圆形断面水跃共轭水深的迭代计算方法
원형단면수약공액수심적질대계산방법
Iterative method of conjugate depth for channels with cross-section
  • 万方数据
    吉林水利 길림수리
    JI LIN WATER RESOURCES
    2013年 1期 7-9 ,共3页

    郭振家%刘伟哲%马玉%马子普

    곽진가%류위철%마옥%마자보

    圆形断面%水跃%共轭水深%查图法%迭代计算方法 圓形斷麵%水躍%共軛水深%查圖法%迭代計算方法
    원형단면%수약%공액수심%사도법%질대계산방법
    circular cross-section%hydraulic jump%conjugate depth%the graphic method%the iterative method
    基于圆形过水断面的几何特点与棱柱体水平明渠的水跃方程,推导出圆形断面的水跃方程.通过数学变换,得到了圆形断面水跃共轭水深计算公式.针对具体算例,采用图解法与迭代计算相结合的办法对圆形断面的共轭水深进行了求解.算例表明,该计算方法简单、结果精确,便于推广应用.
    기우원형과수단면적궤하특점여릉주체수평명거적수약방정,추도출원형단면적수약방정.통과수학변환,득도료원형단면수약공액수심계산공식.침대구체산례,채용도해법여질대계산상결합적판법대원형단면적공액수심진행료구해.산례표명,해계산방법간단、결과정학,편우추엄응용.
    Based on the geometric features of circular cross-section and the hydraulic jump equation of general prismatic channels, the hydraulic jump equation of channels with circular cross-section was deduced. Then through appropriate mathematical transformation, the calculation formula of conjugate depth for circular chan-nels was developed, and the graphic method and the iterative method were used together to obtain the conju-gate depth. The example showed that the method was simple, reliable, accurate and convenient in practical en-gineering application.
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