4. Freezing Boundary Fronts

Consider melting of a semi-infinite (0 ≤ x < ∞) slab of paraffin (octadecane),

initially at the

melting temperature Tinitial = Tmelt = 28.6°C exposed to a temperature Th = 60°C

at x = 0.

Find

(a) The front location after 1 hour

(b) The front location after 2 hours

(c) The time for the melting front to reach 5 cm

(d) The temperature at x = 1 cm after 2 hours.

(Use k = 0.23 W/mK, Cp = 2500 J/kgK,

AH = 250 kJ/kg,

p= 800 kg/m 3

)

III

E