DESCRIBING THE ASYMPTOTIC BEHAVIOR OF A LOW-VISCOSITY FLUID IN AN ELLIPTICAL PLANE WITH A MOVING BOUNDARY Full article
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Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944 |
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| Output data | Year: 2020, Volume: 61, Number: 1, Pages: 25–36 Pages count : DOI: 10.1134/S0021894420010034 | ||
| Tags | slip condition, boundary layer, heat equation, vorticity, stream function. | ||
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Abstract:
A problem of plane–parallel steady motion of a low-viscosity incompressible fluid inside an elliptical cavity with a wall moving along its contour is under consideration. A slip condition with a constant or piecewise-constant slip function is set at the cavity boundary. This problem is solved using the method of merging asymptotic expansions. When the Reynolds number is of the order of Re = 1500 and there are no corner points in the flow region, the calculation time decreases by hundreds of times compared with the case where the finite difference method is applied. The flow
region is divided into an inviscid core in which vorticity is constant and a “weak” boundary layer. The equation of the “weak” boundary layer by changing variables is reduced to a heat equation whose solution is constructed in the form of a series.
Cite:
Pivovarov Y.V.
DESCRIBING THE ASYMPTOTIC BEHAVIOR OF A LOW-VISCOSITY FLUID IN AN ELLIPTICAL PLANE WITH A MOVING BOUNDARY
Journal of Applied Mechanics and Technical Physics. 2020. V.61. N1. P.25–36. DOI: 10.1134/S0021894420010034 WOS Scopus РИНЦ OpenAlex
DESCRIBING THE ASYMPTOTIC BEHAVIOR OF A LOW-VISCOSITY FLUID IN AN ELLIPTICAL PLANE WITH A MOVING BOUNDARY
Journal of Applied Mechanics and Technical Physics. 2020. V.61. N1. P.25–36. DOI: 10.1134/S0021894420010034 WOS Scopus РИНЦ OpenAlex
Original:
Пивоваров Ю.В.
Описание асимптотического поведения маловязкой жидкости в эллиптической полости с движущейся границей
Прикладная механика и техническая физика. 2020. Т.61. №1. С.30-42. DOI: 10.15372/PMTF20200103 РИНЦ OpenAlex
Описание асимптотического поведения маловязкой жидкости в эллиптической полости с движущейся границей
Прикладная механика и техническая физика. 2020. Т.61. №1. С.30-42. DOI: 10.15372/PMTF20200103 РИНЦ OpenAlex
Dates:
| Submitted: | Mar 7, 2019 |
| Accepted: | Aug 26, 2019 |
| Published print: | Feb 28, 2020 |
| Published online: | Feb 28, 2020 |
Identifiers:
| Web of science: | WOS:000556247100003 |
| Scopus: | 2-s2.0-85089018382 |
| Elibrary: | 45446269 |
| OpenAlex: | W3047091868 |