Mathematical modelling of pipelines transporting different fluids

摘要

The paper treats the modelling and simulation of pipelines that transport different fluids. The problem is solved by including the fluid density in the model beside the pressure and the velocity of the medium that are used in the models of single medium pipelines. The starting model consists of nonlinear partial differential equations. Then, the model is linearised and transformed into the transfer function matrix form. Four different forms of the model are derived in the paper. Since transfer functions are transcendent, they cannot be simulated using classical tools. Rational transfer function approximation of the model is used instead to validate the model on the real industrial pipeline.