A large iron slab ( Iuml 7870 kg m 3 , c p 447 J kg middot K, and k 80 2 W m middot K) was initially heated to a uniform temperature of 150 deg C and then placed on concrete floor ( Iuml 1600 kg m 3 , c p 840 J kg middot K, and k 0 79 W m middot K) The concrete floor was initially at a uniform temp...

A heated large iron slab is placed on a concrete floor a the surface temperature and b the temperatu ...

A large iron slab (Ï = 7870 kg/m 3 , c p = 447 J/ kg·K, and

Question:

A large iron slab (Ï = 7870 kg/m³, c_p= 447 J/ kg·K, and k = 80.2 W/m·K) was initially heated to a uniform temperature of 150°C and then placed on concrete floor (Ï = 1600 kg/m³, c_p= 840 J/kg·K, and k = 0.79 W/m·K). The concrete floor was initially at a uniform temperature of 30°C. Determine

(a) The surface temperature between the iron slab and concrete floor

(b) The temperature of the concrete floor at the depth of 25 mm, if the surface temperature remains constant after 15 min.

Ts TAI = 150°C %3D Iron slab Concrete floor TBI = 30°C