Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 3 / 39D / b / i

Table of contents
- Solution i

Solution

In coordinates moving with the background fluid,

x^{'} = x - U t

. The stationary hill profile becomes

h = h_{0} sin (k x^{'} + k U t),

so in the convention

e^{i (k x^{'} - ω t)}

its frequency is

ω = - k U

; its physical angular frequency has magnitude

k U

.

 Ancestors (11)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version