9.20 Air enters a square duct through a 1-f in Fig. P9.20. Because the boundary layer d increases in the direction of flow, it is nec cross-sectional size of the duct if a constant to be maintained outside the boundary laye duct size, d, as a function of x for 0≤x≤ constant. Assume laminar flow. 2 ft/s 1 ft

Structural Analysis
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Chapter2: Loads On Structures
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9.20 Air enters a square duct through a 1-ft opening as is shown
in Fig. P9.20. Because the boundary layer displacement thickness
increases in the direction of flow, it is necessary to increase the
cross-sectional size of the duct if a constant U= 2 ft/s velocity is
to be maintained outside the boundary layer. Plot a graph of the
duct size, d, as a function of x for 0 sxs 10 ft if U is to remain
constant. Assume laminar flow.
2 ft/s
dix)
2 ft/s
1 ft
FIGURE P9.20
Transcribed Image Text:9.20 Air enters a square duct through a 1-ft opening as is shown in Fig. P9.20. Because the boundary layer displacement thickness increases in the direction of flow, it is necessary to increase the cross-sectional size of the duct if a constant U= 2 ft/s velocity is to be maintained outside the boundary layer. Plot a graph of the duct size, d, as a function of x for 0 sxs 10 ft if U is to remain constant. Assume laminar flow. 2 ft/s dix) 2 ft/s 1 ft FIGURE P9.20
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