Surface waves generated by a travelling pressure point

The case in which the water has infinite depth is considered, the effect of surface tension as well.

fluid mechanics

Introduction to water waves note

This is the notes for Chapter 5.4, mainly about ship waves.

fluid mechanics

linear and nonlinear waves note 2

how to obtain \(p=a \cos ^2 \theta\) Question: \(p=a \cos ^2 \theta,\) In this context, \(a\) is simply the constant of int...

fluid mechanics

one dimension ship wave with surface tension

Consider 1-D gravity-capillary waves, the surface displacement is described by: \[ \begin{equation} \frac{2 \pi \eta}{P}=\lim...

fluid mechanics

Hydronamics note 1

Pressure to the surface to a stream notation \(\varpi\): -> r ///////p439 (22) \(\sigma\): -> \(\omega\) \(c\): -> \...

fluid mechanics

linear and nonlinear waves note 1

wave patterns 📄P411, Sec 12.4 For a point source \(P\), the characteristics carrying disturbances pass through \(P\) and we...

fluid mechanics

The Kelvin Wave Patterns in in High-Froude-Number Capillary Flows - Note I

Solution Explanation show that, under the (zeroth-order) Hankel transform in the radial variable, \[ \mathcal{H}_0\left[\nabl...

fluid mechanics