Boundary Layer Correction

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Presentation transcript:

Boundary Layer Correction Air enters a two-dimensional wind tunnel as shown. Because of the presence of the boundary layer, fluid will be displaced away from the surface. In order to maintain a constant velocity inside the tunnel, it is necessary to increase the cross-sectional size of the tunnel. (a) Determine the channel height, H(x), as a function of the distance measured from the inlet of the tunnel, x. The tunnel velocity is 10 m/s and the tunnel inlet height is 5 m. Assume the boundary layer has a profile u(y)=Usin(y/2d). (b) What is the momentum thickness q(x) of the boundary layer flow.

Boundary Layer Correction (cont.)

Boundary Layer Correction (cont.)

Boundary Layer Correction (cont.)

Boundary Layer Correction (cont.) (c) If a sphere has a diameter of 0.1 m is placed in the center of the wind tunnel, what is the drag force exerted on the sphere. rair=1.2 kg/m3, n=1.5x10-5 m2/s. Use the following graph for CD verse Re data.