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UNSTEADY PROBLEM OF FLUID FLOW IN A CHANNEL OF VARIABLE CROSS-SECTION

Yuldash Babadzhanov Yuldash B. Iroda Babadzhanova Iroda B.

Abstract

This article mathematically models the stationary and unsteady behavior of fluid flow in channels with variable cross-sections. The study considers the problem of determining unsteady flow parameters based on the method of small disturbances, Gurevich – Haskind and Kuznetsov approaches. Analytical formulas are presented for determining the complex potential, velocity and pressure fields of the flow, and kinematic and dynamic conditions for the free boundary are derived. The properties of pulsating flows in a narrowing channel are analyzed, and the dependence of the pressure amplitude and phase on the Struchal number is studied. As a result of the study, an analytical method for calculating the parameters of the turbulent flow that occurs in the compression zone of the channel is developed, and a method for determining the channel shape that ensures turbulent flow is proposed.

Keywords

channel with variable cross-section unsteady flow steady flow small perturbation method Gurevich – Haskind method complex potential fluid dynamics free boundary turbulent flow pressure amplitude Struchal number Keldysh – Sedov formula mathematical model channel geometry analytical solution.
Authors
Yuldash Babadzhanov
Karshi State University, Karshi
ORCID: 0009-0001-1674-7163
Iroda Babadzhanova
Institute of Military Aviation of the University of Military Security and Defense of the Republic of Uzbekistan, Karshi
ORCID: 0000-0003-0466-5352

How To Cite

Journal Style
Yuldash, B.; Iroda, B. UNSTEADY PROBLEM OF FLUID FLOW IN A CHANNEL OF VARIABLE CROSS-SECTION. Innovatsion texnologiyalar, 2026, 62(2), 49-57. https://doi.org/10.70769/2181-4732.ITJ.2026-2.06
TXT (current style) BibTeX RIS

References

  1. Das, A., Critical Channel Dimensions For Open-Channel Transition Design, Journal Of Irrigation And Drainage Engineering, 137(11) (2011) 735-742.
  2. Drikakis, D. (1997). Bifurcation Phenomena In Incompressible Sudden Expansion Flows. Physics Of Fluids, 9(1), 76-87.
  3. Glovatskiy O., Ergashev R., Kholbutaev B., Nasirova N., Rashidov J. Design Aspects Of Operation Of Water Supply Facilities Of Pumping Stations. E3s Web Of Conferences 274, 03008 (2021) Stcce – 2021 https://doi.org/10.1051/ E3sconf / 202127403008
  4. Guo X. M. Et Al. Numerical And Experimental Investigations On The Cavitation Characteristics Of A High-Speed Centrifugal Pump With A Splitter-Blade Inducer //Journal Of Mechanical Science And Technology. – 2015 – Т. 29. – No.1. – С. 259 - 267.
  5. Das, A., Critical Channel Dimensions For Open-Channel Transition Design, Journal Of Irrigation And Drainage Engineering, 137(11) (2011) 735-742.
  6. Drikakis, D. (1997). Bifurcation Phenomena In Incompressible Sudden Expansion Flows. Physics Of Fluids, 9(1), 76-87.
  7. Escudier, M. P., Oliveira, P. J., & Poole, R. J. (2002). Turbulent Flow Through A Plane Sudden Expansion Of Modest Aspect Ratio. Physics Of Fluids, 14(10), 3641-3654.
  8. Feng Jiangang, Li Xin. Research On The Measures Of Improve The Flow Pattern Of The Forebay Of City Intake Water Pumping Stations [J]. Applied Mechanics And Materials, 2012,170-173:
  9. Gan, L., Baqui, Y. B., & Maffioli, A. (2016). An Experimental Investigation Of Forced Steady Rotating Turbulence. European Journal Of Mechanics - B/Fluids, 58, 59 - 69.
  10. Gandhi, S. (2024). Empirical Modeling Of Flow Characteristics In Suddenly Expanding Channels. Journal Of Applied Fluid Mechanics, 17(4), 857-869.
  11. Зарипов, М. Б., & Му қ имов, Ш. И. (2024). Безвихревое движение жидкости в су жающемся канале. Science And Innovation, 3(Special Issue 52), 436 - 440.
  12. И брагимов А. Х. Су в омбори аванкамерасида тезлик майдонини Допплер аппарати ор қ али ўлчаш ва экспериментал о қ им картасини тузиш // Гидравлика ва гидротехника илмий тад қ и қ отлари. – Тошкен т, 2021. – No3. – С. 45 – 52.