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NHHS|http://www.sjpub.org/authorfaq.html NHHS|http://www.sjpub.org/joineditors.html NHHS|http://www.sjpub.org/joinreviewers.html NHHS|http://www.sjpub.org/sitemap.html vti_cachedneedsrewrite:BR|false vti_cachedhasbots:BR|false vti_cachedhastheme:BR|false vti_cachedhasborder:BR|false vti_metatags:VR|HTTP-EQUIV=Content-Type text/html;\\ charset=iso-8859-1 citation_author Bo\\ Wan citation_author Friedrich\\ Karl\\ Benra citation_author Hans\\ Josef\\ Dohmen citation_title Unique\\ Numerical\\ Scheme\\ for\\ a\\ Modified\\ Equation\\ of\\ Fluid\\ Motion:\\ Approaching\r\r\nNew\\ Solver\\ Development\\ to\\ a\\ Fundamental\\ Flow\\ Problem citation_pdf_url http://www.sjpub.org/sjp/sjp-231.pdf citation_year 2013 citation_online_date 2013 citation_journal_title Science\\ Journal\\ of\\ Physics citation_abstract On\\ the\\ basis\\ of\\ a\\ scale-invariant\\ model\\ of\\ statistical\\ mechanics,\\ the\r\r\nscale-invariant\\ form\\ of\\ the\\ equation\\ of\\ motion\\ was\\ introduced\\ by\r\r\nSohrab\\ recently.\\ This\\ newly\\ modified\\ equation\\ of\\ fluid\\ motion\r\r\nowns\\ linear\\ properties\\ and\\ is\\ almost\\ identical\\ to\\ the\\ classical\r\r\nNavier-Stokes\\ equations\\ for\\ solving\\ flow\\ problems.\\ In\\ order\\ to\\ dig\r\r\npotential\\ advantages\\ of\\ this\\ modified\\ equation\\ in\\ engineering\r\r\napplications,\\ the\\ current\\ paper\\ goes\\ deeper\\ insights\\ into\\ the\r\r\nmodified\\ equation\\ of\\ fluid\\ motion\\ by\\ the\\ numerical\\ method.\\ In\r\r\nOpen\\ FOAM\\ environment,\\ a\\ numerical\\ solver\\ was\\ developed\\ to\r\r\nemploy\\ this\\ modified\\ equation\\ to\\ solve\\ engineering\\ flow\\ problems.\r\r\nAfter\\ the\\ finite\\ volume\\ method\\ discretisation\\ was\\ carried\\ out,\\ the\r\r\nresulted\\ algebraic\\ equations\\ derived\\ from\\ the\\ modified\\ equation\r\r\nwere\\ linear.\\ Hence\\ another\\ technique\\ was\\ assigned\\ to\\ the\r\r\ndeveloped\\ solver\\ to\\ improve\\ the\\ iteration\\ procedure.\\ As\\ an\r\r\napplication\\ example,\\ the\\ laminar\\ boundary\\ layer\\ flow\\ over\\ a\\ flat\r\r\nplate\\ was\\ resolved\\ by\\ the\\ developed\\ solver.\\ Comparing\\ the\r\r\nobtained\\ results\\ with\\ those\\ of\\ the\\ Navier-Stokes\\ solver\\ and\r\r\nmeasurement,\\ it\\ is\\ found\\ that\\ the\\ developed\\ solver\\ produced\r\r\nreasonable\\ predictions\\ for\\ this\\ fundamental\\ flow\\ problem,\\ and\r\r\nconsumed\\ much\\ less\\ computational\\ time\\ than\\ the\\ Navier-Stokes\r\r\ndue\\ to\\ the\\ linear\\ properties.\\ Such\\ results\\ conclude\\ that\\ the\r\r\ndeveloped\\ solver\\ is\\ more\\ efficient\\ than\\ the\\ current\\ ones\\ solving\r\r\nthe\\ Navier-Stokes\\ equations. dc.rights http://creativecommons.org/licenses/by/3.0/ citation_volume 2013 citation_publisher Science\\ Journal\\ Publication citation_issn 2276-6367 citation_abstract_html_url http://www.sjpub.org/sjp/abstract/sjp-231.html vti_charset:SR|iso-8859-1