This paper presents an improved quasi-one-dimensional model of unsteady compressible fluid flow in main pipelines for studying water hammer damping. Its novelty lies in a rigorous nonlinear boundary condition based on the conservation of mass of the trapped gas in the air vessel (damper). The governing equations are integrated by the traveling-wave method with an implicit finite-difference scheme. Verification against a reference MATLAB Simulink model confirmed high accuracy (5–8% error). A multivariate analysis details how damper volume, initial gas pressure, and pipeline diameter affect the system’s inertia. Critical thresholds for destructive cavitation and “overdamping” are established, demonstrating the need for individual calibration of protective devices for reliable pipeline operation.
| Mualliflar | Bakhtiyorov, B.B., Khujaev, I.K., Turopova, N.V., Бахтиёров, Б.Б., Хужаев, И.К., Туропова, Н.В. |
|---|---|
| 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 | 25-36 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.3_73.2026.02 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.3_73.2026.02 · Maqolaning asl sahifasi
water hammer, gas-hydraulic damper, air vessel, mathematical modeling, traveling wave method, unsteady flow, cavitation, main pipeline, гидравлический удар, газогидравлический демпфер, воздушный колпак, математическое моделирование, метод бегущих волн, нестационарный поток, кавитация, магистральный трубопровод
| APA | Bakhtiyorov, B.B., Khujaev, I.K., Turopova, N.V., Бахтиёров, Б.Б., Хужаев, И.К., & Туропова, Н.В. (2026). Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel. Ҳисоблаш ва амалий математика муаммолари, (3), 25-36. https://doi.org/10.71310/pcam.3_73.2026.02 |
|---|---|
| GOST (OAK) | Bakhtiyorov, B.B. va b. Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 3. – P. 25-36. – DOI: 10.71310/pcam.3_73.2026.02. |
| MLA | Bakhtiyorov, B.B., Khujaev, I.K., Turopova, N.V., Бахтиёров, Б.Б., Хужаев, И.К., and Туропова, Н.В. “Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel.” Ҳисоблаш ва амалий математика муаммолари, (3), 25-36, 2026. https://doi.org/10.71310/pcam.3_73.2026.02 |
| Chicago | Bakhtiyorov, B.B., Khujaev, I.K., Turopova, N.V., Бахтиёров, Б.Б., Хужаев, И.К., and Туропова, Н.В. “Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel.” Ҳисоблаш ва амалий математика муаммолари, (3), 25-36 (2026). https://doi.org/10.71310/pcam.3_73.2026.02 |
| Harvard | Bakhtiyorov, B.B., Khujaev, I.K., Turopova, N.V., Бахтиёров, Б.Б., Хужаев, И.К., and Туропова, Н.В (2026) ‘Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel’, Ҳисоблаш ва амалий математика муаммолари, (3), 25-36. https://doi.org/10.71310/pcam.3_73.2026.02 |
| BibTeX | @article{bakhtiyorovbb2026,
title = {Mathematical Model and Analysis of Water Hammer Damping using an Air Vessel},
author = {Bakhtiyorov, B.B. and Khujaev, I.K. and Turopova, N.V. and Бахтиёров, Б.Б. and Хужаев, И.К. and Туропова, Н.В.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {3},
pages = {25-36},
doi = {10.71310/pcam.3_73.2026.02},
url = {https://doi.org/10.71310/pcam.3_73.2026.02}
} |
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