![]() ![]() ![]() The integral equation of lifting-surface theory is used a s the starting point for the establishment of a theory for the nonstationary airfoil which is a generalization of lifting-line theory for the stationary airfoil and which might be called "lifting-strip" theory. A clarification is gained regarding the use of principal value definitions for the integral which occur. It is shown how by integration by parts this integral equation can be transformed into the Biot-Savart theorem. On the basis of this formulation the integral equation of lifting-surface theory for an incompressible fluid is derived with the chordwise component of the fluid velocity at the airfoil as the function to be determined. On the general theory of thin airfoils for nonuniform motion General thin-airfoil theory for a compressible fluid is formulated as boundary problem for the velocity potential, without recourse to the theory of vortex motion. ![]()
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