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An analytical solution for flow in a manifold
Institution:1. Department of Psychiatry and Behavioral Sciences, Stanford University, 401 Quarry Road, Stanford, CA 94305, USA;2. Department of Radiology, Stanford University, 1201 Welch Road, Stanford, CA 94305, USA;3. Autism Speaks, 29600 Fairmount Blvd, Pepper Pike, OH 44124, USA;4. Cleveland Clinic Children''s, 9500 Euclid Avenue, Cleveland, OH 44195, USA;1. Department of Mechatronic Engineering, National Taiwan Normal University, 162, Section 1, He-ping East Road, Taipei, 106 Taiwan, ROC;2. Department of Mechanical Engineering, Far East University, 49, Chung Hua Road, Hsin-Shih, Tainan, 744 Taiwan, ROC;1. Sorbonne Universités, Université Paris 6, Laboratoire d''Archéologie Moléculaire et Structurale, UMR 8220 CNRS – Université Pierre et Marie Curie, 4 place Jussieu, 75005 Paris, France;2. Université de Bordeaux, UMR 5199, PACEA, Allée Geoffroy Saint-Hilaire, CS 50023-33615 Pessac Cedex, France;3. Musée National de Préhistoire, 24620 Les Eyzies-de-Tayac, France;4. Instituto Internacional de Investigaciones Prehistóricas de Cantabria, Universidad de Cantabria, av. de los Castros 52, 39005 Santander, Spain;5. Rathgen-Forschungslabor, Staatliche Museen zu Berlin-Stiftung Preußischer Kulturbesitz, Schloßstraße 1a, 14059 Berlin, Germany
Abstract:An analytical solution is developed for flow in a manifold. The interest is primarily for trickle irrigation laterals, but the solution has broader applications including those for which pressure increases in the direction of flow and for intake manifolds. Both velocity head losses and variable discharge along the manifold are considered in the fundamental analysis. The appropriate second order, nonlinear equation is solved for two flow regimes, laminar and fully turbulent. Results indicate that for most trickle irrigation laterals the velocity head loss is negligible, but for an example from a chemical processing system the effect is important.
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