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Unsteady contact melting of a rectangular cross-section material on a flat plate
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Image of FIG. 1.
FIG. 1.

Schematic diagram for contact melting.

Image of FIG. 2.
FIG. 2.

Schematic of the three stages of melting when a block is placed on a surface above the melting temperature.

Image of FIG. 3.
FIG. 3.

Temperature profile at the end of stage 1, i.e., . Shown is the exact solution (solid line) compared with the cubic (dashed line), quadratic (dash-dotted line), and exponential (dotted line) heat balance integral method solutions, with marked by “” for each case.

Image of FIG. 4.
FIG. 4.

(a) predicted by current method ( dotted line, solid line) and quasisteady solutions, (dashed line) and (dash-dotted line) for , (b) melt height predictions; ( dotted line, solid line), (dashed line), and (dash-dotted line).

Image of FIG. 5.
FIG. 5.

(a) when and quasisteady solutions, (dashed line), (dash-dotted line) , (b) when , , and .

Image of FIG. 6.
FIG. 6.

Temperature in melt and solid at (dash-dotted line) and (solid line).

Image of FIG. 7.
FIG. 7.

Maximum horizontal velocity in the melt region for (a) and (b) .

Image of FIG. 8.
FIG. 8.

Variation of with ; (a) and (b) .

Image of FIG. 9.
FIG. 9.

Comparison of solutions for (a) and (b) . The solid lines represent the exact solution and the dashed lines are the linear approximation.

Image of FIG. 10.
FIG. 10.

Comparison of height with experiment (asterisks) for the current theory with (a) (solid line), (b) (dashed line), (c) Eq. (40) (dash-dotted line), and (d) quasisteady solution of Eq. (16) (dotted line).


Generic image for table
Table I.

Parameter values for ice/water and liquid/solid -octadecane.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Unsteady contact melting of a rectangular cross-section material on a flat plate