Derivation and verification of minimum energy dissipation rate principle of fluid based on minimum entropy production rate principle

International Journal of Sediment Research - Tập 31 - Trang 16-24 - 2016
Guobin Xu1, Lina Zhao1, Chih Ted Yang2
1State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, China
2Civil and Environmental Engineering Department, Colorado State University, Fort Collins, US

Tài liệu tham khảo

Chang, 1979, Minimum stream power and river channel patterns, Journal of Hydrology, 41, 303, 10.1016/0022-1694(79)90068-4 Chang, 1984, Analysis of river meanders, Journal of the Hydraulic Engineering, 110, 37, 10.1061/(ASCE)0733-9429(1984)110:1(37) Deng, 1999, Mechanism and conditions for change in channel pattern, Journal of Hydraulic Research, 37, 465, 10.1080/00221686.1999.9628263 Hou, 1982 Langbein, 1965, Closure on “geometry of river channels”, Journal of the Hydraulics Division, 91, 297, 10.1061/JYCEAJ.0001248 Leopold L.B., & Langbein W.B. (1962). The concept of entropy in landscape evolution. U.S. Geological Survey, p. 20 Li, 1986 Nicolis, 1977 Qian, 1987 Wisniewski, 1988 Xu, 2004, Changes of the entropy, the entropy production and the rate of energy dissipation in river adjustment, China, Advances in Water Science, 15, 1 Xu, 2008, Principle of the minimum rate of energy dissipation for fluid based on the theory of thermodynamics, China, Advances in Science and Technology of Water Resources, 28, 16 Xu, 2012, Analysis of river bed changes based on the theories of minimum entropy production dissipative structure and chaos, China, Journal of Hydraulic Engineering, 43, 948 Yang, 1971, Potential energy and stream morphology, Water Resources Research, 7, 311, 10.1029/WR007i002p00311 Yang, 1972, Unit stream power and sediment transport, Journal of the Hydraulics Division, 98, 1805, 10.1061/JYCEAJ.0003439 Yang, 1976, Minimum unit stream power and fluvial hydraulics, Journal of the Hydraulics Division, ASCE, 102, 919, 10.1061/JYCEAJ.0004589 Yang, 1979, Theory of minimum rate of energy dissipation, Journal of the Hydraulics Division, 105, 769, 10.1061/JYCEAJ.0005235 Yang, 1986, 353 Yang, 1994, Variational theories in hydrodynamics and hydraulics, Journal of the Hydraulic Engineering, 120, 737, 10.1061/(ASCE)0733-9429(1994)120:6(737)