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Question

Calculate the heat transfer coefficient for a rate of free convection heat loss from a 30 cm diameter sphere maintained at 100°C and exposed to atmospheric air at 20°C.
The following properties are given:
ρ=1.06kg/m3,Cp=1008 J/kg K
k=0.028.5W/mK;μ=20.03×106kg/m.s
v=18.97×106m2/sec;β=1333K1
Use the following correlation if required: Nu=0.53(Gr.Pr)1/4

A
3.33Wm2K
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B
53.2Wm2K
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C
2.1Wm2K
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D
5.32Wm2K
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Solution

The correct option is D 5.32Wm2K
Nu=h.Dk=0.53(gβΔTD3v2×μCpk)14

h×0.30.0285=0.53⎜ ⎜ ⎜9.81×1333×80×(0.3)2(18.97×106)2×20.03×106×10080.0285⎟ ⎟ ⎟14

h=5.32 W/m2K

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