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A spherical tank measuring 3m diameter internal diameter is constructed from stainless steel AISI 316 (thickness 1cm,kwall=13.4Wm1K1 ) for the purpose of storing liquid nitrogen (77 K). The tank has a small vent to maintain the gas headspace at 1atm. A silica insulation layer (5cm,kins=0.0017Wm1K1) is coated onto the exterior of the stainless steel body to minimize the loss of liquid nitrogen by heat absorption. The tank is exposed to constant air breeze at 10 ms1 from the northern direction. 9) Estimate the average convection heat transfer coefficient experienced by the exterior wall if the breeze is at 300K. Draw the equivalent thermal circuit. Calculate the thermal resistance of each component and the heat absorbed by the liquid N2 per hour. Hint: You may need to guess the surface temperature of the tank, and subsequently verify. (12 markah/marks) b) Sketch the temperature distribution of the tank wall and insulation. Explain qualitatively why the temperature gradient should be straight or curved. (4 markah/marks) C) An array of 1010 spherical tanks is arranged in a staggered orientation on the storage site (Figure 1). If you were to pick a tank that will have the slowest evaporation rate, which tank will that be (shade your tank of choice directly on the question sheet)? Give your justification. (4 markah/marks) Gambarajah 1 / Figure 1: Susunan tangki cecair nitrogen serangkai / Arrangement of liquid nitrogen tanks array