{ "id": "1201.0100", "version": "v2", "published": "2011-12-30T10:32:45.000Z", "updated": "2012-09-23T01:52:17.000Z", "title": "A multi-layer model for turbulent kinetic energy in pipe flows", "authors": [ "Xi Chen", "Fazle Hussain", "Zhen-Su She" ], "comment": "This paper has been withdrawn by the author, while new results can be seen in the paper arXiv:1209.4154", "categories": [ "physics.flu-dyn" ], "abstract": "A multi-layer model of an energy length function is developed by employing recent results of the authors. The theory predicts the complete, mean streamwise turbulent kinetic-energy profile (MKP), in good agreement with empirical data for a wide range of Reynolds numbers (Re). In particular, a critical $Re_\\tau$ is predicted, beyond which a scaling anomaly appears and MKP develops a second peak.", "revisions": [ { "version": "v2", "updated": "2012-09-23T01:52:17.000Z" } ], "analyses": { "keywords": [ "turbulent kinetic energy", "multi-layer model", "pipe flows", "energy length function", "mean streamwise turbulent kinetic-energy profile" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.0100C" } } }