Initial velocity of the emerging free boundary in a two-phase Stefan problem with imposed flux

Technical Report · Thu Nov 01 04:00:00 EST 1984

OSTI ID:6188659

Solomon, A D; Alexiades, V; Wilson, D G

Consider the one-dimensional, two-phase Stefan Problem with an imposed flux in which the phase change front originates at the material boundary. We prove that, subject to suitable assumptions on the initial temperature and imposed flux, the initial speed of the phase change front is equal to the jump between the surface and initial fluxes at the boundary. Similarly, we prove that the front X(t) is continuously differentiable in the closed interval (0,t*) for some t* > 0.

• Research Organization: Oak Ridge National Lab., TN (USA)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 6188659
• Report Number(s): ORNL-6073; ON: DE85003813
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
MELTING
MOVING-BOUNDARY CONDITIONS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
VELOCITY