GENERALIZATION OF THE RIEMANN METHOD FOR SOLVING THE PROBLEM OF WAVE PROPAGATION IN A SEMI-INFINITE GAS PIPELINE BY A QUADRATIC

A mathematical model of the problem of pulse propagation in a semi-infinite gas pipeline was compiled by expressing the pressure drop by a quadratic law of resistance and by the local component of the gas inertia force in the law of conservation of momentum and using the law of conservation of mass in a one-dimensional formulation. The model repeats the Riemann problem but takes into account the frictional resistance force

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