Abstract
It is useful for many industrial applications to be able to control turbulence in fluid flows either to reduce it or, in some cases, to increase it. The most important applications are probably those arising in aeronautics which include the reduction of skin friction drag and the delay of transition to turbulence or separation of the boundary layer. This chapter describes the modelling of the open loop control problem under consideration and gives the main theoretical result. It describes the numerical algorithm which has been used without theoretical justification and which has produced a nearly ideal result in some cases in which we obtain an almost complete relaminarization of the flow. The chapter discusses some other issues, namely some conjectures on the theoretical justification of the algorithm which we used, the wall information problem, and some preliminary remarks on the utilization and implementation of robust control.
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