100 Question 2 Air at 27°C and 1 atm flows over a flat plate at a speed of 2 m/s. The viscosity of air at 27°C is 1.85x1
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100 Question 2 Air at 27°C and 1 atm flows over a flat plate at a speed of 2 m/s. The viscosity of air at 27°C is 1.85x1
Question 2 Air at 27°C and 1 atm flows over a flat plate at a speed of 2 m/s. The viscosity of air at 27°C is 1.85x10-5 kg/ms. Assume unit depth in the z direction a) Calculate the boundary layer thickness & at distances of 20 and 40 cm from the leading edge of the plate. b) Calculate the mass flow that enters the boundary layer between x₁=20 cm and x2 = 40 cm. Note: At any point x, the mass flow in the boundary layer is given by I' =p fu(y)dy; (answer: 3.81x10-³kg/m.s You may assume laminar flow such that (from the Blasius solution) U = Uoo [3-10] 2 5x 8 = √Re f"(n) u00 f(n) n = y₁ VX Uy 0.0000 0.3321 0.0066 0.3320 0.0266 0.3315 0.0597 0.3301 0.1061 0.3274 0.1656 0.3230 0.6500 0.2668 1.3968 0.1614 2.3058 0.0612 3.3017 0.0184 4.2796 0.0024 6.2792 0.0000 0.00 0.20 0.40 0.60 0.80 1.00 2.00 3.00 4.00 4.92 6.00 8.00 westion 3 ■ ■ Ux U∞o 0.0000 0.0664 0,1328 0.1989 0.2647 0.3298 0.6298 0.8161 0.9555 0.9900 0.9990 1.0000 and X vuo 0.0000 0.0033 0.0132 0.0298 0.0528 0.0821 0.3068 0.5707 0.7582 0.8334 0.8571 0.8604 W
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