\(\int tan(x)dx\)
Heat is generated in a 8 cm diameter spherical radioactive material whose thermal conductivity is 25 W/m.°C uniformly at a rate of 15x10^6 W/m³.
A 2 kW resistance heater wire whose thermal conductivity is k = 15 W/m.K has a diameter of D = 4 mm and a length of L = 0.5 m, and is used to boil water. If the outer surface temperature of the resistance wire is T_s = 105°C, What is the temperature at the center of the wire?
The average heat produced by orange ripening is estimated to be 300W/m². Taking the average size of an orange to be 8 cm and assuming it to be a sphere with K = 0.15 W/m K, calculate the temperature at the center of the orange if its surface temperature is 10°C.
For the three-dimensonal object shown in the figure below, five faces are insulated. The sixth face (PQRS), which is not insulated, interacts thermally with the ambient, with a convective heat transfer coefficcient of 10 W/m²K.
Nichrome, having a resistivity of 100 µΩ cm is to be used as a heating element in a 10 kW heater. The Nichrome surface temperature should not exceed 1220°C.
