A long copper cylinder 0.6 m in diameter and initially at a uniform temperature of 38°C is placed in a water bath at 93°C. Assuming that the heat transfer coefficient between the copper and the water is 1248 W/(m2 K), calculate the time required to heat the center of the cylinder to 66°C. As a first approximation, neglect the temperature gradient within the cylinder r/h, then repeat your calculation without this simplifying assumption and compare your results.
GIVEN
A long copper cylinder is placed in a water bath
Diameter of cylinder (D) = 0.6 m
Initial temperature (To) = 38°C
Water bath temperature (T?^?) = 93°C
The heat transfer coefficient (hc ) = 1248 W/(m2 K)
ASSUMPTIONS
Neglect end effects
Radial conductiononly
