03802nam 22005775 450 99660167090331620240619143127.03-030-55781-210.1007/978-3-030-55781-2(CKB)4100000011406860(MiAaPQ)EBC6326318(DE-He213)978-3-030-55781-2(PPN)250215527(EXLCZ)99410000001140686020200831d2020 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAnalytic Solutions for Flows Through Cascades /by Peter Jonathan Baddoo1st ed. 2020.Springer International Publishing2020Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (269 pages)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-50533-030-55780-4 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.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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053PhysicsFluid mechanicsAcoustical engineeringMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Engineering Fluid Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15044Engineering Acousticshttps://scigraph.springernature.com/ontologies/product-market-codes/T16000Physics.Fluid mechanics.Acoustical engineering.Mathematical Methods in Physics.Engineering Fluid Dynamics.Engineering Acoustics.621.51Baddoo Peter Jonathanauthttp://id.loc.gov/vocabulary/relators/aut841724MiAaPQMiAaPQMiAaPQBOOK996601670903316Analytic Solutions for Flows Through Cascades1878906UNISA