Acta Applicandae Mathematicae

, Volume 104, Issue 3, pp 243–256

# Shape Optimization of a Nozzle with Specified Flow Field Including Viscosity Effect

• M. H. Farahi
• J. A. Esfahani
Article

## Abstract

In this article we intend to find the optimal shape of a nozzle respecting to some given target flow fields including viscosity effect. Via an approach based on measure theory which is not an iterative method and need not to any initial guess, each shape optimization problems are solved and consequently each geometry of the nozzle corresponding to prescribed flow fields is determined. Analyzing several case studies make us to confident on the use of the presented approach, because the obtained results give entirely the same as what we expect physically.

## Keywords

Navier-Stokes equations Optimal shape design (OSD) Optimal control Measure theory Linear programming problem

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