Dynamics of spiral tubes containing internal moving masses of boiling liquid

The problem of computer simulation of the dynamics of elastic tube serpentines with internal flows of boiling liquids is set-up. The system of partial differential equations is derived which contains discontinuous coefficients on the right-hand side which depend upon time. The model of motion of clots of the non-homogeneous boiling liquid is proposed. It is associated with the condition of the fluid mass conservation. The technique of numerical solution of the constructed equations is elaborated based on the method of the transfer matrix. The system forced vibrations are traced for their frictionless and dissipative models and different values of the parameters of the fluid non-homogeneity. It is established that stable and unstable regimes of the serpentine motion can occur depending on the types of the flow discontinuities and their velocity.