The blowing problem of fluid mechanics concerns the injection or suction of fluid through the surface of a moving body for the purpose of altering the stress exerted on the body. Using a low Reynolds number theory, this problem is examined as one of determining the optimal injection-suction profile. This approach leads to a nonstandard problem in the calculus of variations. The minimizing solution of the variational problem is shown to satisfy an ordinary differential equation. By solving this differential equation with the appropriate end conditions, the optimal injection-suction profile is obtained. Explicit results are given for an illustrative example.
ASJC Scopus subject areas
- Applied Mathematics