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

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.

Shape optimization of an airfoil in the presence of compressible and viscous flows

“…Hence, many researchers have been interested to find the nearlybest solution. This is certainly encouraging for the author to impalement MT approach that has been used successfully in various papers [2,4,8]. The superiority of proposed approach is, the process of finding optimal solution done regardless to any initial guess.…”

“…Needless to say, this section cannot include the whole details in connection with MT approach and it would be recommended that the interested reader to refer to [2,4,8] and [15].…”

“…The stationary motion of the fluid in a bounded domain (α) with a free boundary (α) is described by the following equations consisting of full Navier-Stokes equations (see [4,6,11] and [14]). …”