Generation of surface waves due to initial axisymmetric surface disturbance in viscous fluid of finite depth

2021 ◽  
Author(s):  
Piyali Kundu ◽  
B. N. Mandal
Keyword(s):  
Viscous Fluid ◽  
Surface Waves ◽  
Finite Depth ◽  
Axisymmetric Surface ◽  
Surface Disturbance

Surface Waves of Viscous Fluid Down an Inclined Plane

1992 ◽  
pp. 105-114 ◽  
Author(s):  
Hirokazu Ninomiya ◽  
Takaaki Nishida ◽  
Yoshiaki Teramoto ◽  
Htay Aung Win
Keyword(s):  
Viscous Fluid ◽  
Surface Waves ◽  
Inclined Plane

The wave resistance of a viscous fluid of finite depth

1967 ◽  
Vol 7 (6) ◽  
pp. 275-278
Author(s):  
A.K. Nikitin ◽  
E.N. Potetyunko
Keyword(s):  
Viscous Fluid ◽  
Finite Depth ◽  
Wave Resistance

scholarly journals Ship waves on a viscous fluid of finite depth

1997 ◽  
Vol 9 (4) ◽  
pp. 940-944 ◽  
Author(s):  
Andy T. Chan ◽  
Allen T. Chwang
Keyword(s):  
Viscous Fluid ◽  
Finite Depth ◽  
Ship Waves

A porous-wavemaker theory

1983 ◽  
Vol 132 ◽  
pp. 395-406 ◽  
Author(s):  
Allen T. Chwang
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Small Amplitude ◽  
Vertical Plate ◽  
Hydrodynamic Pressure ◽  
Finite Depth ◽  
Wave Profile ◽  
Total Force ◽  
Wave Effect ◽  
Effect Parameter

A porous-wavemaker theory is developed to analyse small-amplitude surface waves on water of finite depth, produced by horizontal oscillations of a porous vertical plate. Analytical solutions in closed forms are obtained for the surface-wave profile, the hydrodynamic-pressure distribution and the total force on the wavemaker. The influence of the wave-effect parameter C and the porous-effect parameter G, both being dimensionless, on the surface waves and on the hydrodynamic pressures is discussed in detail.

Level repulsion of GHz phononic surface waves in quartz substrate with finite-depth holes

Ultrasonics ◽  
2016 ◽  
Vol 71 ◽  
pp. 106-110 ◽  
Author(s):  
Sih-Ling Yeh ◽  
Yu-Ching Lin ◽  
Yao-Chuan Tsai ◽  
Takahito Ono ◽  
Tsung-Tsong Wu
Keyword(s):  
Surface Waves ◽  
Quartz Substrate ◽  
Finite Depth

A depth-resolved framework for the coupling of sub-surface flows and surface gravity water waves

2020 ◽  
Author(s):  
Simen Ådnøy Ellingsen ◽  
Stefan Weichert ◽  
Yan Li
Keyword(s):  
Surface Waves ◽  
Water Waves ◽  
Multiple Scales ◽  
Subsurface Flow ◽  
Vertical Gradient ◽  
Finite Depth ◽  
Surface Gravity ◽  
Linear Wave ◽  
Flow Equations ◽  
Direct Integration Method

<p>This work aims to develop a new framework for the interaction of a subsurface flow and surface gravity water waves, based on a perturbation and multiple-scales expansion.  Surface waves are assumed of a narrow band δ (δ ), indicating they can be expressed as a carrier wave whose amplitude varies slowly in space and time relative to its phase. Using the Direct Integration Method proposed in Li & Ellingsen (2019), the effects of the vertical gradient of a subsurface flow are taken into account on the linear wave properties in an implicit fashion. At the second order in wave steepness ϵ, the forcing of the sub-harmonic bound waves is considered that plays a role in the primary equations for a subsurface flow.</p><p>The novel framework derives the continuity and momentum equations for a subsurface flow in two different formats, including both the depth integrated as well as the depth resolved version. The former compares with Smith (2006) to examine the roles of the rotationality of wave motions in the subsurface flow equations. The latter employs the sigma coordinate system proposed in Mellor (2003, 2008, 2015) and extends the framework therein to allow for quasi-monochromatic surface waves and the effects of the shear of a current on linear surface waves. Compared to Mellor (2003, 2008, 2015), the vertical flux/vertical radiation stress term in the proposed framework is approximated to one order of magnitude higher, i.e. O(ϵ<sup>2</sup>δ<sup>2</sup>).</p><p><strong>References</strong></p><p>Li, Y., Ellingsen, S. Å. A framework for modeling linear surface waves on shear currents in slowly varying waters. J. Geophys. Res. C: Oceans, (2019) <strong>124</strong>(4), 2527-2545.</p><p>Mellor, G. L. The three-dimensional current and surface wave equations. J. Phys. Oceanogr., (2003) <strong>33</strong>, 1978–1989.</p><p>Mellor, G. L. The depth-dependent current and wave interaction equations: a revision. J. Phys. Oceanogr., (2008) <strong>38</strong>(11), 2587-2596.</p><p>Smith, J. A. Wave–current interactions in finite depth. Journal of Physical Oceanography, (2006) <strong>36</strong>(7), 1403-1419.</p>

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