- PII
- S3034508125050092-1
- DOI
- 10.7868/S3034508125050092
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 524 / Issue number 1
- Pages
- 59-62
- Abstract
- The stability of the unsteady flow of a Newtonian viscous medium, which is a superposition of two one-dimensional orthogonal shears in a layer between parallel planes, relative to the three-dimensional picture of kinematic perturbations, is investigated. Using the method of integral relations, sufficient integral estimates of the development of initial disturbances and their non-growth over an infinite time interval are derived. The cases of stationary main motion, acceleration and deceleration in different directions are considered.
- Keywords
- ньютоновская вязкая среда сдвиг нестационарное течение плоский слой возмущение устойчивость квадратичный функционал метод интегральных соотношений интегральные оценки
- Date of publication
- 01.10.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 13
References
- 1. Georgievskii D.V. Sufficient energy estimates of stability of unsteady combined shear flows in a cylindrical layer // Izv. RAN. MZhG. 2024. № 6. P. 51–59.
- 2. Kozyrev O.R., Stepanyan Yu.A. Method of integral relations in the linear theory of hydrodynamic stability // Itogi nauki i tekhniki. Ser. Mekhanika zhidkosti i gaza. M.: VINITI, 1991. V. 25. P. 3–89.
- 3. Georgievskii D.V. Selected problems of continuum mechanics. 2nd ed. M.: URSS, 2020. 560 p.
- 4. Georgievskii D.V., Putkaradze V.G. Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relations // Continuum Mechanics and Thermodynamics. 2023. V. 35. № 4. P. 1403–1415.
- 5. Martynyuk A.A., Lakimshkin V., Lila S. Stability of motion: method of integral inequalities. Kiev: Nauk. dumka, 1989. 272 p.
