ON THE OSCILLATIONS OF A BOUNDED LIQUID WITH A. TIME DEPENDENT DISCONTINUOUS BOUNDARY

Document Type : Original Article

Author

Assoc. Prof., Dept. of Engrg. Mathematics, Faculty of Engrg., University of Alexandria El-Hadhrah, Alexandria, Egypt .

Abstract

The stability of the free surface of an inviscid liquid partially filling a rigid rectangular container with an outlet at its base is investigated. The container executes vertical vibrations in the direction of the gravitational field. The initial-bOundary value problem has been formulated and solved. The wave height and pressure have been determined. By specializ-ing the obtained results to special cases,it has been found that they agree favourably with prev-ious investigations.