The present work involves the implementation of an efficient optimization procedure for the design of airfoils in viscous flows The scope of the work is limited to low Reynolds number, incompressible, and unstalled fluid flow. Cubic Bezier curves with corresponding polygons are employed to define the airfoil, the vertices of which are used as design variables in the optimization process. Inviscid conditions about the airfoil are determined using a traditional Hess-Smith-Douglas panel method. Boundary layer calculations are subsequently made based on the inviscid results and the solution is updated, thereby accounting for viscous effects. A hybrid Generalized Reduced Gradient/Sequential Quadratic Programming method is used in conjunction with the aerodynamic model, to optimize the airfoils. Results were obtained for maximum lift and minimum drag problems with and without constraints. The results of the optimization were validated using CFD.

Library of Congress Subject Headings

Aerofoils--Aerodynamics--Mathematics; Mathematical optimization; Engineering design

Publication Date


Document Type


Department, Program, or Center

Manufacturing and Mechanical Engineering Technology (CAST)


Veketaraman, P.

Advisor/Committee Member

Kochersberger, Kevin

Advisor/Committee Member

Ogut, Ali


Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: TL574.A4 M33 1995


RIT – Main Campus