A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector

Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Djurayeva, Nasiba, Нормуродов, Чори, Тиловов, Мухриддин, Муродов, Сардорбек, Раимов, Абдулла, Джураева, Насиба, Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Jurayeva, Nasiba

Mexanika muammolari jurnali · 2026-yil

Annotatsiya

This study investigates the longitudinal and transverse components of linear perturbations in the Blasius boundary layer within the framework of local hydrodynamic stability analysis. The base-flow profile is determined from the Falkner--Skan equation, after which the linearized equations of motion are reduced to the Orr--Sommerfeld spectral problem. For its numerical solution, a spectral-grid method is employed, based on dividing the computational domain into elements and representing the solution on each element by a finite series of Chebyshev polynomials. The resulting generalized eigenvalue problem is reduced to a lower-dimensional system, followed by reconstruction of the eigenvector of the original system and the corresponding eigenfunction. Based on a selected physically relevant mode, the components of the perturbed velocity field are determined. For the test case, the computed eigenvalue is compared with a published reference numerical result; the influence of the distribution of the number of polynomials among the elements of the computational domain is also investigated. The obtained results confirm the applicability of the proposed computational procedure to the analysis of linear perturbations in the Blasius boundary layer.

Maqola ma’lumotlari
MualliflarNormurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Djurayeva, Nasiba, Нормуродов, Чори, Тиловов, Мухриддин, Муродов, Сардорбек, Раимов, Абдулла, Джураева, Насиба, Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Jurayeva, Nasiba
JurnalMexanika muammolari jurnali
NashriyotМеханика ва иншоотлар сейсмик мустаҳкамлиги институти
ISSN2010-7250
Nashr sanasi2026-09-30
Jild37
Son3
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-10-18

Maqolaning asl sahifasi

Kalit so‘zlar

velocity dynamics, Navier--Stokes equations, spectral-grid method, boundary layer, eigenvalues and eigenvectors, stream function, динамика скорости, уравнения Навье–Стокса, спектрально-сеточный метод, пограничный слой, собственные значения и собственные векторы, функция тока, tezlik dinamikasi, Navye–Stoks tenglamalari, spektral-to‘r usuli, chegara qatlami, xos qiymatlar va xos vektorlar, oqim funksiyasi

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APANormurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Djurayeva, Nasiba, Нормуродов, Чори, Тиловов, Мухриддин, Муродов, Сардорбек, Раимов, Абдулла, Джураева, Насиба, Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, & Jurayeva, Nasiba (2026). A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector. Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/25
GOST (OAK)Normurodov, Chori va b. A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector // Mexanika muammolari jurnali. – 2026. – T. 37, № 3.
MLANormurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Djurayeva, Nasiba, Нормуродов, Чори, Тиловов, Мухриддин, Муродов, Сардорбек, Раимов, Абдулла, Джураева, Насиба, Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, and Jurayeva, Nasiba. “A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector.” Mexanika muammolari jurnali, 37(3), 2026. https://www.pmjournal.uz/index/article/view/25
ChicagoNormurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Djurayeva, Nasiba, Нормуродов, Чори, Тиловов, Мухриддин, Муродов, Сардорбек, Раимов, Абдулла, Джураева, Насиба, Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, and Jurayeva, Nasiba. “A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector.” Mexanika muammolari jurnali, 37(3) (2026). https://www.pmjournal.uz/index/article/view/25
HarvardNormurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, Djurayeva, Nasiba, Нормуродов, Чори, Тиловов, Мухриддин, Муродов, Сардорбек, Раимов, Абдулла, Джураева, Насиба, Normurodov, Chori, Tilovov, Muhriddin, Murodov, Sardorbek, Raimov, Abdulla, and Jurayeva, Nasiba (2026) ‘A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector’, Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/25
BibTeX
@article{normurodovchori2026,
  title = {A Spectral-Grid Method for the Stability Analysis of the Blasius Boundary Layer and the Dynamics of the Velocity Vector},
  author = {Normurodov, Chori and Tilovov, Muhriddin and Murodov, Sardorbek and Raimov, Abdulla and Djurayeva, Nasiba and Нормуродов, Чори and Тиловов, Мухриддин and Муродов, Сардорбек and Раимов, Абдулла and Джураева, Насиба and Normurodov, Chori and Tilovov, Muhriddin and Murodov, Sardorbek and Raimov, Abdulla and Jurayeva, Nasiba},
  journal = {Mexanika muammolari jurnali},
  year = {2026},
  volume = {37},
  number = {3},
  url = {https://www.pmjournal.uz/index/article/view/25}
}

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