Accession Number : ADA072634


Title :   Use of Wagner Functions in Airfoil Design Optimization.


Descriptive Note : Final rept. 20 Mar 78-19 Mar 79,


Corporate Author : TENNESSEE TECHNOLOGICAL UNIV COOKEVILLE DEPT OF ENGINEERING SCIENCE AND MECHANICS


Personal Author(s) : Sahai,Vireshwar ; Tsao,Chen-Pierce


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a072634.pdf


Report Date : May 1979


Pagination or Media Count : 57


Abstract : The feasibility of using a series of Wagner functions to represent airfoil contours in design procedures was investigated. It was demonstrated that a large class of airfoils can be adequately described by a relatively small number of terms. A least squares type of procedure was used to determine the unknown coefficients in the series representation. The use of Wagner function representation in thin symmetrical airfoil design was investigated. Both the direct method of analysis in which the velocity distribution is calculated for a known shape and the inverse method of design in which the airfoil shape corresponding to a specified velocity distribution is determined were considered. Standard airfoil data was used to test the suitability of the Wagner function representation, and the results were found to be satisfactory. Rapid calculations were possible even in the inverse mode since the use of Wagner functions allowed the determination of all the improper integrals that appear in thin airfoil theory in closed form. (Author)


Descriptors :   *AIRFOILS , *FUNCTIONS(MATHEMATICS) , *CONTOURS , SYMMETRY , LEAST SQUARES METHOD , FOURIER SERIES


Subject Categories : Aircraft


Distribution Statement : APPROVED FOR PUBLIC RELEASE