A delivery car carries a long sign on the top, which can be considered as a thin plate (thin in the direction into the paper). The car is moving at 65miles/hour. (a) Is the boundary layer laminar or turbulent at the trailing edge? (b) If the boundary layer is laminar at the trailing edge, assume the entire boundary layer is laminar. If the boundary layer is turbulent at the trailing edge, assume the entire boundary layer is turbulent. Then estimate the drag on the sign (it has two sides!). (c) If the boundary layer is turbulent at the trailing edge, use the mixed boundary layer (laminar + turbulent) formula to estimate the drag (It has two sides!). Valid Range Cy = CDf = FD pUAw Phil's Pizza: 555-5748 Boundary layer flow over a flat plate formulas: Laminar -8 m- Turbulent ReL 5.105 5-105 < ReL < 107 107 < ReL < 10⁹ 0.371 (Re)1/5 5 (Re)1/2 0.664 (Re)1/2 1.328 (ReL)¹/2 0.0740 (ReL)1/5 0.0576 (Re)1/5 0.455 (log10 ReL) 2.58 60 cm Mixed 5.105 ReL < 10⁹ 0.455 (log10 ReL)2.58 - 1700 REL

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.55P
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Problem 3:
A delivery car carries a long sign on the top, which can be considered as a thin plate (thin in the
direction into the paper). The car is moving at 65miles/hour.
(a) Is the boundary layer laminar or turbulent at the trailing edge?
(b) If the boundary layer is laminar at the trailing edge, assume the entire boundary layer is
laminar. If the boundary layer is turbulent at the trailing edge, assume the entire boundary
layer is turbulent. Then estimate the drag on the sign (it has two sides!).
(c) If the boundary layer is turbulent at the trailing edge, use the mixed boundary layer
(laminar+turbulent) formula to estimate the drag (It has two sides!).
Valid Range
8/x
C₁=PU²
CDf =
FD
Phil's Pizza: 555-5748
Boundary layer flow over a flat plate formulas:
Laminar
8 m-
5
(Re)1/2
REL 5-105 5-105 < ReL < 107 107 < Ret < 10⁹
0.371
(Re)1/5
0.664
(Re)1/2
1.328
(ReL)1/2
Turbulent
0.0740
(ReL)1/5
0.0576
(Re)1/5
0.455
(log10 Rez) 2.58
60 cm
Mixed
5-105 ReL < 10⁹
0.455
(log10 ReL) 2.58
1700
REL
Transcribed Image Text:Problem 3: A delivery car carries a long sign on the top, which can be considered as a thin plate (thin in the direction into the paper). The car is moving at 65miles/hour. (a) Is the boundary layer laminar or turbulent at the trailing edge? (b) If the boundary layer is laminar at the trailing edge, assume the entire boundary layer is laminar. If the boundary layer is turbulent at the trailing edge, assume the entire boundary layer is turbulent. Then estimate the drag on the sign (it has two sides!). (c) If the boundary layer is turbulent at the trailing edge, use the mixed boundary layer (laminar+turbulent) formula to estimate the drag (It has two sides!). Valid Range 8/x C₁=PU² CDf = FD Phil's Pizza: 555-5748 Boundary layer flow over a flat plate formulas: Laminar 8 m- 5 (Re)1/2 REL 5-105 5-105 < ReL < 107 107 < Ret < 10⁹ 0.371 (Re)1/5 0.664 (Re)1/2 1.328 (ReL)1/2 Turbulent 0.0740 (ReL)1/5 0.0576 (Re)1/5 0.455 (log10 Rez) 2.58 60 cm Mixed 5-105 ReL < 10⁹ 0.455 (log10 ReL) 2.58 1700 REL
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