Physics > QUESTIONS & ANSWERS > Assuming incompressible flow, consider an uncambered, rectangular wing with span ?? and chord ?? as (All)
Assuming incompressible flow, consider an uncambered, rectangular wing with span ?? and chord ?? as shown in the figure below
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Problem 1. [15 points] Assuming incompressible flow, consider an uncambered, rectangular wing with span ?? and chord ?? as shown in the figure below. Model this wing using a single horseshoe vortex, ... with its bound vortex at the quarter-chord line of the wing (?? = ??⁄4), as shown in the figure. (a) Use the Biot-Savart law to calculate the velocity induced by the horseshoe vortex at the control point, which is located at �3 4 ??, 0,0�. Remember that the bound vortex is finite and the trailing vortices are semi-infinite. SOLUTION23 (b) Determine the strength of the vortex required to enforce the flow tangency condition (no flow through the airfoil) at the control point for a given angle of attack ??. Assume that the thickness of the wing and the angle of attack are small. SOLUTION4 (c) Find the lift on the wing for an angle of attack ??. SOLUTION (d) Find the slope of the lift curve ??????⁄???? for a wing with aspect ratio AR = 10. Compare the computed lift curve slope to that given by the lifting line theory for an elliptically loaded wing with the same aspect ratio. SOLUTION [Show More]
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