Rochlitz, Róbert Zoltán and Bak, Bendegúz Dezső (2025) Pipe flow analogy in a planar mass-spring-damper system. In: Proceedings of the Conference on Modelling Fluid Flow CMFF’25. Budapest University of Technology and Economics, Department of Fluid Mechanics, Budapest, pp. 297-303. ISBN 9786151120026
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Abstract
We construct a chain oscillator whose block masses are connected by linear springs and linear dampers and each block is capable of 2D movement. This capability for moving in two directions gives rise to geometric nonlinearity in both the spring and the damping forces. We investigate the behaviour of the planar system for initial conditions resulting in both linear and nonlinear response. The oscillator chain will be subjected to simultaneous forcing of each of its block masses, whose results will be compared for different forcing magnitude and parametrisations of the system. The mean positions of the planar oscillator’s block masses are compared to the velocity fields arising in simple fluid flows in pipes. It is demonstrated that for certain parametrisations of the oscillator, the model can reproduce the velocity profiles of real pipe flows. In particular, the mean position of the masses follows a quadratic profile for forcing similar to the constant pressure gradient which facilitates Poiseuille flows.
| Item Type: | Book Section |
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| Additional Information: | The project supported by the Doctoral Excellence Fellowship Programme (DCEP) is funded by the National Research Development and Innovation Fund of the Ministry of Culture and Innovation and the Budapest University of Technology and Economics. The research reported in this paper is part of project no. TKP-6-6/PALY-2021. Project no. TKP-6-6/PALY-2021 has been implemented with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the TKP2021-NVA funding scheme. This work has been supported by the Hungarian National Research, Development and Innovation Fund under contract NKFI K 137726. One of the authors, Bendegúz D. Bak has also been supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 08 Sep 2025 11:24 |
| Last Modified: | 08 Sep 2025 11:24 |
| URI: | https://real.mtak.hu/id/eprint/223750 |
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