How much water is transported (volume) as a wave travels into a sea cave?
The wave has a height of 1m and a period of 12 seconds. The average water depth at the cave mouth it 5M and the width is 15m.
How do I calculate this? This is a real world problem and if there is any other information needed for this problem I will happily collect it.
This isn't a home work problem. This is a real cave and I assumed water is transported because it does "pile up" in the back of the cave until the wave is reflected and exits the cave in the opposite direction. Just as on beaches where waves push water up on to the beach and gravity pulls the water back to ocean creating the near shore current. I understand that deep water waves have an almost circular orbit but due to stoke's drift a particle will be slightly displaced in the direction the swell is moving. In this cave we can assume the wave is well with in the sallow water wave criteria and almost at the critical depth in which the wave deformation is to extreme and wave energy is about to be converted in to turbulent kinetic energy as the wave breaks. The orbit therefore would linear, as the wave moves in and out. The net change would be zero 0m^3, but how much water flows in and then flows back out of the cave?