کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4992277 1457258 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Explicit solutions for a long-wave model with constant vorticity
ترجمه فارسی عنوان
راه حل های صریح برای یک مدل طول موج با بافت ثابت
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
چکیده انگلیسی
Explicit parametric solutions are found for a nonlinear long-wave model describing steady surface waves propagating on an inviscid fluid of finite depth in the presence of a linear shear current. The exact solutions, along with an explicit parametric form of the pressure and streamfunction give a complete description of the shape of the free surface and the flow in the bulk of the fluid. The explicit solutions are compared to numerical approximations previously given in Ali and Kalisch (2013), and to numerical approximations of solutions of the full Euler equations in the same situation Teles da Silva and Peregrine (1988). These comparisons show that the long-wave model yields a fairly accurate approximation of the surface profile as given by the Euler equations up to moderate waveheights. The fluid pressure and the flow underneath the surface are also investigated, and it is found that the long-wave model admits critical layer recirculating flow and non-monotone pressure profiles similar to the flow features of the solutions of the full Euler equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - B/Fluids - Volume 65, September–October 2017, Pages 247-256
نویسندگان
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