Fig 23.5 Flow Around Thin Aerofoil
A vortical motion of strength
The total induced velocity in the upward direction at point p due to the entire vortex distribution along the camber line is
For a small camber (having small α), this expression is identically valid for the induced velocity at point p' due to the vortex sheet of variable strength
From Eqs (23.14) and (23.15) we can write
Consider an element ds on the camber line. Consider a small rectangle (drawn with dotted line) around ds. The upper and lower sides of the rectangle are very close to each other and these are parallel to the camber line. The other two sides are normal to the camber line. The circulation along the rectangle is measured in clockwise direction as
If the mean velocity in the tangential direction at the camber line is given by
if v is very small
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Flow Around a Thin Aerofoil
12:53 PM
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