- #1
chiraganand
- 113
- 1
Ok so for equations of spherical wave in fluid the point source is modeled as a body force term which is given by time dependent 3 dimensional dirac delta function f=f(t)δ(x-y) x and y are vectors.
so we reach an equation with ∫f(t)δ(x-y)dV(x) over the volume V. In the textbook it then says that using sampling properties of dirac delta over a small spherical volume
∫f(t)δ(x-y)dV(x)=-f(t)
Can someone please explain to me what this means?? and how the final answer was got?
I know the properties of the dirac delta function but here it's time dependent and 3d so how do i get the corresponding answer?
The book is Fundamentals of Non destructive evaluation by lester schmerr
so we reach an equation with ∫f(t)δ(x-y)dV(x) over the volume V. In the textbook it then says that using sampling properties of dirac delta over a small spherical volume
∫f(t)δ(x-y)dV(x)=-f(t)
Can someone please explain to me what this means?? and how the final answer was got?
I know the properties of the dirac delta function but here it's time dependent and 3d so how do i get the corresponding answer?
The book is Fundamentals of Non destructive evaluation by lester schmerr