The 12th International Conference on Hydrodynamics
18 – 23 september 2016, Egmond aan Zee, The Netherlands
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ENERGY DESCRIPTION OF MOVING DEFORMABLE BODIES THROUGH INVISCID FLUIDS


Go-down ichd2016 Tracking Number 35

Presentation:
Session: Theoretical Hydro & Environmental Hydro
Room: Room 2
Session start: 10:30 Thu 22 Sep 2016

Ren Sun   drrsun@sjtu.edu.cn
Affifliation: Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, China

Yi Qin   253367677@qq.com
Affifliation: Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, China


Topics: - Theoretical hydrodynamics

Abstract:

The energy-based Lagrangian expressions for multiple deformable bodies translating and rotating through an inviscid fluid are proved to be equivalent to the momentum-type ones using the harmonic function theory. This means the energy description can be used to deal with such hydrodynamic problems with many deformable bodies. In corresponding two-dimensional cases, the equivalence still holds if the kinetic energy expression of fluid is regarded as its nominal kinetic energy, which reveals that the expression is actually an important physical index including all information on hydrodynamic interactions. And those expressions for hydrodynamic loads in complex form derived from the energy description may be transformed into the unsteady Blasius formulae. Moreover, the pressure distribution over the surface of any submerged body is a function of coupled translational, angular and deforming accelerations of all bodies, and therefore masses of all bodies and their mass distributions influence hydrodynamic loads on the body.