Meandering water Rivulets
Project/Area Number  06650573 
Research Category 
GrantinAid for Scientific Research (C).

Research Field 
水工水理学

Research Institution  Kanazawa Institute of Technology 
Principal Investigator 
MIZUMURA Kazumasa Kanazawa Institute of Technology Dept. of Civil Engineering Professor, 工学部, 教授 (70139749)

Project Fiscal Year 
1994 – 1995

Project Status 
Completed(Fiscal Year 1995)

Budget Amount *help 
¥900,000 (Direct Cost : ¥900,000)
Fiscal Year 1995 : ¥300,000 (Direct Cost : ¥300,000)
Fiscal Year 1994 : ¥600,000 (Direct Cost : ¥600,000)

Keywords  Meandering Water Rivnlets / Lrear Analysis / Surface Tension Force / Nonlinean Analysis / Som Venant Equations / Wavelength of Meandor / Power series / RungeKutta method / 水流蛇行 / 線形解析 / 表面張力 / 非線形解析 / ワンブナン方程式 / 蛇行長 / 級数展開 / ルンゲ・グッタ法 / サンブナン方程式 / ルンゲ・クッタ法 / ルンゲンクッタ法 
Research Abstract 
Water rivulet on an inclined smooth plate forms stable meander for given flow conditions. The bend theory to describe the meandering water rivulet includes the effect of the surfacetension force. The governing equations are the St. Venant equations of shallow water flow along the flow direction, where the curvilinear coordinate system is employed. The resultant bend equation is nonlinear. The linear stability analysis of this bend equation for infinitesimally small disturbance was done by Mizumura (1993) neglecting small terms (nonlinear terms). But the stable meander form of stream has finite amplitude and shows the derivation from Cartesian sinusoidal pattern. The meandering forms of water rivulets are very similar to those of meandering rivers (Parker et al. 1982 ; 1983). The geometrical forms of the meandering rivers are expressed by sinegenerated curves. But the deviation of meander form from the first order sinegenerated curve gives periodic property. This deviation is explained by fattening and skewing from the first order sinegenerated curve. The approximate solution for the nonlinear analysis of the bend equation including the surfacetension force shows the deviation very well using the third order sinegenerated curve. The computational result of the meander form of the water rivulet is in good agreement with the observations.

Report
(4results)
Research Output
(3results)