Title | Mathematical modeling of control systems for pressure changes in gas-liquid media |
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Authors | P. A. Velmisov^{1}, Y. A. Tamarova^{1}, N. D. Aleksanin^{1}^{1}Ulyanovsk State Technical University |

Annotation | An initial-boundary value problem for a system of differential equations with partial derivatives is considered, which is a mathematical model of the mechanical system "pipeline - pressure sensor in which the pipeline section has a rectangular shape. Based on the proposed model, the joint dynamics of the sensitive element of the pressure sensor and the working medium in the pipeline is investigated. To describe the dynamics, linear models of the mechanics of a solid deformable body and the mechanics of liquid and gas are used. With the help of the introduction of averaged characteristics, the study of the proposed initial-boundary value problem is reduced to the study of a one-dimensional model, for which analytical and numerical methods of solution are indicated. |

Keywords | differential equations, pipeline, pressure sensor, aeroelasticity, dynamics, Galerkin method, finite difference method. |

Citation | Velmisov P. A., Tamarova Y. A., Aleksanin N. D. ''Mathematical modeling of control systems for pressure changes in gas-liquid media'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 68-72. Available at: https://conf.svmo.ru/files/2022/papers/paper10.pdf. - Date of access: 04.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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