We have a rather large cube of ice, which, of course, will melt locally when the

Question

We have a rather large cube of ice, which, of course, will melt locally when the local temperature reaches 0 degree C. Initially, all the ice is at -20 degree C. At the beginning of a heat-up transient, the cube becomes exposed to a 20 degree C ambient with a wind that makes a uniform and steady (let's assume) convective heat transfer coefficient of 5 W/m^2 K. Compute the time for: One corner of the cube to begin to melt. One edge of the cube to begin to melt (assuming that the comer melting does not affect the h value). The center of one face to begin to melt (assuming that the corner and edge melting does not affect the h value). Discuss your solutions. Where are the weaknesses? What might you do about them?

Explanation / Answer

The answer of the following question is as follows

a)172 seconds is required to melt the one corner of the cube

B) 79 sec is required to melt the one edge of the cube.

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