A 4-mm-diameter sphere at 50°C is covered by a 1-mm-thick plastic insulation (k=0.13 W/m°C). The sphere is exposed to a medium at 15 °C, with a combined convective and radiative heat transfer coefficient of 20 W/m2 °C. Determine whether the plastic insulation over the sphere will help or harm heat transfer from the sphere.
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A 4-mm-diameter sphere at 50°C is covered by a 1-mm-thick plastic insulation (k=0.13 W/m°C). The sphere is exposed to a medium at 15 °C, with a combined convective and radiative heat transfer coefficient of 20 W/m2 °C. Determine whether the plastic insulation over the sphere will help or harm heat transfer from the sphere.
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- A 5-m-internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k = 15 W/m-°C) is used to store iced water at 0°C. The tank is located in a room whose temperature is 30°C. The walls of the room are also at 30°C. The outer surface of the tank is gray (emissivity = 0.9), and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m²-°C and 10 W/m²-°C, respectively. Determine the amount of ice at 0°C that melts during a 24-h period. The heat of fusion of water at atmospheric pressure is hfg = 333.7 kJ/kg.\ ANSWER:_____kgA one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m2-K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface temperature is T; = 29°C. Assume the exposed wall surface is gray, and the surroundings are large. g'onv i W/m? %3D i W/m2The emissivity of galvanized steel sheet, a common roofing material, is ε = 0.13 at temperatures around 300 K, while its absorptivity for solar irradiation is αS = 0.65. Would the neighborhood cat be comfortable walking on a roof constructed of the material on a day when GS = 750 W/m2, T∞ = 16°C, and h = 7 W/m2 · K? Assume the bottom surface of the steel is insulated.
- A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T. exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m²-K, and the absorptivity of the temperature is T, = 30°C. Assume the exposed wall surface is gray, and the surroundings are large. gbonv i W/m? Tad i W/m2A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T. = 20°C and Tgur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m2-K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at.x = 0, both in W/m?, if the wall surface temperature is T, = 30°C. Assume the exposed wall surface is gray, and the surroundings are large. g'ony W/m? W/m2 %3DA one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T, = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m2-K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface temperature is T, = 29°C. Assume the exposed wall surface is gray, and the surroundings are large. qlony i W/m2 g" i W/m? drad
- A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T = 20°C and Tsur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m².K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m², if the wall surface temperature is T = 25°C. Assume the exposed wall surface is gray, and the surroundings are large. q'conv i W/m² = grad = i W/m²A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are I = 20°C and Isur = 40°C, respectively. The convection heat transfer coefficient is h = 20 W/m².K, and the absorptivity of the exposed surface is a = 0.78. Determine the convective and radiative heat fluxes to the wall at x = 0, both in W/m2, if the wall surface temperature is I = 28°C. Assume the exposed wall surface is gray, and the surroundings are large. = 9 conv i W/m² 9rad i W/m²A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and surrounding temperatures are T = 15C and Tsur = 80C, respectively. The convection heat transfer coefficient is h = 40 W/(m2K) and the absorptivity of the exposed surface is = 0.8. Determine the convective and radiative heat fluxes to the wall at x = 0 in W/m2, if the wall surface temperature is 24C. Assume the exposed wall surface is gray (meaning = ) and the surroundings are much larger than the wall surface.
- Consider a very thin plate that is mounted and attached on a horizontal board. The plate is subject to an infrared lamp providing a uniform thermal radiation of 2000 W/m?. The plate absorbs 80% of the infrared irradiation and has an emissivity of 0.498. The plate is also exposed to an airflow of temperature of 20 °C and large surroundings with a temperature of 30 °C. The surface area of the plate is 1 m2 and it's surface temperature is measured to be at 104 °C. Required: Draw a clear and consistent schematic of the problem and label the operating conditions on the schematic. Perform systematic analysis, state your assumptions and justify the equation used and determine the convection heat transfer coefficient of airflow. (circle your final answer)Consider steady heat transfer between two large parallel plates at constant temperature of T1 = 500K and T2 =300K that are L =2 cm apart. Assuming the surfaces to be black ( emissivity Ɛ = 1 ), determine the rate of heat transfer between the plates per unit surface area assuming the gap between the plate filled with atmospheric air, (b) evacuated, (c) filled with fiberglass insulation, and (d) filled with superinsulation having an apparent thermal conductivity of 0.00015 W/m.˚C.The door of an oven in the kitchen of a house is 0.5 m high and 0.7 m wide. When the oven is operating, the outside temperature of the door reaches 32°C. Calculate the heat transfer from the oven door towards the room at 22°C, taking into account the effects of radiation. The emissivity of the oven door is 1 and the walls of the kitchen are at 22°C. (σ = 5.67 x 10-8 W/m 2K4 , g = 9.81 m/s2 ) NOTE: More precise values for weather characteristics can be obtained from resources on the internet. Also indicate the source you received.