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Book Cover
E-book
Author Baddoo, Peter Jonathan, author.

Title Analytic solutions for flows through cascades / Peter Jonathan Baddoo
Published Cham, Switzerland : Springer, [2020]

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Description 1 online resource (xvi, 258 pages) : illustrations
Series Springer theses, 2190-5061
Springer theses. 2190-5061
Contents Introduction -- Potential Flow Through Cascades of Thin, Impermeable Aerofoils -- Scattering by Cascades of Aerofoils with Realistic Geometry -- Potential Flow Through Cascades of Thin, Porous Aerofoils -- Scattering by Cascades of Aerofoils with Complex Boundary Conditions -- Potential Flow Through Cascades with Multiple Aerofoils per Period -- The Quasi-Periodic Compact Green's Function -- Conclusion
Summary 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 are also useful for aircraft designers seeking to balance aeroacoustic and aerodynamic effects
Notes "Doctoral thesis accepted by University of Cambridge, Cambridge, United Kingdom."
Bibliography Includes bibliographical references
Notes Description based on resource, viewed October 22, 2020
Subject Cascades (Fluid dynamics)
Aerodynamic noise.
Aeroacoustics.
Mechanics of fluids.
Acoustic & sound engineering.
Mathematical physics.
Technology & Engineering -- Mechanical.
Technology & Engineering -- Acoustics & Sound.
Science -- Mathematical Physics.
Aeroacoustics
Aerodynamic noise
Cascades (Fluid dynamics)
Genre/Form Electronic books
Form Electronic book
ISBN 9783030557812
3030557812