Fundamental Equations Part I

prerequisite conditions put velocity potential function as follow \[ \begin{equation} \phi=U x+\varphi-\frac{1}{2} U^2 tz \en...

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

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

This part mainly focus on ship wave with the infinite depth water, also mainly use Fourier transform method.

fluid mechanics