Approximate explicit analytical expressions of friction factor for flow of Bingham fluids in smooth pipes using Adomian decomposition method |
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| Affiliation: | 1. Departament de Matemàtiques, Universitat Jaume I, Av. de Vicent Sos Baynat, s/n, Castelló de la Plana 12071, Spain;2. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, Tarragona 43007, Spain;3. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Barcelona 08007, Spain;1. Chem. Eng. Dept., Ben-Gurion University, Beer-Sheva, Israel;2. School of Engineering, Tel-Aviv University, Tel-Aviv, Israel;1. Department ‘Attilio Reale’, Sapienza University, Via Tommaso Inghirami 85, 00179 Rome, Italy;2. IRCCS San Raffaele Pisana, Rome, Italy;3. Department of Internal Medicine, University of Pisa, Pisa, Italy;4. Anthea Hospital, GVM Care & Research, ES Health Science Foundation, Bari, Italy;5. Eleonora Lorillard Spencer-Cenci Foundation, Rome, Italy |
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| Abstract: | This study concerns with the development of explicit expressions of friction factor for the flow of Bingham fluids in smooth pipes in both laminar and turbulent regimes by using a powerful analytical technique, i.e. Adomian decomposition method (ADM) and one of its variant namely restarted ADM (RADM). The results from these expressions match very well with those obtained by well-known correlations and are found to be valid for all practical ranges. It is hoped that the derived expressions will be useful for the researchers working in the area. |
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