کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4576877 1629983 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Use of the Gaussian hypergeometric function to solve the equation of gradually-varied flow
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات فرآیندهای سطح زمین
پیش نمایش صفحه اول مقاله
Use of the Gaussian hypergeometric function to solve the equation of gradually-varied flow
چکیده انگلیسی

SummaryThe direct-integration method is a conventional method used to analytically solve the equation of gradually-varied flow (GVF) that is a steady non-uniform flow in an open channel with gradually changes in its water surface elevation. The GVF equation is normalized by using the normal depth hn. The varied-flow function (VFF) needed in the direct-integration method has a drawback caused by the imprecise interpolation of the VFF-values. To overcome the drawback, we successfully use the Gaussian hypergeometric function (GHF) to analytically solve the GVF equation without recourse to the VFF in the present paper. The GHF-based solutions can henceforth play the role of the VFF table in the interpolation of the VFF-values. We plot the GHF-based solutions for GVF profiles in the mild (M), critical (C), and steep (S) wide channels under specific boundary conditions, thereby analyzing the effects of the dimensionless critical depth hc/hn and the hydraulic exponent N-value on the profiles.


► We use the Gaussian hypergeometric function to replace the varied-flow function.
► We exactly solve normal-depth-based dimensionless gradually-varied flow profiles.
► Application of solutions is extendible to channel shapes other than wide rectangle.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Hydrology - Volumes 456–457, 16 August 2012, Pages 139–145
نویسندگان
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