Critical viscous surface waves over an incline |
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| Institution: | 1. School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou, Henan, 450001, China;2. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology, Zhengzhou University, Zhengzhou, Henan, 450001, China;3. School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, Henan, 450001, China;4. Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China;5. State Key Laboratory of Tribology in Advanced Equipment, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China;6. School of Mechanical Engineering and Automation, Beihang University, Beijing, 100091, China;7. Research Institute of Aero-Engine, Beihang University, Beijing, 100191, China;1. Jiangsu Key Laboratory of Advanced Metallic Materials, Southeast University, Nanjing, 211189, China;2. School of Materials Science and Engineering, Nanjing Institute of Technology, Nanjing, 211167, China;3. School of Mechanical Engineering, University of Adelaide, Adelaide, SA, 5005, Australia;4. School of Engineering, Edith Cowan University, Joondalup, WA, 6027, Australia;1. School of Mechanical and Electric Engineering, Soochow University, Suzhou, 215021, China;2. Faculty of Engineering, Huanghe Science and Technology University, Zhengzhou, 450000, China;3. School of Mechanical Engineering, Jiangnan University, Wuxi, 214122, China;1. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, China;2. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, 150001, China;1. Soete Laboratory, Department of Electromechanical, Systems and Metal Engineering, Ghent University, B-9052, Ghent, Belgium;2. Flanders Make, The Strategic Research Centre for the Manufacturing Industry, B-3001, Leuven, Belgium;3. Department of Materials Engineering, KU Leuven, B-3001, Leuven, Belgium;4. Unit of Systems and Component Design, KTH Royal Institute of Technology, SE-100 44, Stockholm, Sweden |
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| Abstract: | Surface waves moving at a speed near some critical value on a viscous fluid flow down an incline are studied. An inhomogeneous equation of the Burgers type is derived as a model equation for the long time evolution of the surface waves, when the shear stress on the free surface and the deviation of the uneven bottom from an inclined plane are prescribed. A soliton-like wave and a shock-like front generated ahead of or behind a moving source on the free surface are discovered. |
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