Q2: An Aluminum pot is used to boil water as shown below. The handle of the pot is 20-cm long, 3-cm wide, and 0.5-cm thick. The pot is exposed to room air at 25°C, and the convection coefficient is 5 W/m °C. Can you touch the handle when the water is boiling? (k for aluminum is 237 W/m °C).We can model the pot handle as an extended surface. Assume that there is no heat transfer at the free end of the handle. If a stainless steel handle is used instead of aluminum, what will happen? For a stainless steel, the thermal conductivity k=15 W/m.°C. T 25 °C h=5 W/ m2 °C 100 °C

2. The wall of a furnace is made up of a material which has thermal conductivity of 1.65 W/m•C and a thicknesses 250 mm. The inner side of the furnace wall is exposed to hot gases at 1000 °C with a convection coefficient of 25 W/m2°C and the inside the surface is at 800 °C. The air outside the furnace is at 25°C with a convection coefficient of 12 W/m2°C. a. Draw a clear diagram representing the system b. Determine the temperature of the outside surface of the furnace C. The rate of heat loss from the furnace.

Problem 3 A novel material is suddenly exposed on one side to a fluid material. The material has an overall thermal gradient of °C W -7,000 with a thermal conductivity of 23.8. The fluid m m.K • has a temperature of 30° C and a heat transfer coefficient of 325 W m². K. material. . Calculate the temperature at the surface of the

Steel pipe (outer diameter 100 mm) is covered with two layers of insulation. The inner layer, 40 mm thick, has a thermal conductivity of 0.07 W / (m K). The outer layer, 20 mm thick, has a thermal conductivity of 0.15 W / (m K). Pipes are used to deliver steam with a pressure of 700 kPa. The temperature on the outer insulation surface is 24 ° C. If the pipe is 10 m long, determine the following: (assuming that the conduction heat transfer resistance of the steel pipe and the vapor convection resistance are negligible). a. Heat loss per hour. = AnswerkJ / hour. b. Temperature between insulation layers. = Answer° C.

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D -A₂ = Ac Obtain a relation for the fin efficiency for a fin of constant cross-sectional area Ac, perimeter p, length L, and thermal conductivity k exposed to convection to a medium at T with a heat transfer coefficient h. Assume the fins are sufficiently long so that the temperature of the fin at the tip is nearly T... Take the temperature of the fin at the base to be Tb and neglect heat transfer from the fin tips. Simplify the relation for (a) a circular fin of diameter D and (b) rectangular fins of thickness t. h, T

A large slab of aluminum has a thickness of 10 cm and is initially uniform in temperatureat 400◦C. It is then suddenly exposed to a convection environment at 90◦Cwith h=1400 W/m2 · ◦C. How long does it take the center to cool to 180◦C?

In a movie theater in winter, 500 people are watching a movie. The heat losses through the walls, windows, and the roof are estimated to be 150,000 Btu/h. Determine if the theater needs to be heated or cooled.