期刊全称 | Analytic Solutions for Flows Through Cascades | 影响因子2023 | Peter Jonathan Baddoo | 视频video | | 发行地址 | Nominated as an outstanding Ph.D. thesis by the ?University of Cambridge, Cambridge, United Kingdom.Exceptionally clear presentation with beautiful figures.Eludicates the fundamental mechanicsms of co | 学科分类 | Springer Theses | 图书封面 |  | 影响因子 | This thesis is concerned with flows through cascades, i.e. periodic arrays of obstacles. Such geometries are relevant to a range of physical scenarios, chiefly the aerodynamics and aeroacoustics of turbomachinery flows. Despite the fact that turbomachinery is of paramount importance to a number of industries, many of the underlying mechanisms in cascade flows remain opaque. In order to clarify the function of different physical parameters, the author considers six separate problems. For example, he explores the significance of realistic blade geometries in predicting turbomachinery performance, and the possibility that porous blades can achieve noise reductions. In order to solve these challenging problems, the author deploys and indeed develops techniques from across the spectrum of complex analysis: the Wiener–Hopf method, Riemann–Hilbert problems, and the Schottky–Klein prime function all feature prominently. These sophisticated tools are then used to elucidate the underlying mathematical and physical structures present in cascade flows. The ensuing solutions greatly extend previous works and offer new avenues for future research. The results are not of simply academic value but | Pindex | Book 2020 |
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