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...
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...
Hydronamics note 1
Pressure to the surface to a stream notation \(\varpi\): -> r ///////p439 (22) \(\sigma\): -> \(\omega\) \(c\): -> \...
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...
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...