LEADER 03548nam 22005775 450 001 9910863175103321 005 20251113193612.0 010 $a3-030-55781-2 024 7 $a10.1007/978-3-030-55781-2 035 $a(CKB)4100000011406860 035 $a(MiAaPQ)EBC6326318 035 $a(DE-He213)978-3-030-55781-2 035 $a(PPN)250215527 035 $a(MiAaPQ)EBC29228862 035 $a(EXLCZ)994100000011406860 100 $a20200831d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalytic Solutions for Flows Through Cascades /$fby Peter Jonathan Baddoo 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (269 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 311 08$a3-030-55780-4 327 $aIntroduction -- 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. 330 $aThis thesis is concerned with flows through cascades, i.e. periodic arrays of obstacles. Such geometries are relevant to a range of physical scenarios, chiefly the aerodynamics and aeroacoustics of turbomachinery flows. Despite the fact that turbomachinery is of paramount importance to a number of industries, many of the underlying mechanisms in cascade flows remain opaque. In order to clarify the function of different physical parameters, the author considers six separate problems. For example, he explores the significance of realistic blade geometries in predicting turbomachinery performance, and the possibility that porous blades can achieve noise reductions. In order to solve these challenging problems, the author deploys and indeed develops techniques from across the spectrum of complex analysis: the Wiener?Hopf method, Riemann?Hilbert problems, and the Schottky?Klein prime function all feature prominently. These sophisticated tools are then used to elucidate the underlying mathematical and physical structures present in cascade flows. The ensuing solutions greatly extend previous works and offer new avenues for future research. The results are not of simply academic value but are also useful for aircraft designers seeking to balance aeroacoustic and aerodynamic effects. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 606 $aMathematical physics 606 $aFluid mechanics 606 $aNoise control 606 $aMathematical Methods in Physics 606 $aEngineering Fluid Dynamics 606 $aNoise Control 615 0$aMathematical physics. 615 0$aFluid mechanics. 615 0$aNoise control. 615 14$aMathematical Methods in Physics. 615 24$aEngineering Fluid Dynamics. 615 24$aNoise Control. 676 $a621.51 700 $aBaddoo$b Peter Jonathan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0841724 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910863175103321 996 $aAnalytic Solutions for Flows Through Cascades$91878906 997 $aUNINA