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Handbook of Turbomachinery Second Edition Revised - Ventech!

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single composite function is developed by combining the objective functions<br />

using weight factors. This approach tends to be highly empirical in nature<br />

and relies heavily on the experience <strong>of</strong> the designer to devise the proper<br />

arrangement <strong>of</strong> the design objectives in the optimization process.<br />

There have been a number <strong>of</strong> gas turbine design applications coupling<br />

formal optimization techniques in the recent past. Haendler et al. [27]<br />

developed an aerothermal design procedure for highly thermally loaded<br />

film-cooled first-stage gas turbine blade. Goel and Lamson [28] have used a<br />

combination <strong>of</strong> heuristic-search and numerical optimization techniques with<br />

a quasi-3D aerodynamic analysis for the design <strong>of</strong> turbine blades.<br />

Chattopadhyay et al. [12] have developed an optimization procedure for<br />

efficient aerodynamic design <strong>of</strong> turbine blades that eliminated the sharp<br />

variations in the velocity field near the blade leading edge without<br />

compromising overall blade performance. A sensitivity analysis procedure<br />

for turbine blade components was developed by Kolonay and Nagendra [29]<br />

using a Jacobian derivative-based methodology to determine semianalytic<br />

sensitivities <strong>of</strong> isotropic eight-noded (hexahedron) isoparametric finite<br />

elements with respect to geometric shape design variables. Kodiyalam et<br />

al. [30] have coupled heat-transfer and structural analysis to optimize a<br />

composite engine structure using a modified method <strong>of</strong> feasible directions<br />

algorithm. The optimization procedure used was a variation <strong>of</strong> the weighted<br />

summation method and did not include the effect <strong>of</strong> heat transfer on the<br />

blade shape. A coupled aerodynamic-structural shape optimization procedure<br />

was developed and demonstrated on a low-pressure turbine blade by<br />

Kao et al. [31]. Fatigue strength at high operating temperatures was used as<br />

the design criterion. The coupling between the two disciplines (aerodynamics<br />

and structures) was achieved though sensitivities <strong>of</strong> the optimum<br />

solutions from the subsystem designs. Tappeta et al. [32] have developed a<br />

multidisciplinary optimization approach using a concurrent subspace<br />

optimization procedure for designing an engine blade with internal cavities.<br />

The blade was modeled as a stepped beam with rectangular cavities, and the<br />

weight <strong>of</strong> the structure was used as the objective function. Optimal design <strong>of</strong><br />

turbine blade for minimum weight has been carried out by Queau and<br />

Trompette [33].<br />

The application <strong>of</strong> artificial neural networks and genetic algorithm<br />

(GA) for turbine blade optimization is gaining popularity. A neural<br />

network-based parametric coupling in turbine design was developed by Goel<br />

and Hajela [34]. The effect <strong>of</strong> heat transfer on the blade external shape was<br />

not considered in the development. The technique was applied to a threestage<br />

power turbine and an aircraft engine turbine design. Shelton et al. [35]<br />

optimized a 2D transonic turbine airfoil using an artificial intelligence<br />

engineering design shell coupled with an inviscid, adaptive CFD solver. The<br />

Copyright © 2003 Marcel Dekker, Inc.

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