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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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
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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