On the pumping effect in a pipe/tank flow configuration with friction

DOI10.1016/J.PHYSD.2014.01.010zbMath1383.76174OpenAlexW2162017684MaRDI QIDQ2630986

Georg Propst, José Ángel Cid, Milan Tvrdý

Publication date: 28 July 2016

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2014.01.010

zbMATH Keywords

periodic boundary value problemsingular differential equationvalveless pumping

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydrodynamic stability (76E99)

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Cites Work

• Periodic solutions to singular second-order differential equations: the repulsive case
• Periodic solutions of singular second order differential equations: upper and lower functions
• Remarks on the lower and upper solutions method for second- and third- order periodic boundary value problems
• Forced singular oscillators and the method of lower and upper solutions
• Numerical investigation of the Liebau phenomenon
• Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions.
• Two-point boundary value problems. Lower and upper solutions
• Pumping effects in models of periodically forced flow configurations
• An experimental investigation and a simple model of a valveless pump

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