| | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
Total articles in the database: | | 12804 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4760 |
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K.N. Anakhaev and V.V. Belikov, "Hydromechanical Modeling of the Deep Initial Impulsive Action on the Hydrogeophysical Massif," Mech. Solids. 58 (1), 38-44 (2023) |
Year |
2023 |
Volume |
58 |
Number |
1 |
Pages |
38-44 |
DOI |
10.3103/S0025654422700030 |
Title |
Hydromechanical Modeling of the Deep Initial Impulsive Action on the Hydrogeophysical Massif |
Author(s) |
K.N. Anakhaev (Institute of Applied Mathematics and Automation of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, Nalchik, 360000 Russia; Water Problems Institute of RAS, Moscow, 119333 Russia, anaha13@mail.ru)
V.V. Belikov (Water Problems Institute of RAS, Moscow, 119333 Russia, belvv@bk.ru) |
Abstract |
The article considers the potential problem of a deep impulsive impact at the initial moment of time on a hydrogeophysical massif, which can occur during underground (underwater) explosions, volcanic eruptions, seismic events, etc. The impact of the pulse focus was modeled by a rounded source with a unit pressure, and the sink area was modeled by a line of zero potential. A rigorous hydromechanical solution of the problem is obtained with the establishment of an analytical relationship between the physical region of the flow and the complex potential based on the theory of the function of a complex variable, that is, the use of the method of successive conformal mappings with the determination of all necessary flow characteristics. Calculation examples are given for special cases with the construction of curvilinear orthogonal hydrodynamic grids, outlines of families of lines of equal heads and stream lines, profiles of impulse sources, as well as diagrams of velocities, heads and potential flow rates. |
Keywords |
potential flow, impulsive action, conformal mappings, complex potential, complex domain, elliptic functions, streamlines, lines of equal pressures |
Received |
27 October 2021 | Revised |
10 December 2021 | Accepted |
20 December 2021 |
Link to Fulltext |
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