- #1

markmai86

- 7

- 0

## Homework Statement

The acousitc wave from a sperical explosion is sometimes represented by a function:

p = 0 for t < r/c

p = B / r * exp [ - (t-r/c) / t0 ] for t > r/c (or equal)

a) Does this represent a possible soltion for the wave equation?

b) Find the corresponding velocity field, in particular show that there is a finite residual velocity B*t0/(rho*r^2) when t goes to the infinite.

c) Draw the corresponding wave diagram

d) Suggest a modification for the pressure wave, such that the residual velocity is zero.

## Homework Equations

Wave equation:

d^2 psi / dt^2 = c0^2 * nabla^2 * psi