Open AccessMathematical modeling of pressure measurement systems in gas-liquid media
Author(s) -
Petr A. Velmisov,
Yuliya A. Tamarova
Publication year - 2020
Publication title -
žurnal srednevolžskogo matematičeskogo obŝestva
Language(s) - English
Resource type - Journals
eISSN - 2587-7496
pISSN - 2079-6900
DOI - 10.15507/2079-6900.22.202003.352-367
Subject(s) - boundary value problem , nonlinear system , basis (linear algebra) , pipeline (software) , galerkin method , finite element method , mechanics , computer science , mechanical engineering , mathematics , mathematical analysis , physics , engineering , thermodynamics , geometry , quantum mechanics
The article discusses the initial-boundary value problems for systems of differential equations, which are mathematical models of the mechanical system "pipeline - pressure sensor that is designed to measure pressure in gas-liquid media. On the basis of the proposed models, the joint dynamics of the pressure sensor sensitive element and of the working medium in the pipeline connecting the sensor to the combustion chamber of the engine is investigated. To describe the movement of the working medium, linear models of the mechanics of liquid and gas are used; to describe the dynamics of the sensitive element, both linear and nonlinear models of the mechanics of a solid deformable body are used. The solutions of stated initial-boundary value problems are carried out on the basis of the Galerkin method and the finite-difference method.