A circular ice rink is 30 m in diameter and is to be temporarily enclosed in a hemispherical dome of the same diameter. The ice is maintained at 270 K, and on a particular day the inner surface of the dome is measured to be 290K. Estimate the radiant heat transfer from the dome to the rink if both surfaces are considered "black."
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- 1.28 The sun has a radius of and approximates a blackbody with a surface temperature of about 5800 K. Calculate the total rate of radiation from the sun and the emitted radiation flux per square meter of surface area.Determine the rate of radiant heat emission in watts per square meter from a blackbody at (a) 15C, (b) 600C, and (c) 5700C.11.31 A large slab of steel 0.1 m thick contains a 0.1 -m-di- ameter circular hole whose axis is normal to the surface. Considering the sides of the hole to be black, specify the rate of radiative heat loss from the hole. The plate is at 811 K, and the surroundings are at 300 K.
- Three thin sheets of polished aluminum are placed parallel to each other so that the distance between them is very small compared to the size of the sheets. If one of the outer sheets is at 280C and the other outer sheet is at 60C, calculate the temperature of the intermediate sheet and the net rate of heat flow by radiation. Convection can be ignored.1.26 Repeat Problem 1.25 but assume that the surface of the storage vessel has an absorbance (equal to the emittance) of 0.1. Then determine the rate of evaporation of the liquid oxygen in kilograms per second and pounds per hour, assuming that convection can be neglected. The heat of vaporization of oxygen at –183°C is .Two parallel rectangular surfaces 1m x 2m are opposite to each other at adistance of 4 m. The surfaces are black and at 100 °C and 200 °C, respectively.Calculate the heat exchange by radiation between the two surfaces.
- A sphere has a radius of 0.100 m. Its surface can be treated as a greysurface with emissivity 0.20 and a uniform temperature of 19 degrees C. It isplaced in a room where the room surfaces are at an averagetemperature of 18 degrees C. The air in the room is at 20 degrees C. Determine the totalheat transfer rate to/from the sphere if its convective heat transfercoefficient is 3.0 W/m^2K. (The surface area of a sphere is 4πr^2.) The answer is 0.236W Equations to help: Heat Transfer by convection: Q = Ahc(Tf-Ts) Heat Transfer by radiation: Q = Aεσ(T^4(1)-T^4(2))A circular disk (ignore its thickness) of D = 1 m diameter is placed over a barbecue pit maintainedat T1 = T2 = 600 K. The upper surface of the disk is exposed to quiescent ambient air andsurroundings at 300 K. The bottom surface and top surface of the disk has emissivities of d,1 = 1.0and d,2 = 0.9, respectively. The bottom and cylindrical side surface of the barbecue pit haveemissivities of 1 = 0.6 and 2 = 1.0, respectively. Assume the disk and barbecue pit surfaces arediffuse and gray.A) Determine the net heat transfer rate to the cover, qnet,d, when Td = 500 K.B) Plot qnet,d as a function of the disk temperature for 300 K < Td < 600 K, using Excel orMATLAB. What is the steady-state temperature of the disk?Radiation. A black body of total area 0.054m? is completely enclosed in a space bounded by 57 mm thick walls. The walls have a surface area 0.5 m² and thermal conductivity 1.05W/m.K. If the inner surface of the enveloping wall is to be maintained at 185°C and the outer wall surface is at 25°C, calculate the temperature of the black body. Neglect the difference between inner and outer surfaces areas of enveloping material. Stefan-Boltzmann constant o = 5.67x10* W/m²K'.Note: Under steady condition, the heat conducted through the wall must equal to the net radiation loss from the black body.
- A small disc-shaped earth satellite, 1m in diameter, circles the earth (radius 6250 km) at a distance of 300 km from the surfaces. The flat surface of the disc is oriented is tangential to the earth’s surface. The satellite surface has an emissivity of 0.3 and is at -18 ⁰C. One may assume that, i) The average earth surface temperature is 27⁰C and it’s a black bodyii) The satellite is in the shadow of the earth.(as shown in Figure 1)iii) The part of the satellite surroundings not occupied by the earth is black and at 0K. The net heat rate at which energy is leaving the satellite is;a. 0 Wb. 1 Wc. 10.5 W d. 14.5 WA furnace is shaped like a 1-m-diameter and 1-m-long vertical cylinder. The base surface has an emissivity of 0.7 and is maintained at a uniform temperature of 525 K. The side surface has an emissivity of 0.3 and is maintained at a uniform temperature of 600 K. The top surface has an emissivity of 0.5 and is maintained at a uniform temperature of 450 K. If Fbase-top=0.62; Fside-base=0.31, determine the net radiation heat transfer FROM the side surface to the top surface (W). O a. -1986 O b. -1651 O C. -999 O d. 1986. O e. 1651 O f. 999Could you give me some explanation, the correct answer is at the bottom of the question.