class 13 - 9/22/2010 Subject to prescribed boundary...

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9/22/2010 1 External Flow: The Flat Plate in Parallel Flow Chapter 7 Section 7.3 • Subject to prescribed boundary conditions, numerical solutions to the momentum and energy equations yield the following results for important local boundary layer parameters : () 1/2 - with / 0.99 at 5. 5.0 5 /R 0 e , = = == x x u u vx u η δ 22 and / 0.332, d f d = , , 2 0.664Re /2 x sx fx C u τ ρ ≡= 1/3 0 332 R P x hx N and 0 = ( ) ( ) ** 00 - with / / / / xss y hqTT k Ty k uv xd Td ∞∞ =− = = *1 / 3 0 and / 0.332 Pr for Pr 0.6, dT d = => 0.332 Re Pr xx Nu k = = r P t = How were these determined? Blasius solution. Consider steady parallel flow of atmospheric air over a flat plate. The air has a temperature of 300 K and a freestream velocity of 25 m/s. Evaluate the following: a)Boundary layer thickness at distances of x = 1, 10, and 100 mm from the leading edge.
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9/22/2010 2 Consider steady parallel flow of atmospheric air over a flat plate. The air has a temperature of 300 K and a freestream velocity of 25 m/s.
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class 13 - 9/22/2010 Subject to prescribed boundary...

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