Could somebody suggest the mathematical model (set of equations) to depict the solution profile of liquid under strong perturbation at the bottom of a tank? If some references or software for the same is available please let me know. Any information for the same will be a great help for me.

This problem has some approximate analytical solutions.You can do a normal mode analysis to obtain the solution.Have a look at any of the stability theory books.(Reid or Chandrasekhar)

Thank you Harish for the information. I think, probably I could not made the problem clear in my previous post. I am looking for the governing partial differential equations which model the fluid behavior under strong perturbation at the bottom of the tank. Also If possible, the analytical solution of it. Please suggest some references to me in this regard?

Ritesh..

The governing equations are the incompressible N-S equations assuming the fluid can be treated as incompressible.The analytical solution may not available directly depending on the kind of geometry and other parameters.But can be obtained using normal mode analysis given in books on hydrodynamic stability.Most of the papers in this field might be found before 1960.

Thanx for your suggestion.

regards Ritesh