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A three-phase free boundary problem with melting ice and dissolving gas
2014
European journal of applied mathematics
We develop a mathematical model for a three-phase free boundary problem in one dimension that involves the interactions between gas, water and ice. The dynamics are driven by melting of the ice layer, while the pressurized gas also dissolves within the meltwater. The model incorporates a Stefan condition at the water-ice interface along with Henry's law for dissolution of gas at the gas-water interface. We employ a quasi-steady approximation for the phase temperatures and then derive a series
doi:10.1017/s0956792513000430
fatcat:adz6ykkxlvccjjqfbaiqfri4om