Modeling mass balance of liquid in storage tank using laplace transform and euler method

Modeling and simulation are important tools often used for investigating the system's behavior in the industry and also in other fields of living. In this work, the steady state heights of the liquid in the storage tank was determined through plotting the heights of liquid as a function of time and the governing equations of flow of liquid in the tank was derived. The analytic solution and numerical solution obtained from the governing equations of liquid were compared. The steady state height of the liquid in the storage tank was 4.9585m analytically and numerically by using Euler method, the steady state height was 4.969m. At this height the acceleration of liquid is zero and flow rate is uniform. The conservation of volume and mass balance happened at this height.