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3. Consider the following fluids at a film temperature of 300 K in parallel flow over a flat plate with velocity of 1 m/s: atmospheric air and mercury. a. For each fluid, estimate the velocity and thermal boundary layer thicknesses at a distance of 40 mm from the leading edge. (4 pts for each boundary layer thickness determination. Total 16 pts) At what distance from the leading edge, do the boundary layers of air and mercury transition to turbulence? (5 pts) b. c. Explain why the transition lengths of air is lesser/greater than that of mercury? (4 pts) You may find the following relationships useful: 211when PrSSI L PrRei when N Pr >>1 Thermo-physical properties: Air, 28.97 kg/kmol P-10 (ms) , 107 (K) 300 (kg/m3) 1.1614 (kJ/kg-K) 1.007 k 10 (W/m-K) 10 (m?s) (N.s/m2) 184.6 15.89 26.3 22.5 0.707 Mercury (Hg) 驱. 102 k-10 (ms) (Wim-k) (s) 10 o 10 Pr 300 13,529 0.1393 0.1523 0.1125 8540 45.30 0.0248
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