Abstract
The topological sensitivity analysis method gives the variation of a criterion with respect to the creation of a small hole in the domain. In this paper, we use this method to solve an inverse problem related to the turbine blade cooling. The aim is to optimize the hole characteristics created in the blade vane in order to improve the behavior of the cooling system. A topological optimization algorithm is proposed and some numerical results, showing the efficiency of our approach, are presented.
Highlights
Modern gas turbine engines are designed to operate at high temperature (1200–1400◦C) to improve thermal efficiency and power output
We suggest a mathematical approach based on the topological sensitivity analysis method [4,5,6,7,8,9,10,11]
Φ in Ω\H × (0, T), on ∂Ω × (0, T), on ∂H × (0, T), in Ω\H, with Q being a given source term, gN a heat flux, and φ the initial temperature distribution. To solve this optimization problem, we propose in this work a fast and accurate algorithm based on the topological sensitivity analysis method
Summary
Modern gas turbine engines are designed to operate at high temperature (1200–1400◦C) to improve thermal efficiency and power output. In order to improve the behavior of this cooling system, a considerable effort has been devoted to optimize size, location, and shape of the created holes. The main idea is to compute the asymptotic topological expansion with respect to the insertion of a small cooling hole.
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