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I. An aluminum plate 4 mm thick is mounted in a horizontal position, and its bottom surface is well insulated. A special, thin coating is applied to the top surfacesuch that it absorbed 90% of any incident solar radiation, while having an emissivity of 0.20. The density ? and specific heat C of aluminum are known to be 2,700kg/m3 and 900 J/kg.oK, respectively. Consider conditions for which the plate is at a temperature of 25oC and its top surface is...
III. An aluminum plate 4 mm thick is mounted in a horizontal position, and its bottom surface is well insulated. A special, thin coating is applied to the top surfacesuch that it absorbed 90% of any incident solar radiation, while having an emissivity of 0.20. The density and specific heat C of aluminum are known to be 2,700 kg/m3and 900 J/kg K, respectively. Consider conditions for which the plate is at a temperature of 25oC and its top surface is...
A wall panel is insulated on the back and exposed to solar radiation on the front surface. The exposed surface of the plate has an absorptivity α = 0.8 for radiation (i.e. 80% of radiant energy is absorbed). Solar radiation arrives to the panel at a rate of 1 kW⁄m2. The panel emissivity ϵ = 1 and the surrounding air temperature is 25°C. a. If we assume radiation is the only mechanism of heat transfer, in this scenario determine the...
1. Consider an opaque, horizontal square plate (Im by 1m) with an electrical heater on its backside. The front side is exposed to ambient quiescent air that is at 20° C, solar irradiation (from sun at 5800° K) of 600 W/m2, and an effective sky temperature of -40° C. The plate surface temperature is kept at Ts 60 C (at steady state condition). Calculate natural convection heat transfer coefficient from the plate. (10 points) What is the electrical power (W/m2)...
The roof of a minivan can be approximated as a flat plate, 2-m wide and 3.5- m long. The sun beats down on the roof such that the net solar radiation absorbed is 350 W/m2. If the ambient air is 32 ºC, the car is moving at 100 km/hr, and the inside surface of the roof is heavily insulated, determine the steady-state temperature of the roof (in ºC). Ignore heat loss via radiation emitted from the roof to the surrounding.
Cold conditioned air at 10°C is flowing inside a 1.5 cm thick square aluminum (k = 240 w/mK) duct of inner cross section of 25x25cm at a mass flow rate of 1.0 kg/s. The duct is exposed to air at 35°C with a combined convection-radiation heat transfer coefficient of 15 W/m2K. The convection heat transfer coefficient at the inner surface is 75 W/.m2.K. If the air temperature in the duct should not increase by more than 1°C determine the maximum...
finite element method 2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat from a surface whose temperature is 150°C. The temperature of ambient air is 20°C. The thermal conductivity of aluminium is 168 W/m.K. The natural convective coefficient associated with the surrounding air is 35 W/m2.K. The fins are 150 mm long and the heat loss from the tip of the fin may be neglected. (a) Determine the temperature distribution along...
please show me how I can finds the answers of these two examples Example 1: Design of a Solar Heater (Black bodies: no convection) A square flat plate collector is exposed to solar radiation from both the sides. The exposed surface of the plate has an absorptivity of 1.0 for solar radiation. On a clear summer day on the earth's surface the solar radiation flux is approximately 1140 W/m2 and the surrounding air temperature is 25oC. Determine the surface temperature?...
Steam at 235oC is flowing inside a steel pipe (k = 61 W/m.oC) whose inner and outer diameters are 10 cm and 12 cm, respectively, in an environment at 20oC. The heattransfer coefficients inside and outside the pipe are 105 W/m2.oC and 14 W/m2.oC, respectively. Determine (a) the thickness of the insulation (k = 0.038 W/m.oC) neededto reduce the heat loss by 95 percent and (b) the thickness of the insulation needed to reduce the exposed surface temperature of insulated...
1) A thin plate heater is attached to the higher surface of 8 mm thickness aluminum horizontal plate which has thermal conductivity of 235 W/m.K., this surface and theother lower surface of aluminum plate are exposed to air stream of temperature 25 C and convection coefficient 100 W/m2.K. for both surfaces.If the heater dissipates 10 kW/m² under normal conditions, what is the temperature of the lower plate surface?