Nonlinear aerodynamic flutter responses of the composite pipes conveying two-phase flow using mathematical simulation and data-driven solution

Two-phase flows are encountered in a wide range of engineering systems, including nuclear reactors, thermal power plants, chemical reactors, petroleum pipelines, refrigeration systems, and aerospace propulsion systems. The ability to model and analyze two-phase flows is essential for the design, operation, and optimization of these systems. So, in this work, for the first time, nonlinear aerodynamic responses of pipe conveying two-phase flow using data-driven solutions in the mathematical framework are presented. The presented pipe system is made of triply periodic minimum material with exceptional mechanical properties, such as high specific strength, specific stiffness, and energy absorption qualities. The distribution parameter varies as a function of the two-phase Reynolds number in a pipe while keeping the void percent constant and modifying the density ratios. Nonlinear Von-Karman theory, as well as trigonometric shear deformation theory, is presented to correctly simulate the nonlinear aerodynamic responses of the pipe reinforced by triply periodic minimum material conveying two-phase flow. After that, a numerical solution procedure is used to solve the nonlinear governing equations with the aid of nonlinear boundary equations. After obtaining the dataset using the mathematical modeling section, the data-driven solution is used to correctly test, train, and validate results for simulating the current applicable structure in other complex situations. The proposed data-driven solution provides valuable insights into the nonlinear aerodynamic responses of the reinforced pipes, facilitating the design and optimization of robust and efficient piping systems for various engineering applications.