Consider a long solid bar (k=30W/m K and α 12X10-6 m /s) ofAare cro s section that is initially at uniform room tempera...
Consider a long solid bar (K=45 W/m*k and ∝=12x10-6 m2/s) of square cross section that is infinity at uniform temperature of 450°C. The cross section of the bar is 20cmx20cm in size. All four sides of the bar are subjected to convection of ambient air at T=20°C with a heat transfer coefficient of (h=40 W/m2*K) Using the explicit finite difference method with a mesh (Δx=Δy = 10 cm), determine the centerline temperature “C” of the bar after 5 minutes. Question...
A very long rod of 5-mm diameter and uniform thermal conductivity k = 25 W/m-K is subjected to a heat treatment process. The center, 30-mm-long portion of the rod within the induction heating coil experiences uniform volumetric heat generation of 7.5 x 106 W/m3. The unheated portions of the rod, which protrude from the heating coil on either side, experience convection with the ambient air at T∞ = 20 °C and h = 10 W/m2K. Assume that there is no convection...
5-111 Consider a refrigerator whose outer dimensions are 1.80 m x 0.8 m × 0.7 m. The walls of the refrigerator are constructed of 3-cm-thick urethane insulation (k = 0.026 W m K and α = 0.36 × 10-6 m2/s) sandwiched between two layers of sheet metal with negligible thickness. The refrigerated space is maintained at 3°C and the average heat transfer coefficients at the inner and outer surfaces of the wall are 6 W/m2 K and 9 W/m2.K, respectively....
4-79 White potatoes (k0.50 W/m-K and 0.13 X 10-6 m/s) that are initially at a uniform temperature of 25°C and have an average diameter of 6 cm are to be cooled by refrigerated air at 2°C flowing at a velocity of 4 m/s. The average heat transfer coefficient between the potatoes and the air is experimentally determined to be 19 W/m2.K Determine how long t wl take for the center temperature of the potatoes to drop to 6°C. Also, determine...