Visualization of the energy flow in and around a fluid-loaded elastic cylindrical shell
Cleon E. Dean, James P. Braselton
Abstract
Cleon E. Dean, James P. Braselton
Abstract
The energy flow in and around a fluid-loaded elastic cylindrical shell can be visualized by the instantaneous elastodynamic Poynting vector field and the time-averaged complex elastodynamic Poynting vector field. The instantaneous field can be used to animate and follow the energy flow around the cylindrical shell. The real and imaginary parts of the complex elastodynamic Poynting vector field can be used to show the traveling and standing wave components of the energy field, respectively. Special attention is given to the fluid/elastic boundary and energy coupling between the solid and fluid media. Numerous vector field plots and several animations will be shown.
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The energy flow in and around a fluid-loaded elastic cylindrical shell can be visualized by the instantaneous elastodynamic Poynting vector field and the time-averaged complex elastodynamic Poynting vector field. The instantaneous field can be used to animate and follow the energy flow around the cylindrical shell. The real and imaginary parts of the complex elastodynamic Poynting vector field can be used to show the traveling and standing wave components of the energy field, respectively. Special attention is given to the fluid/elastic boundary and energy coupling between the solid and fluid media. Numerous vector field plots and several animations will be shown.
Key concepts: Poynting vector, Energy flow, Vector field, Shell (structure), Field (mathematics), Flow (mathematics), Physics, Mechanics