TY - JOUR
T1 - Modelling fundamental diagrams according to different water film depths from the perspective of the dynamic hydraulic pressure
AU - Liu, Mingwei
AU - Chiaki, Matunaga
AU - Oeda, Yoshinao
AU - Sumi, Tomonori
N1 - Funding Information:
M.W. Liu wishes to take this opportunity to express her sincerest respect and heartfelt thanks to her instructors. This research was supported in part by the Pujiang Talents Plan Foundation under Grant No. 15PJC062 and Shanghai Social Science Planning Foundation No. 2019BGL011.
Publisher Copyright:
© 2020, The Author(s).
PY - 2020/12/1
Y1 - 2020/12/1
N2 - In this paper, we propose enhanced fundamental diagrams based on different water film depths by considering the effects of hydroplaning using a physical method. Various factors are calculated to describe the total safe distance headway of main vehicle components. These factors include the driver reaction times, reaction distances, vehicle braking times, and vehicle braking distances corresponding to different water film depths. An excellent match is found between the computed braking distance, the braking time calculated using the proposed numerical model, and the results published in other papers. These calculations are performed to estimate the distance headway and quantitatively analyse the relationships between the speed, density, and water film depth. By using three road-specific parameters estimated by our proposed model, namely, the free-flow speed, jam density, and capacity flow, a link transmission model is developed to analyse the dynamic impact of the water film depth.
AB - In this paper, we propose enhanced fundamental diagrams based on different water film depths by considering the effects of hydroplaning using a physical method. Various factors are calculated to describe the total safe distance headway of main vehicle components. These factors include the driver reaction times, reaction distances, vehicle braking times, and vehicle braking distances corresponding to different water film depths. An excellent match is found between the computed braking distance, the braking time calculated using the proposed numerical model, and the results published in other papers. These calculations are performed to estimate the distance headway and quantitatively analyse the relationships between the speed, density, and water film depth. By using three road-specific parameters estimated by our proposed model, namely, the free-flow speed, jam density, and capacity flow, a link transmission model is developed to analyse the dynamic impact of the water film depth.
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U2 - 10.1038/s41598-020-63381-1
DO - 10.1038/s41598-020-63381-1
M3 - Article
C2 - 32300188
AN - SCOPUS:85083478777
SN - 2045-2322
VL - 10
JO - Scientific reports
JF - Scientific reports
IS - 1
M1 - 6496
ER -