Transient Axi-Symmetric Disturbances in Two-Layer Fluid

The present manuscript deals with the generation of flexural gravity waves due to transient axi-symmetric disturbances in two-layer fluid. Roles of structural rigidity and compressive force on the transient flexural gravity wave motion are analyzed under the assumption of small amplitude water wave...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2019-10, Vol.5 (5), p.1-21, Article 125
Main Author: Mohanty, Sanjay Kumar
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Asymptotic methods
Case depth
Computational mathematics
Computational Science and Engineering
Disturbances
Gravitational waves
Gravity waves
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
Water depth
Water waves
Waves
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Summary:The present manuscript deals with the generation of flexural gravity waves due to transient axi-symmetric disturbances in two-layer fluid. Roles of structural rigidity and compressive force on the transient flexural gravity wave motion are analyzed under the assumption of small amplitude water wave theory and structural responses in the case of finite water depth. Using Laplace and Hankel transforms, integral forms of the velocity potentials, structural deflection, surface and interface elevations are derived for the flexural gravity wave motion. Asymptotic solutions for surface and interface elevations are derived in special cases using method of stationary phase for large time and space.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-019-0707-y