMPra-3kbb7psRAu6pD6mo_xGty4Uwd8eZ05-Rr9fy5fE3Wm5e35dM6sUKJPlHSGZAIqhCpKLeKC4GFMFmmXOmwsAZRKcwLmRuXMlFaZ9FJKEvDc1AZT-fkbvLtgv_ZY-z1zu9DO0ZqkY02SoESI3U_UTb4GAM63YWqMeGgOdPHvbTUp71G9mFio616cyz-D_wHTw1qeA</recordid><startdate>20200901</startdate><enddate>20200901</enddate><creator>Anbarlooei, H. R.</creator><creator>Cruz, D. O. A.</creator><creator>Ramos, F.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-6094-7613</orcidid></search><sort><creationdate>20200901</creationdate><title>New power-law scaling for friction factor of extreme Reynolds number pipe flows</title><author>Anbarlooei, H. R. ; Cruz, D. O. A. ; Ramos, F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c292t-95fa65e698232bd9122e82a449fbfe8caee99e7857af302bcfcef56bba1769413</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Computational fluid dynamics</topic><topic>Extreme values</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Friction factor</topic><topic>Incompressible flow</topic><topic>Momentum transfer</topic><topic>Newtonian fluids</topic><topic>Phenomenology</topic><topic>Physics</topic><topic>Pipe flow</topic><topic>Power law</topic><topic>Reynolds number</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Anbarlooei, H. R.</creatorcontrib><creatorcontrib>Cruz, D. O. A.</creatorcontrib><creatorcontrib>Ramos, F.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Anbarlooei, H. R.</au><au>Cruz, D. O. A.</au><au>Ramos, F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New power-law scaling for friction factor of extreme Reynolds number pipe flows</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2020-09-01</date><risdate>2020</risdate><volume>32</volume><issue>9</issue><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>We report a novel power-law scaling for the friction factor of incompressible Newtonian fluid flows at extreme Reynolds numbers: f = Ce/Re2/13. The formula is based on a new phenomenology for coherent structures that dominate the momentum exchange in meso-layer regions and scales with the geometric mean δδν, where δν is the viscous length scale and δ is the pipe radius. Comparisons with the experimental data from the Princeton Superpipe and the Hi-Reff Facility at the National Metrology Institute of Japan show excellent agreement for a large range of Reynolds numbers. This work, along with the recent empirical evidence, suggests a possible change in the mechanism of turbulent momentum transfer for pipe flows in extreme Reynolds numbers.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0020665</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-6094-7613</orcidid></addata></record> |
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subjects | Computational fluid dynamics Extreme values Fluid dynamics Fluid flow Friction factor Incompressible flow Momentum transfer Newtonian fluids Phenomenology Physics Pipe flow Power law Reynolds number |
title | New power-law scaling for friction factor of extreme Reynolds number pipe flows |
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