A long waves propagation in two-layer fluid over a circular bowl pit

This study is conducted to study the long wave propagation in two layer fluid model over a circular bowl pit by using the analytical solution. The equation used in this study is the mild-slope equation and linear shallow water equation. The methods used to solve this problem are separation of variab...

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Bibliographic Details
Main Author: Harun, Fatimah Noor
Format: Conference Proceeding
Language:English
Subjects:
Circularity
Density ratio
Elevation
Shallow water equations
Surface waves
Wave diffraction
Wave propagation
Wave refraction
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Summary:This study is conducted to study the long wave propagation in two layer fluid model over a circular bowl pit by using the analytical solution. The equation used in this study is the mild-slope equation and linear shallow water equation. The methods used to solve this problem are separation of variable and Frobenius series. The mild-slope equation used in this research is a power fool tool to study wave refraction and diffraction over the circular bowl pit in a constant depth region. As part of verification process, this solution is reduced to one-layer fluid and find that our solution agree well with the existing solution. After solving this problem analytically, we find that the depth and the radius of bowl fit have significance effect to the surface wave elevation, η. Besides, the density ratio also give significance effect to the surface wave elevation.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4954545