Velocity Field due to a Vertical Deformation of the Bottom of a Laminar Free-Surface Fluid Flow
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作者:
Gonzalez, Rodrigo
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Univ Chile, Fac Phys & Math Sci, Doctoral Program Engn Sci Ment Fluid Dynam, Santiago 8370448, ChileUniv Chile, Fac Phys & Math Sci, Doctoral Program Engn Sci Ment Fluid Dynam, Santiago 8370448, Chile
Gonzalez, Rodrigo
[1
]
Tamburrino, Aldo
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Univ Chile, Dept Civil Engn, Santiago 8370448, Chile
Univ Chile, Fac Phys & Math Sci, Adv Min Technol Ctr, Santiago 8370448, ChileUniv Chile, Fac Phys & Math Sci, Doctoral Program Engn Sci Ment Fluid Dynam, Santiago 8370448, Chile
Tamburrino, Aldo
[2
,3
]
机构:
[1] Univ Chile, Fac Phys & Math Sci, Doctoral Program Engn Sci Ment Fluid Dynam, Santiago 8370448, Chile
[2] Univ Chile, Dept Civil Engn, Santiago 8370448, Chile
[3] Univ Chile, Fac Phys & Math Sci, Adv Min Technol Ctr, Santiago 8370448, Chile
This article investigates the velocity field of a free-surface flow subjected to harmonic deformation of the channel bottom, progressing asymptotically from a flat initial state to a maximum amplitude. Assuming a uniform main flow with the primary velocity component transverse to the bed undulation, analytical solutions are obtained for the three velocity components and free surface distortion using the method of perturbations. The perturbation components of the velocity field, streamlines, and surface deformation depend on a dimensionless parameter that reflects the fluid inertia induced by bed deformation relative to viscous resistance. When viscous effects dominate, a monotonic decay of the perturbations from the bed to the free surface is observed. In contrast, when inertia dominates, the perturbations can exhibit an oscillatory behavior and introduce circulation cells in the plane normal to the main flow. The interplay between inertia and viscosity reveals scenarios where surface and bed deformations are either in or out of phase, influencing vertical velocity components. Figures illustrate these phenomena, providing insights into the complex dynamics of free-surface flows with harmonic bed deformation in the direction normal to the main flow, and amplitude growing with time. The results are limited to small deformations of the channel bottom, as imposed by the linearization of the momentum equations. Even so, to the best of the authors' knowledge, this problem has not been addressed before.
机构:
Univ Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Port Said Univ, Fac Engn, Mech Power Dept, Port Fuad, EgyptUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Yosry, Ahmed Gharib
Alvarez, Eduardo Alvarez
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Univ Oviedo, Hydraul R&D Grp, EP Mieres, Mieres, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Alvarez, Eduardo Alvarez
Valdes, Rodolfo Espina
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Univ Oviedo, Hydraul R&D Grp, EP Mieres, Mieres, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Valdes, Rodolfo Espina
Pandal, Adrian
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Univ Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Pandal, Adrian
Marigorta, Eduardo Blanco
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Univ Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Han, Peidong
Liu, Qixin
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Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Liu, Qixin
Zhang, Kai
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Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Zhang, Kai
Sun, Zhongguo
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Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Sun, Zhongguo
Xi, Guang
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机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
机构:
Univ Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Port Said Univ, Fac Engn, Mech Power Dept, Port Fuad, EgyptUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Yosry, Ahmed Gharib
Alvarez, Eduardo Alvarez
论文数: 0引用数: 0
h-index: 0
机构:
Univ Oviedo, Hydraul R&D Grp, EP Mieres, Mieres, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Alvarez, Eduardo Alvarez
Valdes, Rodolfo Espina
论文数: 0引用数: 0
h-index: 0
机构:
Univ Oviedo, Hydraul R&D Grp, EP Mieres, Mieres, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Valdes, Rodolfo Espina
Pandal, Adrian
论文数: 0引用数: 0
h-index: 0
机构:
Univ Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
Pandal, Adrian
Marigorta, Eduardo Blanco
论文数: 0引用数: 0
h-index: 0
机构:
Univ Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, SpainUniv Oviedo, GIFD Grp, Energy Dept, C Wifredo Ricart S-N, Gijon, Spain
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Han, Peidong
Liu, Qixin
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Liu, Qixin
Zhang, Kai
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Zhang, Kai
Sun, Zhongguo
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China
Sun, Zhongguo
Xi, Guang
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China