Question
A small metal bead (radius 0.5 mm), initially at 100°C, when placed in a stream of fluid at 20°C, attains a temperature of 28°C in 4.35 seconds. The density and specific heat of the metal are 8500 kg/m³ and 400 J/kgK, respectively. If the bead is considered as lumped system, the convective heat transfer coefficient (in W/m²K) between the metal bead and the fluid stream is
Options :
283.3
299.8
149.9
449.7
Answer :
299.8
Solution :
Given, Cp = 400 J/kgK, ρ = 8500 kg/m3, t = 4.35 sec, r = 0.5 mm
Ti = 100°C, T∞ = 20°C, T = 28°C
Using equation (1) and putting the given values :
∴ Heat transfer coefficient = 299.8 W/m2K
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