Consider the incompressible, two-dimensional, steady, and symmetric flow of air around a cylinder as sketched below. The velocity profiles at the upstream end 1, downstream end 2, and two horizontal ends 3 and 4 of a rectangular control volume are measured by Vis = V, Vjy = 0, %3D Ix ly V. y V +29), V, = 0, 2x 30 `h? V = V,, V = V, and 3x V = V, V4y =-V, respectively, where the free-stream velocity V. and the height h are known quantities. Assume that V, = 30 m/s and h= 10 m. (1) Determine the volume flow rate across the horizontal surfaces 3 and 4.
Consider the incompressible, two-dimensional, steady, and symmetric flow of air around a cylinder as sketched below. The velocity profiles at the upstream end 1, downstream end 2, and two horizontal ends 3 and 4 of a rectangular control volume are measured by Vis = V, Vjy = 0, %3D Ix ly V. y V +29), V, = 0, 2x 30 `h? V = V,, V = V, and 3x V = V, V4y =-V, respectively, where the free-stream velocity V. and the height h are known quantities. Assume that V, = 30 m/s and h= 10 m. (1) Determine the volume flow rate across the horizontal surfaces 3 and 4.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Consider the incompressible, two-dimensional, steady, and symmetric flow of air
around a cylinder as sketched below. The velocity profiles at the upstream end 1,
downstream end 2, and two horizontal ends 3 and 4 of a rectangular control volume are
measured by
V = V, Vy =0,
Ix
(-
V,,
30 `h?
+29), V, =0,
2х
2y
V3 = V, Vy = V, and
V = V,, V =-V,
respectively, where the free-stream velocity V. and the height h are known quantities.
Assume that V, = 30 m/s and h = 10 m.
(1) Determine the volume flow rate across the horizontal surfaces 3 and 4.
(2) Determine the drag force per meter of length acting on the cylinder. Use p=1.23 kg/m³.
%3D
4x
Y
V1
V3
V2
3
1
V4
4
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