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Doppler effects of an oscillating line source in shear flow with a free surface
Institution:1. School of Engineering and Informatics, University of Sussex, Falmer, Brighton, BN1 9QJ, United Kingdom;2. MRC Brain Network Dynamics Unit, University of Oxford, Oxford, OX1 3TH, United Kingdom;3. Sackler Center for Consciousness Science, University of Sussex, Falmer, Brighton, BN1 9QJ, United Kingdom;1. Faculty of Pharmacy, Helwan University, Cairo, Egypt, Saudi Arabia;2. College of Clinical Pharmacy, King-Faisal University, Al Ahsa, Saudi Arabia;3. Al Ahli hospital, Doha, Qatar;4. Faculty of Medicine, Zagazig University, Zagazig, Egypt, USA;5. Department of Medical Microbiology and Immunology, School of Medicine, Creighton University, Omaha, NE, USA;1. Department of Medical Physics, Royal Surrey County Hospital NHS Foundation Trust, Guildford, UK;2. Metrology for Medical Physics Centre, National Physical Laboratory, Teddington, UK;3. European Organization for Research and Treatment of Cancer (EORTC) Headquarters, Belgium;4. Mount Vernon Cancer Centre, Northwood, UK;5. Radiotherapy Trials QA (RTTQA), UK;6. Calvary Mater Hospital and University of Newcastle, Australia;7. Trans-Tasman Radiation Oncology Group (TROG), Australia;8. School of Physics, University of Sydney, Camperdown, Australia;9. Department of Radiology, Graduate School of Medical Sciences, Nagoya City University, Japan;10. Japan Clinical Oncology Group (JCOG), Japan;11. Department of Radiation Physics, University of Texas MD Anderson Cancer Center, Houston, USA;12. Imaging and Radiation Oncology Core (IROC), USA;13. Australian Clinical Dosimetry Service (ACDS), Australia;14. Department of Medical Physics, Niguarda Hospital, Milan, Italy;15. Department of Radiation Oncology and Image-applied Therapy, Graduate School of Medicine, Kyoto University, Japan;p. Catharina Hospital, Eindhoven, The Netherlands
Abstract:The linearised water-wave radiation problem for the oscillating 2D submerged source in an inviscid shear flow with a free surface is investigated analytically. There is a nonzero surface velocity. The depth is infinite and the vorticity is uniform. The amplitudes radiated from the source are calculated analytically. Due to Doppler effects, there may be up to four different emitted waves, and there is resonance with zero group velocity and infinite amplitude.
Keywords:Doppler effects  Green function  Oscillating source  Shear flow  Water waves
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