Recent content by scepter

Ok, I see. So to find the displacement at some distance away from the origin, which is what I`m interested in, I could use this asymptotic form of the Bessel function. Do I need to somehow convert it to polar coordinates? I take it that there is no available simple expression for the...

The Hankel functions solves the Laplace equation for the velocity potential in cylindrical coordinates, so it describes a propagating circular wave. How do I go about finding the expression for the surface displacement from the Hankel functions? Is there no simpler way? I imagine the...

Hi all. I´m looking for an expression for displacement of the waveform, eta(x,y,t) , of a circular wave that is created when a stone is dropped into a pond. Simplest case, assuming an ideal fluid and neglecting non-linear effects. Thanks, /scepter