A plane wall of thickness 0.1 m and thermal conductivity 25 W/m-K having uniform volumetric heat generation of 0.3 MW/m³ is insulated on one side, while the other side is exposed to a fluid at 92°C. The convection heat transfer coefficient between the wall and the fluid is 500 W/m² K. Determine the maximum temperature in the wall. Answer: 212°C
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- 1.60 Two electric resistance heaters with a 20 cm length and a 2 cm diameter are inserted into a well-insulated 40-L tank of water that is initially at 300 K. If each heater dissipates 500 W, what is the time required for bringing the water temperature in the tank to 340 K? State your assumption for your analysis.3.16 A large, 2.54-cm.-thick copper plate is placed between two air streams. The heat transfer coefficient on one side is and on the other side is . If the temperature of both streams is suddenly changed from 38°C to 93°C, determine how long it takes for the copper plate to reach a temperature of 82°C.Heat is transferred at a rate of 0.1 kW through glass wool insulation (density=100kg/m3) with a 5-cm thickness and 2-m2 area. If the hot surface is at 70C, determine the temperature of the cooler surface.
- 1.19 A cryogenic fluid is stored in a 0.3-m-diameter spherical container is still air. If the convection heat transfer coefficient between the outer surface of the container and the air is 6.8 , the temperature of the air is 27°C, and the temperature of the surface of the sphere is –183°C, determine the rate of heat transfer by convection.A cooling system is to be designed for a food storage warehouse for keeping perishable foods cool prior to transportation to grocery stores. The warehouse has an effective surface area of 1860 m2 exposed to an ambient air temperature of 32C. The warehouse wall insulation (k=0.17W/(mK)) is 7.5 cm thick. Determine the rate at which heat must be removed (W) from the warehouse to maintain the food at 4C.determine the rate of heat transfer through the wall in Watts and the temperature at the inner and outer surfaces and at the interfaces. k = 0.20 W/m-°C for the 2.5 cm thick plaster wall on the inside k = 0.038 W/m-ºC for the 9.0 cm thick fiberglass insulation layer k = 0.12 W/m-°C for the 1.25 cm plywood layer on the outside. Assume: -the inside room air is 20 °C with convection coefficient of 10 W/m²- ºC, and - the outside air at -20 °C with convection coefficient of 20 W/m²-°C. Plaster Wall Insulation 12 2.5 cm 9 cm Plywood outside 34 k -1.25 cm
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- 8. Consider a 0.8-m-hight and 1.5-m-wide glass window with a thickness of 8 mm and a thermal conductivity of k = 0.78 W/m.°C. Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at 20.°C while the temperature of the outdoors is 10 °C. Take the heat transfer coefficients on the inner and outer surfaces of the window to be 10 W/m2 "C and 40 W/m² °C , respectively .You are trying to assess the performance of a heat sink with fins. It has straight rectangular profile fins. The fin length is 20 cm. The fins have a thermal conductivity of 280 W/m-K. The average coefficient of the air around the fins is 80 W/m²-K. The thickness of the fins is 1 cm and the width is 2 cm. The temperature of the air is 20°C. The temperature at the base of the fin is 70°C. Find the efficiency and effectiveness of a single fin. 0.51 and 30.9Rock has often been suggested as a medium for the thermal storage of energy.A cylindrical piece of rock with diameter 10 m and height 20 m is used for thestorage of thermal energy. The rock is insulated and has an average heattransfer coefficient, U = 0.28 kW/m2 K. The density of the rock material is2,650 kg/m3 and its specific heat capacity is 0.72 kJ/kgK. The temperature ofthe rock is raised to 500C and the ambient temperature is 25C. Determine:a) The total energy stored in the rock in MWh.b) The temperature of the rock 12 h after the heating process stops.c) The heat that has escaped from the rock during this 12 h period.d) The loss of exergy of the rock during this 12 h period.