One of</span><span style="color:red;"> </span><span style="font-family:Verdana;">Newton’s mathematical solutions to a hypothetical orbital problem, recently verified by an ...One of</span><span style="color:red;"> </span><span style="font-family:Verdana;">Newton’s mathematical solutions to a hypothetical orbital problem, recently verified by an independent physics model, is applied to the fluid particle motion in shallow water surface gravity waves. What is the functional form of the central force, with origin at the ellipse’s center, which will keep a body in the orbit? Newton found out it is the spring force, which is linear. All fluid particles in shallow water waves move in ellipses. By a superposition of solutions in a linear problem, the application of Newton’s result to shallow water waves is combined with a feature not noticed by Newton: the orbital period is independent of the semi-major and semi-minor axes. Two conclusions reached are that the wave period of shoaling waves should be constant and that there is no friction in these waves.展开更多
1. Introduction Supported by the Sino-German Center for Research Promotion, and organized jointly by the National Natural Science Foundation of China (NSFC) and the German Research Foundation (DFG), the third Sino-Ger...1. Introduction Supported by the Sino-German Center for Research Promotion, and organized jointly by the National Natural Science Foundation of China (NSFC) and the German Research Foundation (DFG), the third Sino-German workshop on particle fluid systems was held on Oct. 24-31, 2004 in Beijing, China, following the two previous successful workshops held on Aug. 30-31,1999 in Hamburg, Germany (Li and Werther, Chem. Eng. Technol., 23(4), 378, 2000) and May 18-19, 2001 in Beijing, China (Li, Ge, Werther and Bruhns, Chem. Eng. Technol., 24(11), 1097, 2001). Thirty-one scientists from China, Germany, Japan and The Netherlands came together for interdisciplinary discussion over the core problem of multi-phase reaction systems in the name of "Chemical and Physical Interactions between Particles and Fluids".展开更多
文摘One of</span><span style="color:red;"> </span><span style="font-family:Verdana;">Newton’s mathematical solutions to a hypothetical orbital problem, recently verified by an independent physics model, is applied to the fluid particle motion in shallow water surface gravity waves. What is the functional form of the central force, with origin at the ellipse’s center, which will keep a body in the orbit? Newton found out it is the spring force, which is linear. All fluid particles in shallow water waves move in ellipses. By a superposition of solutions in a linear problem, the application of Newton’s result to shallow water waves is combined with a feature not noticed by Newton: the orbital period is independent of the semi-major and semi-minor axes. Two conclusions reached are that the wave period of shoaling waves should be constant and that there is no friction in these waves.
文摘1. Introduction Supported by the Sino-German Center for Research Promotion, and organized jointly by the National Natural Science Foundation of China (NSFC) and the German Research Foundation (DFG), the third Sino-German workshop on particle fluid systems was held on Oct. 24-31, 2004 in Beijing, China, following the two previous successful workshops held on Aug. 30-31,1999 in Hamburg, Germany (Li and Werther, Chem. Eng. Technol., 23(4), 378, 2000) and May 18-19, 2001 in Beijing, China (Li, Ge, Werther and Bruhns, Chem. Eng. Technol., 24(11), 1097, 2001). Thirty-one scientists from China, Germany, Japan and The Netherlands came together for interdisciplinary discussion over the core problem of multi-phase reaction systems in the name of "Chemical and Physical Interactions between Particles and Fluids".