Q4A 3-m-internal-diameter spherical tank made of 5-cm thick stainless steel is used to storeiced water at 0°C. The tank is located outdoors at 25°C. Assuming the entire steel tank tobe at 0°C and thus the thermal resistance of the tank to be negligible, determine (a) therate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that meltsduring a 24-hour period. The heat of fusion of water at atmospheric pressure is = 333.7kJ/kg. The emissivity of the outer surface of the tank is 0.6, and the convection heat transfercoefficient on the outer surface can be taken to be 30 W/m2 · "C. Assume the averagesurrounding surface temperature for radiation exchange to be 15°C.

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Answered: A 3-m-internal-diameter spherical tank…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider a furnace (as a plane wall) which has a thickness of 15 cm and a surface area of 1 m?. The inside surface of the furnace wall (the hot left side of the wall) is at temperature T1. The furnace wall is made of brick with thermal conductivity of 1.198 W/m.K. The outside surface of the furnace wall (the right side of the wall) has a surface emissivity of 0.8 and is maintained at T2=101 °C and subject to air at 25 °C with convection heat transfer coefficient of 20 W/m?.K. The surroundings temperature at the outside of the furnace wall is at 25 °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 following (circle your final answers): (i) The rate of heat transfer by convection (in W); (ii) The rate of heat radiation (in W); (iii) The surface temperature of the furnace wall T1 (in °C); (iv) The rate of conduction heat…
Water hardening process of 2 m long and 0.05 m diameter steel bars will be carried out. The steel bar, which is heated up to 900 °C in the oven, is cooled to an average temperature of 100 °C in a water bath. The water bath is kept at a uniform temperature of 30 °C and the heat transfer coefficient between the water and the rod surface is 325 W/m2K. Accordingly, calculate the time required for the steel bar to cool to 100°C in the water bath. (Steel bar p=7832 kg/m3, cp=434 J/kgK, k=63.9 W/mK)
A 20-cm diameter copper ball is to be heated from 110°C to an average temperature of 170°C in 90 minutes. Taking the average density and specific heat of copper in this temperature range to be p=8950 kg/m and Cp=0.395 kJ/kg • °C, respectively, determine the total amount of heat transfer to the copper ball in kj (Area of sphere: TID2; Volume of sphere=TTD/6)? A 88.64 kJ B 886.4 kl 78.84 kJ D 788.4 kJ
An ice chest whose outer dimensions are 30 cm*40 cm*40 cm is made of 3 cm thick Styrofoam (k = 0.033 W/m°C). Initially, the chest is filled with 30 kg of ice at 0 °C, and the inner surface temperature of the ice chest can be taken to be 0 °C at all times. The heat of fusion of water at 0 °C is 333.7 kJ/kg, and the surrounding ambient air is at 20 °C. Disregarding any heat transfer from the 40 cm*40 cm base of the ice chest, determine how long it will take for the ice in the chest to melt completely if the ice chest is subjected to (a) calm air and (b) winds at 30 km/h (assume the heat transfer coefficient on the front, back and top surfaces to be the same as that on the side surfaces). Use the thermophysical properties of air as follows: k = 25.5×10-3 W/mK, ν = 15×10-6 m2/s, α = 21.1×10-6 m2/s, and β = 3.43×10-3 K-1.
A 50-kg box of beef at 8°C having a water content of 72 percent is to be frozen to a temperature of -30°C in 4 hours. Freezing point is at -2°C. Specific heat of the beef above freezing is 3.23 kJ/kg.K and below freezing is 1.5 kJ/kg.K. Determine (a) the total amount of heat that must be removed from the beef, (b) the average rate of heat removal from the beef.
When is the heat transfer through a fluid conduction and when is it convection? For which case is the rate of heat transfer higher? How does the convection heat transfer differ from the thermal conductivity of the fluid?
Calculate the temperature in an unheated space (Tunc) adjacent to a conditioned room with three (3) common surface areas of 175-ft2, 190-ft2, and 210-ft² with an overall heat transfer coefficient of 0.21, 0.27, and 0.32 Btu/h-Ft2 °F, respectively. The surface areas of the unheated space exposed to the outdoors are 175-ft² and 210-ft² with corresponding overall heat transfer coefficients of 0.21 and 0.40 Btu/h- Ft².°F. The sixth (6th) surface is on the ground and can be neglected for this example as can be the effect of any outdoor air entering the space. Inside & outside design reference temperatures are 70°F & -10°F, respectively. Tunc = 37°F Tunc = 36°F Tunc = 30°F Tunc = 35°F
A large spherical storage tank, 2 m in diameter, is buried in the earth at a location where the thermal conductivity is 1.5 W/m.°C. The tank is used for the storage of an ice mixture at 0°C, and the ambient temperature of the earth is 20°C. Calculate the heat loss from the tank.
An electric device made of copper stands on an insulating carpet in a breezy room at 20°C. A fan is set in the room to ensure a continuous air circulation. Determine the total rate of heat transfer from the device if the average values of its exposed surface area and outer surface temperature are 2.5 m² and 30°C, respectively.

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