کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7050699 | 1457251 | 2018 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonlinear water waves in shallow water in the presence of constant vorticity: A Whitham approach
ترجمه فارسی عنوان
امواج آب غیرخطی در آبهای کم عمق در حضور گرد و غبار ثابت: یک رویکرد وثام
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کلمات کلیدی
امواج سطح گرانشی، آب کم عمق، جریانهای عمودی برش، امواج انفرادی و دوره ای، سوراخهای زاویه ای، شکستن زمان،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
جریان سیال و فرایندهای انتقال
چکیده انگلیسی
Two-dimensional nonlinear gravity waves travelling in shallow water on a vertically sheared current of constant vorticity are considered. Using Euler equations, in the shallow water approximation, hyperbolic equations for the surface elevation and the horizontal velocity are derived. Using Riemann invariants of these equations, that are obtained analytically, a closed-form nonlinear evolution equation for the surface elevation is derived. A dispersive term is added to this equation using the exact linear dispersion relation. With this new single first-order partial differential equation, vorticity effects on undular bores are studied. Within the framework of weakly nonlinear waves, a KdV-type equation and a Whitham equation with constant vorticity are derived from this new model and the effect of vorticity on solitary waves and periodic waves is considered. Furthermore, within the framework of the new model and the Whitham equation a study of the effect of vorticity on the breaking time of dispersive waves and hyperbolic waves as well is carried out.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - B/Fluids - Volume 72, NovemberâDecember 2018, Pages 12-22
Journal: European Journal of Mechanics - B/Fluids - Volume 72, NovemberâDecember 2018, Pages 12-22
نویسندگان
Christian Kharif, Malek Abid,