Published December 9, 2023 | Version v1
Journal article Open

Using the finite element method to study flows in channels

Creators

  • 1. Institute of Mechanics and Seismic Stability of Structures of the Academy of Sciences of the Republic of Uzbekistan

Description

This article delves into the practical implementation of the finite element method (FEM) for the comprehensive examination of fluid flows within channels. It begins by introducing FEM as a numerical solution to the intricate partial differential equations governing fluid dynamics. Emphasizing clarity in methodology, the discussion progresses to cover key aspects such as mesh generation and element interpolation, revealing how the domain is systematically divided into finite elements, and nodal values are strategically utilized for fluid behavior approximation. The assembly of system equations, incorporating boundary conditions, and the subsequent solution process are explored, with a focus on obtaining accurate results. The article also underscores the advantages of FEM, including its adaptability to complex geometries and its utility in diverse flow scenarios. Crucial considerations, such as validation and iterative refinement, are highlighted for ensuring the reliability of the simulations, offering readers a comprehensive guide to employing FEM for in-depth studies of fluid flows in channels.

Files

475-488.pdf

Files (701.2 kB)

Name Size Download all
md5:a78934243d2272a58c44ad70a3564724
701.2 kB Preview Download

Additional details

References

  • Zienkiewicz, O. C., & Taylor, R. L. (2000). The Finite Element Method: Its Basis and Fundamentals. Elsevier
  • Anderson, J. D. (2016). Computational Fluid Dynamics: The Basics with Applications. McGraw-Hill Education
  • Patankar, S. V. (1980). Numerical Heat Transfer and Fluid Flow. Taylor & Francis
  • Versteeg, H. K., & Malalasekera, W. (2007). An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Pearson Education.
  • Mardonova Lobar Umaraliyevna. (2023). Timurid princess The image of time and spirit in the image of Saraymulkhanim. American Journal of Language, Literacy and Learning in STEM Education (2993-2769), 1(6), 84–87. Retrieved from http://grnjournal.us/index.php/STEM/article/view/527
  • Umaraliyevna M. L., Abdukarimovna A. D. Ta'lim jarayonida oʻzoʻzini boshqarish va oʻz ustida ishlash, shaxsiy pedagogik tajriba toʻplash tizimi //Journal of Science-Innovative Research in Uzbekistan. – 2023. – Т. 1. – №. 2. – С. 154-162.
  • Umaraliyevna M. L. Temuriy malikalarning fojiaviy taqdirlari tasviri //Journal of Universal Science Research. – 2023. – Т. 1. – №. 5. – С. 1291-1298
  • Umaraliyevna M. L. BАDIIY АSАRDА YOZUVCHINING O 'Z QАHRАMONLАRIGА BO 'LGАN MUNOSАBАTI //PEDAGOGS jurnali. – 2022. – Т. 23. – №. 1. – С. 108-111
  • Мардонова, Л. У. (2022). MYҲАММАД АЛИНИНГ "УЛУҒ САЛТАНАТ" ТЕТРОЛОГИЯСИДА ЁЗУВЧИ ДУНЁҚАРАШИ ВА ҚАҲРАМОН ТАБИАТИ. INTERNATIONAL СONFERENCE ON LEARNING AND TEACHING, 1(8), 419–422. Retrieved from https://researchedu.org/index.php/iclt/article/view/2176
  • Наврузов, Дилшод Примкулович, and Сардор Кахарбоевич Абдухамидов. "ДВУХШАГОВАЯ НЕЯВНАЯ СХЕМА ПИСМЕНА- РИКФОРДА ДЛЯ РЕШЕНИЯ УРАВНЕНИЕ ЛАПЛАСА." INNOVATION IN THE MODERN EDUCATION SYSTEM 2 (2022): 803-808.
  • Усманов Р., Абдухамидов С. ПРИБЛИЖЕННОЕ РЕШЕНИЕ УРАВНЕНИЕ ГАРДНЕРА МЕТОДОМ СИНУС-КОСИНУС ФУНКЦИЙ //Фундаментальные и прикладные научные исследования: актуальные вопросы, достижения и инновации. – 2019. – С. 68-70
  • Усманов Р., Абдухамидов С. ПРИБЛИЖЕННОЕ РЕШЕНИЕ УРАВНЕНИЕ ГАРДНЕРА УПРОЩЕННЫМ МЕТОДОМ УКОРОЧЕННЫХ РАЗЛОЖЕНИЙ //Фундаментальные и прикладные научные исследования: актуальные вопросы, достижения и инновации. – 2019. – С. 64-67
  • Абдухамидов С. К., Омонов З. Ж. СОВЕРШЕНСТВОВАНИЕ СМАЗОЧНОЙ СИСТЕМЫ ДИЗЕЛЕЙ ПЕРЕВЕДЁННЫХ НА СЖАТЫЙ ПРИРОДНЫЙ ГАЗ //Экономика и социум. – 2021. – №. 3-1. – С. 387-390
  • Abduxamidov S. TWO-STEP IMPLICIT PISMAN-RICKFORD SCHEME FOR SOLVING THE LAPLACE EQUATION //Eurasian Journal of Mathematical Theory and Computer Sciences. – 2022. – Т. 2. – №. 7. – С. 29-30
  • Маликов З. М. и др. ЧИСЛЕННОЕ ИССЛЕДОВАНИЕ ТЕЧЕНИЯ В ПЛОСКОМ ВНЕЗАПНО РАСШИРЯЮЩЕМСЯ КАНАЛЕ НА ОСНОВЕ ДВУХЖИДКОСТНОЙ МОДЕЛИ ТУРБУЛЕНТНОСТИ И МОДЕЛИ УИЛКОКСА //Проблемы машиноведения. – 2021. – С. 204-211
  • Kaxarboyevich A. S., Turg'unboyevna C. L. SUYUQLIK OQIMINING BARQAROR ILGARILANMA HARAKATIGA OID TUSHUNCHALAR //Современные научные решения актуальных проблем. – 2022. – №. January.
  • Kaxarboyevich A. S., Lobar C. HISTORY OF MATHEMATICS //Ta'lim fidoyilari. – 2022. – Т. 18. – №. 5. – С. 142-149
  • Kaxarboyevich A. S. et al. EFFECTS OF LIQUID ON CYLINDER SHELL VIBRATIONS //Archive of Conferences. – 2021. – Т. 25. – №. 1. – С. 19- 25.
  • Абдухамидов С. К., Омонов З. Ж. СОВЕРШЕНСТВОВАНИЕ СМАЗОЧНОЙ СИСТЕМЫ ДИЗЕЛЕЙ ПЕРЕВЕДЁННЫХ НА СЖАТЫЙ ПРИРОДНЫЙ ГАЗ //Экономика и социум. – 2021. – №. 3-1. – С. 387-390
  • Bakhramovna E. D., Artikovna K. R., Kaxarboyevich A. S. TEACHING MATHEMATICS ONLINE //Archive of Conferences. – 2020. – Т. 9. – №. 1. – С. 67-68
  • Kaxarboyevich, A. S., & Turg'unboyevna, C. L. (2022). SUYUQLIK OQIMINING BARQAROR ILGARILANMA HARAKATIGA OID TUSHUNCHALAR. Современные научные решения актуальных проблем, (January)
  • Kaxarboyevich A. S., O'rozboyev M. T. Numerical Solutions of Hydrodynamic Equations //Web of Scholars: Multidimensional Research Journal. – 2023. – Т. 2. – №. 4. – С. 35-41.
  • Abduxamidov , S. (2023). SOLVING HYDRODYNAMIC EQUATIONS USING FINITE DIFFERENCE METHODS . International Conference on Science, Engineering & Technology, 1(1), 4–12. Retrieved from https://aidlix.com/index.php/au/article/view/11
  • Kaxarboyevich A. S., O'rozboyev M. T. Numerical Solutions of Hydrodynamic Equations //Web of Scholars: Multidimensional Research Journal. – 2023. – Т. 2. – №. 4. – С. 35-41
  • Abduxamidov , S. (2023). SOLVING HYDRODYNAMIC EQUATIONS USING FINITE DIFFERENCE METHODS . International Conference on Science, Engineering & Technology, 1(1), 4–12. Retrieved from https://aidlix.com/index.php/au/article/view/11
  • Abduxamidov S. SOLVING HYDRODYNAMIC EQUATIONS USING FINITE VOLUME METHODS //Евразийский журнал академических исследований. – 2023. – Т. 3. – №. 4 Special Issue. – С. 98-105
  • Abduxamidov S., Abduxamidova N. MENTAL ARITHMETIC: THE ART OF SKILL //Центральноазиатский журнал образования и инноваций. – 2023. – Т. 2. – №. 2. – С. 128-130

This site uses cookies. Find out more on how we use cookies