OPTIMIZATION OF THE PROTRUSION SHAPE FOR A COUETTE-TYPE FLOW

Authors
KACIMOV AR
Citation
Ar. Kacimov, OPTIMIZATION OF THE PROTRUSION SHAPE FOR A COUETTE-TYPE FLOW, Optimal control applications & methods, 15(3), 1994, pp. 193-203
Citations number
36
Categorie Soggetti
Controlo Theory & Cybernetics","Operatione Research & Management Science",Mathematics
Journal title
Optimal control applications & methods → ACNP
ISSN journal
01432087
Volume
15
Issue
3
Year of publication
1994
Pages
193 - 203
Database
ISI
SICI code
0143-2087(1994)15:3<193:OOTPSF>2.0.ZU;2-I
Abstract
A study is made of the longitudinal 2D viscous steady flow and heat fl ux between two plates. Optimal shape design problems are solved in exp licit 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 s hown to coincide with the well-known concrete dam outline of constant hydraulic gradient.