In this study,a Gaussian Process Regression(GPR)surrogate model coupled with a Bayesian optimization algorithm was employed for the single-objective design optimization of fan-shaped film cooling holes on a concave wa...In this study,a Gaussian Process Regression(GPR)surrogate model coupled with a Bayesian optimization algorithm was employed for the single-objective design optimization of fan-shaped film cooling holes on a concave wall.Fan-shaped holes,commonly used in gas turbines and aerospace applications,flare toward the exit to form a protective cooling film over hot surfaces,enhancing thermal protection compared to cylindrical holes.An initial hole configuration was used to improve adiabatic cooling efficiency.Design variables included the hole injection angle,forward expansion angle,lateral expansion angle,and aperture ratio,while the objective function was the average adiabatic cooling efficiency of the concave wall surface.Optimization was performed at two representative blowing ratios,M=1.0 and M=1.5,using the GPR-based surrogate model to accelerate exploration,with the Bayesian algorithm identifying optimal configurations.Results indicate that the optimized fan-shaped holes increased cooling efficiency by 15.2%and 12.3%at low and high blowing ratios,respectively.Analysis of flow and thermal fields further revealed how the optimized geometry influenced coolant distribution and heat transfer,providing insight into the mechanisms driving the improved cooling performance.展开更多
As has been observed by Morse [1], any generic vector field v on a compact smooth manifold X with boundary gives rise to a stratification of the boundary by compact submanifolds , where . Our main observation is that ...As has been observed by Morse [1], any generic vector field v on a compact smooth manifold X with boundary gives rise to a stratification of the boundary by compact submanifolds , where . Our main observation is that this stratification re-flects the stratified convexity/concavity of the boundary ?with respect to the ?v-flow. We study the behavior of this stratification under deformations of the vector field v. We also investigate the restrictions that the existence of a convex/concave traversing ?v-flow imposes on the topology of X. Let be the orthogonal projection of on the tangent bundle of . We link the dynamics of theon the boundary with the property of in X being convex/concave. This linkage is an instance of more general phenomenon that we call “holography of traversing fields”—a subject of a different paper to follow.展开更多
基金supported by the Jiangsu Association for Science and Technology,grant number SKX 0225089the National Natural Science Foundation of China,grant number 52476027.
文摘In this study,a Gaussian Process Regression(GPR)surrogate model coupled with a Bayesian optimization algorithm was employed for the single-objective design optimization of fan-shaped film cooling holes on a concave wall.Fan-shaped holes,commonly used in gas turbines and aerospace applications,flare toward the exit to form a protective cooling film over hot surfaces,enhancing thermal protection compared to cylindrical holes.An initial hole configuration was used to improve adiabatic cooling efficiency.Design variables included the hole injection angle,forward expansion angle,lateral expansion angle,and aperture ratio,while the objective function was the average adiabatic cooling efficiency of the concave wall surface.Optimization was performed at two representative blowing ratios,M=1.0 and M=1.5,using the GPR-based surrogate model to accelerate exploration,with the Bayesian algorithm identifying optimal configurations.Results indicate that the optimized fan-shaped holes increased cooling efficiency by 15.2%and 12.3%at low and high blowing ratios,respectively.Analysis of flow and thermal fields further revealed how the optimized geometry influenced coolant distribution and heat transfer,providing insight into the mechanisms driving the improved cooling performance.
基金Partially supported by NSF (10801079)Partially supported by RFDP (20080551002)+1 种基金Partially supported by LPMC of MOE of ChinaPartially supported by the 973 Program of MOST, NNSF, MCME, RFDP, LPMC of MOE of China, S. S. Chern Foundation, and Nankai University
文摘In this paper, the concavity of closed geodesics proposed by M. Morse in 1930s is studied.
文摘As has been observed by Morse [1], any generic vector field v on a compact smooth manifold X with boundary gives rise to a stratification of the boundary by compact submanifolds , where . Our main observation is that this stratification re-flects the stratified convexity/concavity of the boundary ?with respect to the ?v-flow. We study the behavior of this stratification under deformations of the vector field v. We also investigate the restrictions that the existence of a convex/concave traversing ?v-flow imposes on the topology of X. Let be the orthogonal projection of on the tangent bundle of . We link the dynamics of theon the boundary with the property of in X being convex/concave. This linkage is an instance of more general phenomenon that we call “holography of traversing fields”—a subject of a different paper to follow.
