Pressure change with time

Hi everyone,

I have a problem like this:
Two big container are linked with a thin tube, there is a valve at the middle of the tube.
At time t<0, The containers are filled with air but at different pressure. At time t=0, the valve is opened.
I want to know the time dependence of pressure distribution of the containers and tube.
A simple drawing is given in the attached picture.
Can anyone tell me which model should I choose and how to define the boundary of valve?

Thanks a lot

Wei