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Direction: An un-insulated air conditioning duct of rectangular cross section 1 m × 0.5 m, carrying air at 20°C with a velocity of 10 m/s, is exposed to an ambient of 30°C. Neglect the effect of duct construction material. For air in the range of 20 – 30°C, data is as follows: thermal conductivity = 0.025 W/mK; viscosity = 18 μPa.s; Prandtl number = 0.73; density =1.2 kg/m3. For laminar flow Nusselt number is 3.4 for constant wall temperature conditions and, for turbulent flow, Nu = 0.023 Re0.8Pr0.33

  1. The Reynolds number for the flow is
    1. 444
    2. 890
    3. 4.44 × 105
    4. 5.33 ×105
Correct Option: C

Lc =
4A
= 4 ×
1 × 0.5
= 0.666
D2 × 1.5

Reynolds number,
Re =
ρLcV
=
1.2 × 0.66 × 10
= 4.4 × 105 .
μ18 × 10-6



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