Abstract
A study is made of the longitudinal 2D viscous steady flow and heat flux between two plates. Optimal shape design problems are solved in explicit form and shown to have unique global extrema. Conformal mappings are used to bring the problems into a fixed domain and solve them as Dirichlet boundary value problems in the form of Cauchy integrals and series expansions. For the simplest problem statement the optimum is shown to coincide with the well‐known concrete dam outline of constant hydraulic gradient.
| Original language | English |
|---|---|
| Pages (from-to) | 193-203 |
| Number of pages | 11 |
| Journal | Optimal Control Applications and Methods |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1994 |
| Externally published | Yes |
Keywords
- Boundary value problems
- Complex analysis
- Drag reduction
- Shape optimization
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Control and Optimization
- Applied Mathematics