水利与建筑工程学报
水利與建築工程學報
수리여건축공정학보
TECHNIQUE OF SEEPAGE CONTROL
2015年
4期
151-154,182
,共5页
六圆弧蛋形断面%共轭水深计算%优化拟合%简化算法
六圓弧蛋形斷麵%共軛水深計算%優化擬閤%簡化算法
륙원호단형단면%공액수심계산%우화의합%간화산법
six-arc egg-shaped cross section%conjugate depth calculation%optimization fitting%simplified algo-rithm
六圆弧蛋形断面共轭水深计算公式分段，且为复杂的超越方程，无法直接获解。通过对该种断面水跃共轭水深函数的进一步整理，获得了用无量纲面积倒数及无量纲静水压力表示的无量纲水跃函数，采用优化拟合方法分别对无量纲面积倒数及无量纲静水压力函数进行拟合替代，获得了可直接完成跃前及跃后断面水深计算的简化计算通式，计算过程简捷，方法直观，在工程适用参数范围内，最大计算误差小于0．8％。
六圓弧蛋形斷麵共軛水深計算公式分段，且為複雜的超越方程，無法直接穫解。通過對該種斷麵水躍共軛水深函數的進一步整理，穫得瞭用無量綱麵積倒數及無量綱靜水壓力錶示的無量綱水躍函數，採用優化擬閤方法分彆對無量綱麵積倒數及無量綱靜水壓力函數進行擬閤替代，穫得瞭可直接完成躍前及躍後斷麵水深計算的簡化計算通式，計算過程簡捷，方法直觀，在工程適用參數範圍內，最大計算誤差小于0．8％。
륙원호단형단면공액수심계산공식분단，차위복잡적초월방정，무법직접획해。통과대해충단면수약공액수심함수적진일보정리，획득료용무량강면적도수급무량강정수압력표시적무량강수약함수，채용우화의합방법분별대무량강면적도수급무량강정수압력함수진행의합체대，획득료가직접완성약전급약후단면수심계산적간화계산통식，계산과정간첩，방법직관，재공정괄용삼수범위내，최대계산오차소우0．8％。
Conjugate water depth formula of six-arc egg-shaped cross section is segmented and transcendental ,it is diffi-cult to calculate directly .Through further calculation of hydraulic jump conjugate depth function of this kind of cross sec-tion ,dimensionless function of hydraulic jump was obtained ,which was represented by the reciprocal of dimensionless area and dimensionless hydrostatic pressure .And then ,an optimization fitting method was adopted to fit the reciprocal of dimensionless area and dimensionless hydrostatic pressure ,through which the simplified calculation formula that could di-rectly calculate the conjugate water depth before and after the hydraulic jump was established .This formula is simple and intuitive with a maximum error less than 0 .8% in its parameter range of engineering applications .
