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In this chapter, we address the fundamentals of the interactions between the phase change of a solid with a flow of water. We focus on two cases. First, we investigate the dissolution of a pure solid in contact with a liquid made up of a solvent and a solute. In this case, the dissolution rate is related to the transport of the solute concentration field by the flow. Secondly, we address the melting of a pure substance, meaning that the solid and liquid phases have the same chemical composition. The heat transfer sets the melting rate. After a reminder of the basic concepts of phase transitions, we determine the boundary conditions at the solid/liquid boundary and indicate the partial differential equations describing the solute or heat transport by the flow. Finally, we investigate with more details a one dimensional example, the dissolution of a plate by a thin film flow.

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Phase Changes and Fluid Flow: Basic Concepts and Natural Examples

  • 章节

  • 发表日期：

    2026年

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  • Michael Berhanu,
  • Martin Chaigne,
  • Adrien Guérin,
  • Julien Derr,
  • Sylvain Courrech du Pont

摘要

In this chapter, we address the fundamentals of the interactions between the phase change of a solid with a flow of water. We focus on two cases. First, we investigate the dissolution of a pure solid in contact with a liquid made up of a solvent and a solute. In this case, the dissolution rate is related to the transport of the solute concentration field by the flow. Secondly, we address the melting of a pure substance, meaning that the solid and liquid phases have the same chemical composition. The heat transfer sets the melting rate. After a reminder of the basic concepts of phase transitions, we determine the boundary conditions at the solid/liquid boundary and indicate the partial differential equations describing the solute or heat transport by the flow. Finally, we investigate with more details a one dimensional example, the dissolution of a plate by a thin film flow.