Journal ArticleDOI
Water waves generated by disturbance at an inertial surface
TLDR
In this paper, the Laplace transform technique is used to solve an initial value problem describing waves generated by a disturbance created at the surface of water covered by an inertial surface composed of a thin but uniform distribution of floating particles.Abstract:
Laplace transform technique is used to solve an initial value problem describing waves generated by a disturbance created at the surface of water covered by an inertial surface composed of a thin but uniform distribution of floating particles. Green's integral theorem produces the transformed potential function from which the form of the inertial surface is obtained as an infinite integral after taking Laplace inversion. The method of stationary phase is then employed to evaluate this integral approximately for large time and distance.read more
Citations
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Journal ArticleDOI
Waves in a Centrifuged Layer of a Rotating Viscous Fluid with an Inertial Surface
I. N. Soldatov,N. V. Klyueva +1 more
TL;DR: In this article, a model for describing wave motions of a flotatimg, viscous, non-compressible fluid partially filling the cavity of a rapidly rotating circular cylinder is proposed.
Journal ArticleDOI
Generation of Waves Due to a Disturbance on the Running Stream
TL;DR: In this paper, the problem of generating water waves due to a disturbance on the surface of ocean with uniform current was formulated under the assumption of linearised theory of water waves, as an initial cum boundary value problem with Laplace equation as the governing differential equation with two types of initial conditions prescribed on the free surface.
Journal ArticleDOI
Azimutal waves in a rotating viscous flotation fluid
I. N. Soldatov,N. V. Klyueva +1 more
TL;DR: In this paper, the exact solution of the linearized hydrodynamic problem with a nonclassical boundary condition on the free surface is derived and the dispersion equation is derived.
Journal ArticleDOI
Волны в центрифугированном слое вращающейся вязкой жидкости с инерционной поверхностью
Игорь Николаевич Солдатов,Igor' Nikolaevich Soldatov,Наталья Владимировна Клюева,Natal'ya Vladimirovna Klyueva +3 more
TL;DR: In this article, the authors propose a method for the evaluation of the performance of a system using a set of features from the system itself, including the following features: ǫ.
References
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Journal ArticleDOI
On the generation of water waves at an inertial surface
TL;DR: On developpe une methode de transformee de Laplace as mentioned in this paper for resoudre les problemes de valeur initiale, le potentiel de vitesse decrivant la generation d'ondes de gravite capillaires infinitesimales dans un liquide au repos avec une surface inertielle composee de particules flottantes distribuees uniformement.
Journal ArticleDOI
Waves in shallow water due to arbitrary surface disturbances
TL;DR: In this paper, the velocity potential and the surface elevation are calculated for the three-dimensional motion of surface waves excited by any local disturbance of the surface of a sea with constant depth.
Journal ArticleDOI
A note on the singularities in the theory of water waves with an inertial surface
B. N. Mandal,Krishna Kundu +1 more
TL;DR: In this paper, the derivation of velocity potentials describing the generation of infinitesimal gravity waves in a motionless liquid with an inertial surface composed of uniformly distributed floating particles, due to fundamental line and point sources with time-dependent strengths submerged in a liquid of finite constant depth, is discussed.
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A note on water waves created by surface disturbances
TL;DR: In this article, the technique of stationary phase is applied to solve an initial value problem describing water waves generated by surface disturbances under more general conditions, and asymptotic solutions are given for two special cases.