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Robert Fares and Xiaomin ChenWashington University in St. Louis Department of Mechanical, Aerospace, and Structural
Engineering
 Advisor: Dr. Ramesh K. Agarwa
 Abstract
 In order to reduce fluid energy losses through a diffuser, it is important to maximize the 
recovery of fluid static pressure through the  diffuser. The shape optimization of an axially 
symmetric diffuser to achieve maximum pressure recovery is considered in this paper by 
using a Genetic Algorithm (GA). A genetic  algorithm developed in Java is employed 
with the CFD software Fluent to perform  the optimization of the diffuser shape. The 
fitness function for the optimization is the pressure recovery factor (Cp) of the diffuser, 
for prescribed inlet velocity and outlet pressure. Results from GA optimization are 
compared to the optimization results for the same diffuser given by Ghosh et al. 
employing an evolutionary optimization algorithm. After the validation of the GA 
optimization approach for the axisymmetric  diffuser, GA is applied to optimize the shape 
of a 3D hydro-turbine draft tube of a hydroelectric power plant in Keokuk, Iowa. The 
fitness function for the optimization of the draft tube was the pressure at the inlet, which 
was minimized to increase the performance and efficiency of the hydro-turbine power 
plant. Results from the optimization show a marked increase in performance. These 
results demonstrate that the  GA based shape optimization method is effective and can be 
successfully employed to optimize complicat ed real world configurations used in 
industrial applications for increasing performance, reducing cost, and saving energy.
 Robert L. Fares 
Robert is in his last year of undergraduate study in the Department of Mechanical, Aerospace, 
and Structural Engineering at Washington University  in St. Louis. He will  attend the University 
of Texas at Austin in pursuit of a PhD in Mechanical Engineering as a Cockrell Fellow 
beginning fall of 2010. He aspires to contribute to the thermal fluids field at the University of 
Texas and find a career at the research and development level in the energy industry.
 
 Xiaomin Chen 
Xiaomin is a doctoral student in the department of Mechanical, Aerospace and Structural 
Engineering in Washington University in St. Louis.  He is working on his doctoral dissertation in 
the area of shape optimization.
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