Dynamics of a mobile tank partially filled with liquid Equations of motion and their linearization
Abstract
Basic equations governing the dynamic behavior of liquid in a mobile rigid tank are linearized by systematically using a perturbation method in the manner developed by Stoker (1957). Sufficient conditions for linearization are formulated, and the boundary conditions on the free surface are carefully derived so as to insure that all terms of a given order are retained. Application of the derived theory is illustrated by the classical problem of forced small oscillations of a rectangular tank partially filled with liquid. The solution reveals some differences from results presented in the literature.
- Publication:
-
Solid Mechanics Archives
- Pub Date:
- 1983
- Bibcode:
- 1983SMArc...8..217K
- Keywords:
-
- Equations Of Motion;
- Fluid Dynamics;
- Linear Equations;
- Liquid Filled Shells;
- Tanks (Containers);
- Boundary Conditions;
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Perturbation Theory;
- Fluid Mechanics and Heat Transfer