3-D STANDING WAVES IN A RECTANGULAR BASIN DUE TO A LINEAR ELASTIC RESTORING FORCE

Document Type : Original Article

Author

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

Abstract

Three-dimensional standing gravity waves on the surface of an inviscid liquid in a moving rectangular basin are considered. The basin horizontal plane motion is due to a lin-ear elastic restoring force. The initial-boundary value problem ( I.Bv.P) has been formulated and solved. The surface-wave profile , velocity-potential and pressure distribution are determined. The three-dimensional results reduce to the two-dimensional ones when one of the wavelengths becomes infinite. Reduced results agree exactly with previous studies .