Abstract
The paper is devoted to the modeling of unsteady gas flows in long pipelines. A widely used flow model in the form of a system of partial differential equations obtained by the methods of continuum mechanics is considered. The simplifying assumptions under which it is derived are discussed. It is stated that there is no experimental confirmation of the admissibility of these simplifications. Wave processes observed during the operation of the object are examined. The velocity of pressure waves propagation and attenuation was estimated, some physical phenomena, the causes of which are not clear from the available information, were identified. Actual observations are reconciled with the results of model calculations, some discrepancies between them are detected.
Highlights
— systems of equations relating gas flow parameters, as functions of two variables: space x and time t
This paper examines quasi-isothermal model, where the unknown functions p(x,t), q(x,t), are the mean values of pressure and flow rate with respect to normal cross-section of pipeline
The graphs of pressure changes over several days recorded by the whole complex of metering points located on a twin gas pipelines are analyzed
Summary
To describe flows in long-distance pipelines, it is customary to use one-dimensional models. — systems of equations relating gas flow parameters (pressure p, flow q and temperature T), as functions of two variables: space x and time t. This paper examines quasi-isothermal model, where the unknown functions p(x,t), q(x,t), are the mean values of pressure and flow rate with respect to normal cross-section of pipeline. The temperature is calculated after pressure and flow have been found. The model includes a continuity equation (mass conservation equation) and a momentum equation
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