Theoretical model of the Leidenfrost temperature

Area of Science:

• Physics
• Thermodynamics
• Fluid Dynamics

Background:

• The Leidenfrost effect describes liquid levitation on hot surfaces, preventing rapid evaporation via a vapor layer.
• The Leidenfrost temperature, above which this occurs, is higher than the liquid's boiling point and not fully understood.
• Existing models do not fully explain the physical mechanisms behind the Leidenfrost temperature.

Purpose of the Study:

• To theoretically determine and validate the Leidenfrost temperature for water.
• To investigate the underlying physical principles governing the Leidenfrost effect.
• To provide a predictive model for the Leidenfrost temperature.

Main Methods:

• Mathematical modeling of nonequilibrium liquid-vapor interface evaporation.
• Analysis of bifurcation in the solutions of governing equations.
• Comparison of theoretical predictions with experimental data from literature.

Main Results:

• The Leidenfrost temperature for water was theoretically proven to correspond to a bifurcation point.
• The derived theoretical values for the Leidenfrost temperature align with experimental findings.
• A distinct liquid-vapor interface temperature, below the boiling point, was identified and validated.

Conclusions:

• The study establishes a theoretical basis for the Leidenfrost temperature in water.
• The findings provide a deeper understanding of the physics governing the Leidenfrost effect.
• The developed model accurately predicts Leidenfrost temperature, aligning with experimental observations.