{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T23:41:28Z","timestamp":1760139688139,"version":"build-2065373602"},"reference-count":67,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,4,24]],"date-time":"2022-04-24T00:00:00Z","timestamp":1650758400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Education, Science, and Technological Development of the Republic of Serbia","award":["-"],"award-info":[{"award-number":["-"]}]},{"DOI":"10.13039\/501100002969","name":"Technology Agency of the Czech Republic","doi-asserted-by":"publisher","award":["CEET\u2014\"Center of Energy and Environmental Technologies\" TK03020027"],"award-info":[{"award-number":["CEET\u2014\"Center of Energy and Environmental Technologies\" TK03020027"]}],"id":[{"id":"10.13039\/501100002969","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Separate flow friction formulations for laminar and turbulent regimes of flow through pipes are in common use in engineering practice. However, variation of different parameters in a system of conduits during conveying of fluids can cause changes in flow pattern from laminar to fully turbulent and vice versa. Because of that, it is useful to unify formulations for laminar and turbulent hydraulic regimes in one single coherent equation. In addition to a physical interpretation of hydraulic friction, this communication gives a short overview of already available Darcy\u2019s flow friction formulations for both laminar and turbulent flow and additionally includes two simple completely new approximations based on symbolic regression.<\/jats:p>","DOI":"10.3390\/axioms11050198","type":"journal-article","created":{"date-parts":[[2022,4,24]],"date-time":"2022-04-24T02:22:02Z","timestamp":1650766922000},"page":"198","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Hydraulic Losses in Systems of Conduits with Flow from Laminar to Fully Turbulent: A New Symbolic Regression Formulation"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5680-0179","authenticated-orcid":false,"given":"Marko","family":"Milo\u0161evi\u0107","sequence":"first","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, 18000 Ni\u0161, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2502-0601","authenticated-orcid":false,"given":"Dejan","family":"Brki\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, 18000 Ni\u0161, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3913-7800","authenticated-orcid":false,"given":"Pavel","family":"Praks","sequence":"additional","affiliation":[{"name":"IT4Innovations, VSB\u2013Technical University of Ostrava, 708 00 Ostrava, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dragan","family":"Litri\u010din","sequence":"additional","affiliation":[{"name":"Siemens, Siemensova 1, 155 00 Prague, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zoran","family":"Staji\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Electronic Engineering, University of Ni\u0161, 18000 Ni\u0161, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Altowayti, W.A.H., Othman, N., Tajarudin, H.A., Al-Dhaqm, A., Asharuddin, S.M., Al-Gheethi, A., Alshalif, A.F., Salem, A.A., Din, M.F.M., and Fitriani, N. 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