Optimization of the protrusion shape for a couette‐type flow

A. R. Kacimov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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 languageEnglish
Pages (from-to)193-203
Number of pages11
JournalOptimal Control Applications and Methods
Issue number3
Publication statusPublished - 1994
Externally publishedYes


  • Boundary value problems
  • Complex analysis
  • Drag reduction
  • Shape optimization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics


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