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On a new type of solving procedure for Laplace tidal equationстатья Исследовательская статья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 29 апреля 2021 г.
- Авторы: Ершков С.В., Шамин Р.В.
- Журнал: Physics of Fluids
- Том: 30
- Номер: 12
- Год издания: 2018
- Издательство: AIP Publishing
- Местоположение издательства: United States
- Первая страница: 1
- Последняя страница: 7
- DOI: 10.1063/1.5067252
- Аннотация: In this paper, we present a new approach for solving Laplace tidal equations (LTE) which was formulated first in [S.V.Ershkov, “A Riccati-type solution of Euler-Poisson equations of rigid body rotation over the fixed point”, Acta Mechanica, 228(7), 2719 (2017)] for solving Poisson equations: a new type of the solving procedure for Euler-Poisson equations (rigid body rotation over the fixed point) is implemented here for solving momentum equation of LTE, Laplace tidal equations. Meanwhile, the system of Laplace tidal equations (including continuity equation) has been successfully explored with respect to the existence of analytical way for presentation of the solution. As the main result, the new ansatz is suggested here for solving LTE: solving momentum equation is reduced to solving system of 3 nonlinear ordinary differential equations of 1-st order in regard to 3 components of the flow velocity (depending on time t), along with the continuity equation which determines the spatial part of solution. Nevertheless, the proper elegant partial solution has been obtained due to invariant dependence between temporary components of the solution. In addition to this, it is proved here that the system of Laplace tidal equations has not the analytical presentation of solution (in quadratures) in case of nonzero fluid pressure in the Ocean, as well as nonzero total gravitational potential and the centrifugal potential (due to planetary rotation).
- Добавил в систему: Ершков Сергей Владимирович