Analytic Solutions for Flows Through Cascades

Peter Jonathan Baddoo (Autor)

Buch | Softcover

XVI, 258 Seiten

2021 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-55783-6 (ISBN)

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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.

Dr Peter J. Baddoo is an Instructor of Applied Mathematics at MIT. Previously he was an EPSRC Doctoral Prize Fellow at Imperial College London. He recieved a PhD in Applied Mathematics from the University of Cambridge and an MMath from the University of Oxford. His research interests lie in the applications of complex analysis and data-driven techniques to tackle physical problems, such as those arising in fluid dynamics. He is the recipient of several prizes, including "Best Paper" awards from the AIAA and ICA, as well as an Early Career Fellowship from the London Mathematical Society.

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.

Erscheinungsdatum	02.09.2021
Reihe/Serie	Springer Theses
Zusatzinfo	XVI, 258 p. 75 illus., 61 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	427 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Technik ► Maschinenbau
Schlagworte	Aeroacoustics of cascade flows • Aerodynamics of cascade flows • Cascades in turbomachinery • Complex Analysis • periodic obstacles • Riemann-Hilbert problem • Riemann–Hilbert problem • Schottky-Klein prime function • Schottky–Klein prime function • Turbomachinery Performance • Wiener–Hopf method • Wiener-Hopf Method
ISBN-10	3-030-55783-9 / 3030557839
ISBN-13	978-3-030-55783-6 / 9783030557836
Zustand	Neuware