detailed steps

Circular cooling fins of diameter D=1mm and length L=25.4mm, made of copper (k=400 W/mK ), are used to enhance heat transfer from a surface that is maintained at temperature Ts1=132C. Each rod has one end attached to this surface (x=0), while the opposite end (x=L) is joined to a second surface, which is maintained at Ts2=0C. The air flowing between the surfaces and the rods is also at T=0C, and the convection coefficient is h=100W/m2K. (a) Express the function (x)=T(x)T along a fin, and calculate the temperature at x=L/2 (b) Determine the rate of heat transferred from the hot surface through each fin and the fin effectiveness. Is the use of fins justified? Why? (c) What is the total rate of heat transfer from a 10cm by 10cm section of the wall, which has 625 uniformly distributed fins? Assume the same convection coefficient for the fin and for the unfinned wall surface