In this work, we propose a novel black-box formulation of the impingement cooling system for a nozzle in a gas turbine. Leveraging on a well-known model that correlates the design features of the cooling system with the efficiency parameters, we develop NOZZLE, a new constrained black-box optimization formulation for the jet impingement cooling design. Then we illustrate how to use derivative-free algorithms for finding a solution of NOZZLE and validate the proposed model on real-word test cases.
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