Mathematical Analysis of a Vibrating Rigid Water Tank

An-Najah University Journal for Research - Natural Sciences (A) ISSN: 1727-2114

Volume 6 , 1989, Pages: 07-16

An-Najah University Journal for Research - Natural Sciences (A) ISSN: 1727-2114 Volume 6 , 1989, Pages: 07-16 Mathematical Analysis of a Vibrating Rigid Water Tank Amin H. Helou Assistant Prof, Department of Civil Engineering, Faculty of Engineering, An-Najah National University. Received : 00-00-0000 , Accepted : 00-00-0000 Language: English Abstract The hydrodynamic pressure distribution on the wall of a vibrating water tank is traditionally expressed as a summation of two components; an impulsive component and a convective one obtained by separating the potential function into two parts. This requires solving Laplace's equation in two stages each with a separate set of boundary conditions. The following is one step systematic solution to the problem in a frame moving with the tank. It proves to be simple, compact and could lead to the impulsive, frequency independent and the convective, frequency dependent components of pressure at the water tank wall.

Amin H. Helou

Assistant Prof, Department of Civil Engineering, Faculty of Engineering, An-Najah National University.

Received : 00-00-0000 , Accepted : 00-00-0000

Language: English

Abstract

The hydrodynamic pressure distribution on the wall of a vibrating water tank is traditionally expressed as a summation of two components; an impulsive component and a convective one obtained by separating the potential function into two parts। This requires solving Laplace's equation in two stages each with a separate set of boundary conditions. The following is one step systematic solution to the problem in a frame moving with the tank. It proves to be simple, compact and could lead to the impulsive, frequency independent and the convective, frequency dependent components of pressure at the water tank wall. http://www.najah.edu/index.php?page=2149&l=en&extra=%26id%3D496