路面坡度对水膜厚度的影响分析

doi:10.3969/j.issn.1674-0696.2013.03.08

重庆交通大学学报（自然科学版） ›› 2013, Vol. 32 ›› Issue (3): 404-406.DOI: 10.3969/j.issn.1674-0696.2013.03.08

路面坡度对水膜厚度的影响分析

张理，张卓

重庆交通大学土木建筑学院，重庆400074

收稿日期:2012-05-16 修回日期:2012-09-18 出版日期:2013-06-15 发布日期:2015-03-12
作者简介:张理(1987—)，男，湖北云梦人，硕士研究生，主要从事道路安全方面的研究E-mail:zl13608@163.com

Impact of RoadSlopeonWaterFilmThickness

ZhangLi，ZhangZhuo

School of Civil Engineering＆Architecture，ChongqingJiaotongUniversity，Chongqing400074，China

Received:2012-05-16 Revised:2012-09-18 Online:2013-06-15 Published:2015-03-12

摘要/Abstract

摘要： 利用满宁公式，推导出水膜厚度的计算公式通过水膜厚度公式，分别求出水膜厚度关于横坡和纵坡的偏导函数根据所得偏导函数进行分析，得出结论:关于横坡坡度的偏导函数小于0恒成立，即水膜厚度随着横坡坡度的增大而减小;关于纵坡坡度的偏导函数大于0恒成立，即水膜厚度随着纵坡坡度的增大而增大;横坡与纵坡坡度的偏导函数绝对值之间的比值大于22，即横坡坡度对水膜厚度的影响要大于纵坡坡度

关键词: 水膜厚度, 横坡坡度, 纵坡坡度, 偏导函数

Abstract: UsingtheManningformula，thewater filmthicknessformulais deduced. Bymeans of thewater filmthicknessformula，thepartial derivativefunctionof thewater filmthickness oncross slopeandlongitudinal slopewas obtained. Accordingtotheanalysisonthepartial derivativefunctionobtained，it isdrawntheconclusionthat thepartial derivativefunctiononcrossslopeislessthan0constantlyandit meansthat thewater filmthicknessdecreaseswiththe increaseof crossslopegradient; thepartial derivativefunctiononthelongitudinal gradient isgreater than0constantly， andit meansthat thewaterfilmthicknessincreaseswiththeincreaseof longitudinal gradient; theratiobetweentheabsolute valueof thepartial derivativesof thecrossslopegradient andtheabsolutevalueof thepartial derivativesof longitudinal gradient ismorethan22，andit indicatesthat thecrossslopegradient hasgreater influenceonthewater filmthicknessthan thelongitudinal gradient does.

Key words: waterfilmthickness, crossslope, longitudinalslope, partialderivativefunction

中图分类号:

U416.2

张理，张卓. 路面坡度对水膜厚度的影响分析[J]. 重庆交通大学学报（自然科学版）, 2013, 32(3): 404-406.

ZhangLi，ZhangZhuo. Impact of RoadSlopeonWaterFilmThickness[J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(3): 404-406.

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路面坡度对水膜厚度的影响分析

Impact of RoadSlopeonWaterFilmThickness

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