Tidal Dissipation in a Partially Molten Material

Physics

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Scientific paper

Io is the most volcanically active body in the solar system, because orbital interactions due to the Laplace resonance increase its eccentricity causing it to deform and dissipate tidal energy as the distance between Jupiter and Io varies throughout its orbit. This periodic tidal flexing may cause modest periodic motion of melt relative to a solid matrix which could cause dissipation in addition to dissipation in solid rock alone. We solve governing equations for two phase flow to calculate fluid pressure, fluid velocity relative to the solid matrix, and fluctuations in melt fraction. We use these solutions to calculate the dissipation caused by the relative flow of melt and matrix.

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