AP08855521 — Study of the Transition of the Newtonian fluid flow to a viscoplastic state

The main objective of the project: Investigation of the mathematical model and the method for calculating the transition of the non-isothermal flow of the Newtonian fluid to a viscoplastic state

The relevance of the project: 1) development of the mathematical model of the non-isothermal flow of paraffinic oil under laminar and turbulent flow regimes; 2) development of the method for solving the system of equations of non-isothermal laminar and turbulent flow; 3) establishment of the laws governing the transition of the turbulent regime of the Newtonian fluid to a laminar viscoplastic flow.

Scientific adviser:  Doctor of Technical Sciences, Professor, Zhapbasbaev Uzak Kairbekovich

Results obtained: Within the research project, a SmartTranPro database and software package were developed for modeling the transportation of waxy crude oil, incorporating its physicochemical and rheological properties as well as pipeline parameters. A mathematical model of non-isothermal turbulent flow of a Bingham–Shvedov fluid in a pipe with heat exchange to the surrounding environment was developed and numerically simulated. It was established that cooling leads to a transition of oil from a Newtonian to a viscoplastic state, significantly affecting flow hydrodynamics. The distributions of velocity, temperature, viscosity, and shear stress were analyzed, revealing patterns of turbulent behavior and the formation of stagnant zones. Simulations using different turbulence models were performed and validated against DNS data, showing good agreement. The derived hydraulic resistance and heat transfer coefficients were successfully applied in real pipeline calculations, confirming their reliability. The obtained results can be used to optimize oil transportation regimes and improve the efficiency of pipeline systems.

List of publications with links to them

1. Жапбасбаев У.К., Босинов Д.Ж. Неизотермическое движение парафинистой нефти в трубопроводе // Вестник КазНУ. Сер. Математика, механика, информатика. – 2020. – Т. 108, № 4. – С. 47–57. – URL: https://bm.kaznu.kz. – ISSN 1563–0277, ISSN 2617–4871.
2. Zhapbasbayev U.K., Ramazanova G.I. et al. Flow and heat exchange calculation of waxy oil in the industrial pipeline // Case Studies in Thermal Engineering. – 2021. – Vol. 26. – Art. No. 101007. – DOI: https://doi.org/10.1016/j.csite.2021.101007.
3. Pakhomov M.A., Zhapbasbayev U.K. RANS modeling of turbulent flow and heat transfer of non-Newtonian viscoplastic fluid in a pipe // Case Studies in Thermal Engineering. – 2021. – Vol. 28. – Art. No. 101455. – DOI: https://doi.org/10.1016/j.csite.2021.101455.
4. Bekibayev T.T., Zhapbasbayev U.K. et al. Simulation of oil pipeline shutdown and restart modes // Complex Use of Mineral Resources. – 2021. – Vol. 1(316). – P. 15–23. – ISSN 2224–5243.
5. Zhapbasbayev U.K., Kudaibergen A.D. Modeling of heat transfer in a fuel pellet based on uranium dioxide and ceramics (beryllium oxide) // Complex Use of Mineral Resources. – 2021. – Vol. 3(318). – P. 81–89.
6. Бекибаев Т.Т., Жапбасбаев У.К. и др. Интеллектуальная система трубопроводной транспортировки нефти // Сборник докладов Второго Международного Джолдасбековского симпозиума «Механика будущего». – 2021. – С. (уточнить при необходимости).
7. Bossinov D.Zh., Zhapbasbayev U.K. Non-isothermal waxy oil flow in a pipeline // 16th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics (HEFAT-ATE). – Amsterdam, 2022. – P. 722–725.
8. Жапбасбаев У.К., Пахомов М.А., Босинов Д.Ж. Моделирование перехода ньютоновской жидкости в вязкопластичное состояние в трубе // Тезисы Традиционной математической конференции. – Алматы: Институт математики и математического моделирования, 2022. – С. 166–167.
9. Рамазанова Г.И., Бекибаев Т.Т., Жапбасбаев У.К., Босинов Д.Ж., Кудайберген А.Д. Программный продукт HeatNetWork: свидетельство № 25661 от 29.04.2022.
10. Жапбасбаев У.К., Босинов Д.Ж. Программа для ЭВМ ChannelFlow: свидетельство № 28550 от 01.09.2022.