A Novel 2D Incompressible Viscous Inverse Design Method for Internal Flows Using Flexible String Algorithm

Author:

Nili-Ahmadabadi Mahdi1,Hajilouy-Benisi Ali2,Ghadak Farhad2,Durali Mohammad3

Affiliation:

1. School of Mechanical Engineering, Center of Excellence in Energy Conversion, Sharif University of Technology, P.O. Box 14588-89694, Tehran, Iran

2. Qadr Aerodynamic Research Center, Imam Hossein University, P.O. Box 14588-89694, Tehran, Iran

3. School of Mechanical Engineering, Center of Excellence in Design, Robotics and Automation, Sharif University of Technology, P.O. Box 14588-89694, Tehran, Iran

Abstract

In this investigation, the flexible string algorithm (FSA), used before for inverse design of subsonic and supersonic ducts in compressible flows with and without normal shock, is developed and applied for inverse design of 2D incompressible viscous internal flow with and without separation. In the proposed method, the duct wall shape is changed under an algorithm based on deformation of a virtual flexible string in flow. At each modification step, the difference between current and target wall pressure distributions is applied to the string. The method is an iterative inverse design method and utilizes the analysis code for the flow field solution as a black-box. Some validation test cases and design examples are presented here, which show the robustness and flexibility of the method in handling complex geometries. In cases with separated flow pressure distribution, a unique solution for inverse design problem does not exist. The design algorithm is a physical and quick converging approach and can efficiently utilize commercial flow analysis software.

Publisher

ASME International

Subject

Mechanical Engineering

Reference36 articles.

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2. Stanitz, J. D. , 1980, “General Design Method for Three-Dimensional, Potential Flow Fields, I—Theory,” NASA Technical Report No. 3288.

3. A Review of Certain Inverse Methods for the Design of Ducts With 2- or 3-Dimensional Potential Flows;Stanitz

4. A Natural Formulation for the Solution of Two-Dimensional or Axis-Symmetric Inverse Problems;Zannetti;Int. J. Numer. Methods Eng.

5. Direct Design of Ducts;Ashrafizadeh;ASME J. Fluids Eng.

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