VISCOUS FLUID FLOW IN A LAYER WITH A FREE BOUNDARY Full article
| Journal |
Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944 |
||
|---|---|---|---|
| Output data | Year: 2022, Volume: 63, Number: 3, Pages: 383-391 Pages count : 9 DOI: 10.1134/s0021894422030026 | ||
| Tags | NAVIER-STOKES EQUATIONS, PROBLEMS WITH A FREE BOUNDARY, SELF-SIMILAR SOLUTION, SOLUTION BLOW UP | ||
| Authors |
|
||
| Affiliations |
|
Abstract:
A partially invariant solution of a three-dimensional problem with a free boundary for the Navier–Stokes equations is studied. The flow domain under consideration is a horizontal layer bounded by a solid plane from below and by a flat free surface from above. The vertical velocity and pressure are independent of the x and y coordinates. Three flow modes can be formed for different initial velocities of the flow: stabilization to the quiescent state with time, solution blow up within a finite time, and self-similar regime in which the layer thickness unboundedly increases with time.
Cite:
Zhuravleva E.N.
VISCOUS FLUID FLOW IN A LAYER WITH A FREE BOUNDARY
Journal of Applied Mechanics and Technical Physics. 2022. V.63. N3. P.383-391. DOI: 10.1134/s0021894422030026 WOS Scopus РИНЦ OpenAlex
VISCOUS FLUID FLOW IN A LAYER WITH A FREE BOUNDARY
Journal of Applied Mechanics and Technical Physics. 2022. V.63. N3. P.383-391. DOI: 10.1134/s0021894422030026 WOS Scopus РИНЦ OpenAlex
Original:
Журавлева Е.Н.
ТЕЧЕНИЕ ВЯЗКОЙ ЖИДКОСТИ В СЛОЕ С ПЛОСКОЙ СВОБОДНОЙ ГРАНИЦЕЙ
Прикладная механика и техническая физика. 2022. Т.63. №3. С.14-24. DOI: 10.15372/pmtf20220302 РИНЦ OpenAlex
ТЕЧЕНИЕ ВЯЗКОЙ ЖИДКОСТИ В СЛОЕ С ПЛОСКОЙ СВОБОДНОЙ ГРАНИЦЕЙ
Прикладная механика и техническая физика. 2022. Т.63. №3. С.14-24. DOI: 10.15372/pmtf20220302 РИНЦ OpenAlex
Dates:
| Submitted: | May 12, 2021 |
| Accepted: | May 31, 2021 |
| Published print: | Sep 7, 2022 |
Identifiers:
| Web of science: | WOS:000850834100002 |
| Scopus: | 2-s2.0-85137549390 |
| Elibrary: | 51546463 |
| OpenAlex: | W4297677172 |