Within a non-conservative formulation of the quasi-one-dimensional linearized mass and momentum conservation equations, transient processes are studied in an elementary undulating pipeline section caused by step-like changes in the boundary velocities of an incompressible fluid. To determine the average flow velocity, an incomplete telegrapher’s equation is derived and solved by separation of variables. The pressure distribution is then obtained by integrating the original system using the resulting velocity expression. Numerical experiments are carried out for constant values of the functions in the initial and boundary conditions. Flow regimes with constant, increasing, and decreasing mean pressure along the section are examined. The features of shock-wave propagation are demonstrated both with and without the friction force.
| Mualliflar | Khozhikulov, Sh.Sh., Begimov, O.M., Obidjonov, A.J., Хожикулов, Ш.Ш., Бегимов, О.М., Обиджонов, А.Ж. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2026-07-02 |
| Son | 3 |
| Betlar | 75-89 |
| Til | Ingliz |
| DOI | 10.71310/pcam.3_73.2026.06 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.3_73.2026.06 · Maqolaning asl sahifasi
fluid, pipeline, velocity, pressure, Fourier method, speed of sound, resistance force, computational experiment, жидкость, трубопровод, скорость, давление, метод Фурье, скорость звука, ила сопротивления, вычислительный эксперимент
| APA | Khozhikulov, Sh.Sh., Begimov, O.M., Obidjonov, A.J., Хожикулов, Ш.Ш., Бегимов, О.М., & Обиджонов, А.Ж. (2026). Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force. Ҳисоблаш ва амалий математика муаммолари, (3), 75-89. https://doi.org/10.71310/pcam.3_73.2026.06 |
|---|---|
| GOST (OAK) | Khozhikulov, Sh.Sh. va b. Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 3. – P. 75-89. – DOI: 10.71310/pcam.3_73.2026.06. |
| MLA | Khozhikulov, Sh.Sh., Begimov, O.M., Obidjonov, A.J., Хожикулов, Ш.Ш., Бегимов, О.М., and Обиджонов, А.Ж. “Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force.” Ҳисоблаш ва амалий математика муаммолари, (3), 75-89, 2026. https://doi.org/10.71310/pcam.3_73.2026.06 |
| Chicago | Khozhikulov, Sh.Sh., Begimov, O.M., Obidjonov, A.J., Хожикулов, Ш.Ш., Бегимов, О.М., and Обиджонов, А.Ж. “Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force.” Ҳисоблаш ва амалий математика муаммолари, (3), 75-89 (2026). https://doi.org/10.71310/pcam.3_73.2026.06 |
| Harvard | Khozhikulov, Sh.Sh., Begimov, O.M., Obidjonov, A.J., Хожикулов, Ш.Ш., Бегимов, О.М., and Обиджонов, А.Ж (2026) ‘Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force’, Ҳисоблаш ва амалий математика муаммолари, (3), 75-89. https://doi.org/10.71310/pcam.3_73.2026.06 |
| BibTeX | @article{khozhikulovshsh2026,
title = {Investigation into the Dynamics of Transient Processes Associated with Flow Rate Changes at the end of a Pipeline Section, Both with and Without Resistance Force},
author = {Khozhikulov, Sh.Sh. and Begimov, O.M. and Obidjonov, A.J. and Хожикулов, Ш.Ш. and Бегимов, О.М. and Обиджонов, А.Ж.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {3},
pages = {75-89},
doi = {10.71310/pcam.3_73.2026.06},
url = {https://doi.org/10.71310/pcam.3_73.2026.06}
} |
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