Solution of the Navier-Stokes Equation and the Problem of Hydro-Aero-Elastic for the Processes of Separation in the Curvilinear Channels
Keywords:
inertial gas-dynamic separation; the flow in the curvilinear channel; hydrodynamics; the Navier–Stokes equations; hydro-elasticity problem
Abstract
In this paper, the radial and circumference velocity components were found as a result of the analytical solution of the Navier-Stokes equations for gas flow in the semicircular annular channel, which takes into account the boundary conditions and some proposed limitations and hypotheses. The equation for gas leakage calculation and the expression describing pressure distribution were obtained.
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References
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Fefferman C. Existence and Smoothness of the Navier-Stokes Equation / C. Heffernan. – Cambridge : Clay Mathematics Institute, 2000. – P. 1–5.
Отелбаев М. Существование сильного решения уравнения Навье–Стокса / М. Отелбаев // Математический журнал. – 2013. – Т. 13. – № 4 (50). – С. 5–104.
Tao T. Finite Time Blowup for an Averaged Three-Dimensional Navier-Stokes Equation / T. Tao // New York : Cornell University Library, № 1402.0290. – 2015. – P. 1–72.
Sklabinskyi V. Gas Flow Formation in the Inertial Filtering Gas Separators with Curvilinear Channels / V. Sklabinskyi, O. Liaposchenko, A. Logvyn, M. Rommakhi // Journal of Engineering. – 2014. – Vol.10. – №5. – P.160–169.
Published
2015-10-26
How to Cite
Дем’яненко, М. Н., Ляпощенко, А. А., Павленко, И. В., & Склабинский, В. И. (2015). Solution of the Navier-Stokes Equation and the Problem of Hydro-Aero-Elastic for the Processes of Separation in the Curvilinear Channels. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 27, 53-64. Retrieved from https://periodicals.karazin.ua/mia/article/view/14197
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