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ABSTRACT
To keep the spatially averaged temperature and thermal stress of gas turbine blades and guide vanes within a permissible level, the present research concentrates on the optimization of the internal cooling passages in a guide vane. The main purpose is to search for the most optimal sizes, distributions, and shapes of internal cooling channels located in a guide vane. Cylindrical cooling passages and newly built passages shaped by Bezier curves are both considered in this investigation. In order to maintain the shapes of the cooling channels within the scale of the vane profile, a new technique is suggested to discretize the vane into the components, and then the outline of the passages is built based on the components. The optimization of sizes, locations, and shapes of the cooling passages is solved as a single-objective problem using a gradient-based optimization algorithm, i.e., the globally convergent method of moving asymptotes (GCMMA). The optimized result displays a substantial reduction in both the spatially averaged temperature and thermal stress of the vane, and the related configurations are included and discussed in the investigation.
Nomenclature
| d | = | hydraulic diameter |
| E | = | elasticity tensor |
| h | = | convective heat transfer coefficient |
| n | = | number |
| Nu | = | Nusselt number |
| Pr | = | Prandtl number |
| R | = | rotation matrix |
| Re | = | Reynolds number |
| T | = | translation matrix |
| T0 | = | the initial temperature distribution |
| uik, lik | = | the upper and lower moving asymptotes of the design variables xi |
| xik | = | the ith variable in the kth iteration |
| xi, yi | = | center coordinates of the ith cooling hole |
| x, y | = | global coordinates |
| Xf, yf | = | reference point coordinate of the local coordinate system |
| Δxi | = | the disturbance of xik |
| X0 | = | the matrix of shape design variables |
| β | = | thermal elasticity tensor |
| ε | = | strain tensor |
| Θf | = | rotation angle between local coordinate and global coordinate |
| λ | = | thermal conductivity |
| μ | = | fluid viscosity |
| ν | = | speed of fluid |
| ρ | = | density of air |
| ρk | = | global convergence control parameter in the kth iteration |
| σ | = | the stress tensor |
Nomenclature
| d | = | hydraulic diameter |
| E | = | elasticity tensor |
| h | = | convective heat transfer coefficient |
| n | = | number |
| Nu | = | Nusselt number |
| Pr | = | Prandtl number |
| R | = | rotation matrix |
| Re | = | Reynolds number |
| T | = | translation matrix |
| T0 | = | the initial temperature distribution |
| uik, lik | = | the upper and lower moving asymptotes of the design variables xi |
| xik | = | the ith variable in the kth iteration |
| xi, yi | = | center coordinates of the ith cooling hole |
| x, y | = | global coordinates |
| Xf, yf | = | reference point coordinate of the local coordinate system |
| Δxi | = | the disturbance of xik |
| X0 | = | the matrix of shape design variables |
| β | = | thermal elasticity tensor |
| ε | = | strain tensor |
| Θf | = | rotation angle between local coordinate and global coordinate |
| λ | = | thermal conductivity |
| μ | = | fluid viscosity |
| ν | = | speed of fluid |
| ρ | = | density of air |
| ρk | = | global convergence control parameter in the kth iteration |
| σ | = | the stress tensor |