A formulation for dissolution in inhomogeneous temperature field
Hiroki Fukagawa, Takeshi Tsuji
TL;DR
This paper develops a variational principle-based model for dissolution in inhomogeneous temperature fields, highlighting the critical role of interface energy in controlling the dissolution process.
Contribution
It introduces a novel set of equations that incorporate interface energy effects into dissolution modeling under temperature gradients.
Findings
Interface energy significantly restrains dissolution.
Moving interfaces involve heat of dissolution.
The model clarifies the impact of inhomogeneous temperature fields.
Abstract
We propose equations governing the dissolution in inhomogeneous temperature field in terms of the variational principle. The derived equations clarify that the interface energy between solute and solvent has a significant effect on the process of the dissolution. The interface energy restrains the dissolution, and the moving interface involves the heat of dissolution.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Fluid Dynamics and Thin Films · Solidification and crystal growth phenomena