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