Interactions between pairs of oblique waves in a Bickley jet |
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| Institution: | 1. Institute of Resource, Ecosystem and Environment of Agriculture, Nanjing Agricultural University, China;2. Jiangsu Collaborative Innovation Center for Solid Organic Waste Resource Utilization, Nanjing 210095, China;3. School of Materials Science and Engineering, University of New South Wales, NSW 2052, Australia;4. Institute of Biological and Environmental Sciences, University of Aberdeen, 23 St Machar Drive, Aberdeen AB24 3UU, UK;5. Department of Environmental Sciences, University of California Riverside, CA 92521, USA;6. Department of Soil Science of Temperate Ecosystems, University of Göttingen, Büsgenweg 2, Göttingen 37077, Germany;7. Department of Agricultural Soil Science, University of Göttingen, Büsgenweg 2, Göttingen 37077, Germany;8. Provincial Key Laboratory of Carbon Cycling in Forest Ecosystems and Carbon Sequestration, Zhejiang A & F University, Lin''an, Hangzhou 311300, China;1. School of Management, China Institute for Studies in Energy Policy, Collaborative Innovation Center for Energy Economics and Energy Policy, Xiamen University, Xiamen 361005, China;2. School of Economics and Business Administration, Chongqing University, Chongqing 400030, China;1. Cardiovascular Research Group, Dept of Medical Biology, UiT The Arctic University of Norway, Norway;2. INSERM, U970, Paris Cardiovascular Research Center (PARCC), Université Paris Descartes, Paris, France;3. Department of Advanced Biomedical Sciences, Federico II University, Naples, Italy;4. Center of Aging Sciences and Translational Medicine - CESI-MeT, Institute of Cardiology, “G. d''Annunzio” University, Chieti, Italy;5. The Texas Heart Institute and Center for Cardiovascular Biology and Atherosclerosis Research, Department of Internal Medicine, The University of Texas Health Science Center at Houston, Houston, TX, United States |
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| Abstract: | We consider the weakly nonlinear spatial evolution of a pair of varicose oblique waves and a pair of sinuous oblique waves superimposed on an inviscid Bickley jet, with each wave being slightly amplified on a linear basis. The two pairs are assumed to both be inclined at the same angle to the plane of the jet. A nonlinear critical layer analysis is employed to derive equations governing the evolution of the instability wave amplitudes, which contain a coupling between the modes. These equations are discussed and solved numerically, and it is shown that, as in related work for other flows, these equations may develop a singularity at a finite distance downstream. |
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