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By N.A.V. Piercy

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25), this reduces, by similar expression with readily obtained to is r written for q^q it to compare with (56). series is rapidly convergent, and the equation indicates that the error involved in applying (55) to a gas in adiabatic flow is The above 2 Since a is only small, provided that q? is small compared with a, in for as particular cases, example at the tips of approached by q l it follows that air in motion airscrews, may usually be treated as an . incompressible fluid, such as water. = As an example, consider the case q 2 2q t in employing (55) instead of (57) is as follows .

For a question of sign, and we shall investigate one layer except fc only. Draw Ox (Fig. 10) in the fixed plate (taken to be the lower one) u=U y u U-O tr FIG. 10. and motion of the other, and Oy vertically up22 Article air By touching the fixed plate has a velocity 0, while for air touching the moving plate u U, and the in the direction of ward. u = = between is urged forward from above, but the ensuing motion is retarded from below. Now it is assumed that, after sufficient time has elapsed, the motion in the layer becomes steady.

The disturbed velocity q were made along several normals to the wing surface values of q sin a/C7 are plotted for the two shown, viz. S l l and 52 ]V2 distance from the surface along either normal being denoted by n and the angle between q and the normal by a. The flow across any part of a normal is given by the value of the ; N , integral \q sin a over that part. Choose a point A desired that a streamline shall pass. dn on S l N l through which Evaluate graphically it is 46 AERODYNAMICS q l sin a For n small, sin a = 1-0.

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