The steady-state temperature distribution in a one[1]dimensional wall of thermal conductivity 50 W /m · K and thickness 40 mm is observed to be T(°C) = a + bx² , where a = 200°C, b = -2000°C/m2,and x is in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate?

Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.

We have a wall (k = 10 W/mK) with a thickness of 0.4 m. At a certain instance of time temperature distribution is given by T(x) = 50 x²– 450 x + 350. a- Please calculate the rate of heat transfers entering and leaving the wall for a unit surface area and also find the change in the energy storage of the wall. b- If the environment temperature is 85 °C, what is the convection coefficient between the cold surface of the wall and environment.

Diagram of the problem, necessary formulas, clearance and numerical solution Two heat reservoirs with respective temperatures of 325 K and 275 K are brought into contact by an iron rod 200 cm long and 24 cm2 in cross section. Calculate the heat flux between the reservoirs when the system reaches its steady state. The thermal conductivity of iron at 25 ◦C is 79.5 W/m K.