Abstract
We pose a problem of numerical investigation of the dynamic behavior of a spiral tube with internal inhomogeneous flows of a boiling liquid and propose a model of motion of contracting clusters of heated liquid separated by cavities filled with steam. For the considered dynamical system with variable geometry of masses, we construct a system of differential equations with time-dependent discontinuous coefficients on the right-hand side. We describe a method for their numerical solution based on the use of methods of numerical integration with respect to time and the method of initial parameters together with a procedure of orthogonalization with respect to the spatial variable. We study vibrations in the system for various parameters of inhomogeneity of the flow, its velocity, and the parameter of dissipation of energy. It is shown that both stable and unstable modes of motion can be realized depending on the character of inhomogeneities and the velocity of motion of liquid clusters.
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Gulyaev, V.I., Tolbatov, E.Y. Numerical Simulation of the Dynamics of Elastic Tubular Spirals with Internal Inhomogeneous Flows of a Boiling Liquid. Strength of Materials 33, 362–369 (2001). https://doi.org/10.1023/A:1012412711910
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DOI: https://doi.org/10.1023/A:1012412711910