| Issue |
E3S Web Conf.
Volume 264, 2021
International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2021)
|
|
|---|---|---|
| Article Number | 01013 | |
| Number of page(s) | 9 | |
| Section | Ecology, Hydropower Engineering and Modeling of Physical Processes | |
| DOI | https://doi.org/10.1051/e3sconf/202126401013 | |
| Published online | 02 June 2021 | |
Generalization of the Riemann method for the trunk gas pipelines considering the quadratic law of resistance
1 Institute of Mechanics and Seismic Resistance M.T.Urazbaev Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
2 Andijan Machine-building Institute, Andijan, Uzbekistan
3 Tashkent Institute of Textile and Light Industry, Tashkent, Uzbekistan
* Corresponding author: s.axmadjonov1990@mail.ru
A mathematical model of the problem of pulse propagation in a semi-infinite gas pipeline was developed by expressing the pressure drop by the quadratic law of resistance and the local component of the gas inertia force by the law of conservation of momentum, using the law of conservation of mass in a one-dimensional statement. The model repeats the Riemann problem but takes into account the frictional resistance force. Using an auxiliary function in the form of the natural logarithm of the reduced density, and gauge functions, and certain simplifications, an equation for the reference solution of the problem in terms of gas velocity was derived and solved. For the analytical solution of the problem on gas velocity, the Riemann solution was used, and a refined analytical solution was obtained considering the quadratic law of resistance for the calculation of the perturbed and non-perturbed subdomains.
© The Authors, published by EDP Sciences, 2021
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