
@article{ref1,
title="Mathematical model for the duration of runoff formation determined from the road  surface",
journal="Heliyon",
year="2020",
author="Havryshchuk, Vladyslav and Kaskiv, Volodymyr",
volume="6",
number="12",
pages="e05687-e05687",
abstract="INTRODUCTION: Many scientists were engaged in the problems of studying the runoff  formation conditions from the water-intake basins area and studying the operation of  rainwater drainage systems and its calculations. Among them: Alekseev M. I., Belov  М. М., Dykarevskyi V. S., Kurganov А. М., Zhuk V. M., Tkachuk S. G., Salchuk V. L.,  Tkatchuk O. A., Shevchuk O. V., Dziopak J., James W., Horton R., Huber W., Mays L. W., Rossman L. A., Weitman D. [1-9] and others. The drainage systems calculation is  implemented based on empirical or semi-empirical studies for pipes or open water  bodies. Unlike the generally accepted conditions for the urban city areas drainage  elements calculation, highways have the features of runoff and the formation of  maximum runoff. Artificial surfaces of surface runoff are characterized by low water  absorption, significant longitudinal and transverse slopes. According to State  Building Norms DBN V.2.3-4:2015 &quot;Highways. Part I. Design. Part II. Construction&quot;,  the largest longitudinal slope for a category I road is 40 %, the carriageway  transverse slope on straight sections is 25 %. In the world of engineering practice  there is no single generally accepted approach to the construction of hydrographs of  rainwater inflow to surface drainage structures. Therefore, the question remains  open in terms of establishing the estimated rain duration and the surface runoff  volume from the roads surface in particular. GOAL AND PROBLEM: To explore and  establish the main factors and their parameters for the surface runoff formation  from road surfaces. RESEARCH METHODS: In engineering practice, forecasting the  estimated rain duration is defined as the time from its beginning to the time of  collection by the drainage system. This research is based on the prediction method  and analysis of the factors, which influence the effluents movement on the coating  surface of the linear in the plan water-intake basins. Conducting research with the  forecasted natural meteorological phenomenon and at the minimum estimated rain  intensity values according to climatic conditions of Ukraine. <br><br>RESULTS: The analysis  of known methods for duration of surface runoff formation determining performed. For  its determination, it is suggested to take into account the surface wetting duration  and the influence of the viscous component of the friction force between the runoff  layers. An analytical dependence for the surface runoff formation duration  determining for highways with asphalt concrete pavement and variable longitudinal  slope in the range from 0‰ to 30‰ is obtained. The influence of wastewater  viscoelastic properties is determined. The influence of the calculated precipitation  intensity on the surface runoff formation duration for linear water-intake basins is  determined. <br><br>CONCLUSIONS: A mathematical model for determining the surface runoff  formation duration for linear water-intake basin, namely highways, taking into  account the estimated highway slope, the width of the carriageway, the estimated  rainfall. A comparative analysis with existing methods is performed.<p /> <p>Language: en</p>",
language="en",
issn="2405-8440",
doi="10.1016/j.heliyon.2020.e05687",
url="http://dx.doi.org/10.1016/j.heliyon.2020.e05687"
}