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Research of mathematical models of pressure measurement system in gas-liquid environments
| Title | Research of mathematical models of pressure measurement system in gas-liquid environments |
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| Authors | Y. A. Tamarova1 1Nizhny Novgorod State Agrarian and Technological University named after L.Ya. Florentyev |
| Annotation | The mathematical models of the pressure measurement system in gas-liquid environments containing a pipeline and a pressure sensor are considered. Based on such models, the joint dynamics of the sensitive element of the pressure sensor and the working medium in the pipeline are investigated. The motion of the working medium is described by both a linear and a nonlinear model of fluid and gas mechanics. To study the models under consideration, a numerical-analytical solution method based on the Galerkin method is proposed. Using the developed programs in the Mathematica 12.0 system, a numerical experiment was conducted, allowing a comparative analysis of the linear and nonlinear models of the pressure measurement system. |
| Keywords | pressure measurement system, pressure sensor, pipeline, combustion chamber, dynamics, differential equations, Galerkin method. |
| Citation | Tamarova Y. A. ''Research of mathematical models of pressure measurement system in gas-liquid environments'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 242-247. Available at: https://conf.svmo.ru/files/2025/papers/paper49.pdf. - Date of access: 30.08.2025. |
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