Visualization of the Energy Flow in and Around a Fluid Loaded Elastic Sphere

Cleon Dean, James P. Braselton

Research output: Contribution to journalArticlepeer-review

Abstract

The energy flow in and around a fluid loaded elastic sphere can be visualized by the instantaneous elastodynamic Poynting vector field and its time averaged complex cognate. The instantaneous field can be used to animate and follow the energy flow around the sphere much as one can follow the ripples of wind through a wheat field. 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.

Disciplines

  • Education
  • Mathematics

Keywords

  • Elastic sphere
  • Energy flow
  • Fluid
  • Loaded

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