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Problem 2 (Textbook P7.8) Air, $\rho$ = 1.2kg/m³ and $\mu$ = 1.8 × 10??kg/(ms), flows at 10m/s past a flat plate. At the trailing edge of the plate, the following velocity profile data are measured: y, mm 0 0.5 1.0 2.0 3.0 4.0 5.0 6.0 u, m/s 0 1.75 3.47 6.58 8.70 9.68 10.0 10.0 Questions: (a) What is the boundary layer thickness, $\delta$? (b) What is the momentum thickness, $\theta$? (c) What is the friction drag per unit span ($F_{drag}$/b), in N/m, on the upper surface? (Hint: $F_{drag} = b \int_0^x \tau_w dx = bpU^2\theta(x)$.)

          Problem 2 (Textbook P7.8)
Air, $\rho$ = 1.2kg/m³ and $\mu$ = 1.8 × 10??kg/(ms), flows at 10m/s past a flat plate. At the trailing
edge of the plate, the following velocity profile data are measured:
y, mm	0	0.5	1.0	2.0	3.0	4.0	5.0	6.0
u, m/s	0	1.75	3.47	6.58	8.70	9.68	10.0	10.0
Questions:
(a) What is the boundary layer thickness, $\delta$?
(b) What is the momentum thickness, $\theta$?
(c) What is the friction drag per unit span ($F_{drag}$/b), in N/m, on the upper surface? (Hint:
$F_{drag} = b \int_0^x \tau_w dx = bpU^2\theta(x)$.)

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Added by Donald M.

Introduction to Fluid Mechanics

Philip J. Pritchard, Robert W. Fox 8th Edition

Chapter 9

Instant Answer

Solved by Expert Ashar Tanveer

Step 1

The boundary layer thickness, \(\delta\), is the distance from the plate at which the flow velocity \(u\) reaches 99% of the free stream velocity \(U_0\). Here, \(U_0 = 10 \, \text{m/s}\). From the data: - At \(y = 5.0 \, \text{mm}\), \(u = 10.0 \, Show more…

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Problem 2 (Textbook P7.8) Air, Ï = 1.2 kg/m^3 and Î¼ = 1.81 Ã— 10^-5 kg/ms, flows at 10 m/s past a flat plate. At the trailing edge of the plate, the following velocity profile data are measured: y (mm) 0 0.5 1.0 2.0 3.0 4.0 5.0 6.0 u (m/s) 0 1.75 3.47 6.58 8.70 9.68 10.0 10.0 Questions: a) What is the boundary layer thickness, Î´? b) What is the momentum thickness, Î¸? c) What is the friction drag per unit span (Farag/b, in N/m) on the upper surface? (Hint: Farag = b*f*T*dx = b*p*U0*dx)

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