This work presents a structural itegrity model for piping systems conveying liquids which takes the axial fluid-structure interaction into account. The model is used to numerically investigate the influence of pipe motion on the degradation of the piping when fast transients are generated by valve slam. The resulting mathematical problem is formed by a system of non-linear partial differential equations which is solved by means of an operator splitting technique, combined with a Glimm’s method. Numerical results obtained indicate that high piping flexibility may introduce a substantial increase in damage growth along the pipes.
This work presents a numerical model for predicting the isothermal transient two-phase flow of liquid-gas homogeneous mixtures in rigid pipelines. The resulting mathematical problem is governed by a system of non-linear hyperbolic partial differential equations which is solved by means of an operator splitting technique, combined with the Glimm’s method. To implement Glimm’s method, it is presented the closed-form analytical solution of the associated Riemann problem. Uniqueness of this solution is demonstrated for a general set of equations of state for the liquid and the gas. Preliminary numerical results are presented in order to illustrated the model performance.
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