We present a theory for computing the optimal steady suction distribution in order to minimize the growth of convectively unstable disturbances, and thus delay laminar-turbulent transition on swept wings. Here, we use the optimal control theory and minimize an objective function based on a sum of the kinetic energy of an arbitrary number of disturbances. The optimization procedure is gradient-based where the gradients are obtained using the adjoint of the parabolized stability equations and the adjoint of the boundary layer equations. Results are presented for an air foil designed for medium range commercial air crafts. © 2006 Springer.
Optimal suction design for hybrid laminar flow control
PRALITS, JAN OSCAR;
2006
Abstract
We present a theory for computing the optimal steady suction distribution in order to minimize the growth of convectively unstable disturbances, and thus delay laminar-turbulent transition on swept wings. Here, we use the optimal control theory and minimize an objective function based on a sum of the kinetic energy of an arbitrary number of disturbances. The optimization procedure is gradient-based where the gradients are obtained using the adjoint of the parabolized stability equations and the adjoint of the boundary layer equations. Results are presented for an air foil designed for medium range commercial air crafts. © 2006 Springer.
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