Question $1[5$ points$]$

Recall the ice melting problem in HW $2.$ In the same problem, let's attach $10($ten$)$ pin fins of $30$ mm length and $5$ mm diameter randomly placed on the top surface of the insulation. The fins are made from the same material as insulation.

Everything else remains the same as the HW problem.

A$.$ Do these fins behave like infinitely long fins?

B$.$ What is the efficiency of the finned surface?

C$.$ What is the effectiveness of the finned surface?

D$.$ What is the new heat transfer rate toward the top and the bottom?

E$.$ How much time does it take to melt the ice? Based on this analysis $-$ do you think it was a good idea or a bad idea to attach these fins?

Amhiont

$$m

mm

$I_{\text{i}\text{c}\text{e}}=125mm$

${}_{\text{i}\text{c}\text{e}}=920kg{m}^{-3}$

$H_{st}=333\mathrm{.}6k\frac{J}{k}g$