本文旨在提出渠道變量流之線性解析法,利用此法,可應用在矩形渠道下游迴水現象顯著之情況之變量流分析。本文中亦探討三種不同入流量分佈情況下,線性化因子(參考流量)之敏感度分析。最後並比較動力波模式之數值解與本模式之解析解,發現在適當參考流量下,二者結果接近。 In this study, an analytical solution is proposed for simulating unsteady open channel flow with rectangular cross sections, where the significant backWATER effect from the downstream exist. The linearization of the Saint-Venant equation by tht small perturbation i s used to obtain analytical solution.
The sensitivity analysis of reference dicharge is also made to obtain the best solution . The proposed method is compared with a nonlinear dynamic-wave model which is solved by an explicit finite difference method with different cases of inflow and boundary conditions. The result s s how t hat the analytical solution is a good approximation in practic al cases.
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第四屆水利工程研討會論文集=Proceedings of 4th Conference on Hydraulic Engineering,頁153-164