Optimization of the protrusion shape for a couette‐type flow

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 languageEnglish
Pages (from-to)193-203
Number of pages11
JournalOptimal Control Applications and Methods
Volume15
Issue number3
DOIs
Publication statusPublished - 1994

Fingerprint

Concrete dams
Conformal mapping
Steady flow
Boundary value problems
Heat flux
Hydraulics
Optimization
Optimal Shape Design
Cauchy Integral
Dirichlet Boundary Value Problem
Conformal Mapping
Viscous Flow
Extremum
Steady Flow
Series Expansion
Heat Flux
Gradient
Form

Keywords

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

ASJC Scopus subject areas

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

Cite this

Optimization of the protrusion shape for a couette‐type flow. / Kacimov, A. R.

In: Optimal Control Applications and Methods, Vol. 15, No. 3, 1994, p. 193-203.

Research output: Contribution to journalArticle

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