MOTION ENERGY DISSIPATION IN TRAFFIC FLOW ON A CURVED ROAD

2013 ◽  
Vol 24 (07) ◽  
pp. 1350046 ◽  
Author(s):  
WEN-XING ZHU
Keyword(s):  
Friction Coefficient ◽  
Energy Dissipation ◽  
Traffic Flow ◽  
Dissipation Rate ◽  
Energy Dissipation Rate ◽  
Motion Energy ◽  
Dissipation Model ◽  
Curved Road ◽  
Real Traffic ◽  
Good Agreement

We investigate the energy loss of vehicles running on a curved road. The energy dissipation model for traffic flow is derived. Simulations are carried out to examine the energy dissipation in traffic flow on a curved road with friction coefficient and radii of curvature. Results analysis show that the total energy dissipation increases with an increase in the friction coefficient and radii of curvature. Moreover, the energy dissipation rate varies with the density and road length, which is in good agreement with the real traffic situations.

The evolution of turbulent bursts: the b—ε model

1994 ◽  
Vol 5 (4) ◽  
pp. 537-557 ◽  
Author(s):  
M. Bertsch ◽  
R. Dal Passo ◽  
R. Kersner
Keyword(s):  
Partial Differential Equations ◽  
Energy Dissipation ◽  
Energy Density ◽  
Differential Equations ◽  
Dissipation Rate ◽  
Turbulent Energy ◽  
Energy Dissipation Rate ◽  
Self Similar ◽  
Similar Solutions ◽  
Semi Empirical

We study the semi-empirical b—ε model which describes the time evolution of turbulent spots in the case of equal diffusivity of the turbulent energy density b and the energy dissipation rate ε. We prove that the system of two partial differential equations possesses a solution, and that after some time this solution exhibits self-similar behaviour, provided that the system has self-similar solutions. The existence of such self-similar solutions depends upon the value of a parameter of the model.

scholarly journals Using Energy Dissipation Rate to Obtain Active Whitecap Fraction

2016 ◽  
Vol 46 (2) ◽  
pp. 461-481 ◽  
Author(s):  
Magdalena D. Anguelova ◽  
Paul A. Hwang
Keyword(s):  
Energy Dissipation ◽  
Dissipation Rate ◽  
Dynamic Properties ◽  
Length Distribution ◽  
Energy Dissipation Rate ◽  
Strength Parameter ◽  
Minimal Speed ◽  
Novel Approach ◽  
Decay Dynamic ◽  
Crest Length

AbstractActive and total whitecap fractions quantify the spatial extent of oceanic whitecaps in different lifetime stages. Total whitecap fraction W includes both the dynamic foam patches of the initial breaking and the static foam patches during whitecap decay. Dynamic air–sea processes in the upper ocean are best parameterized in terms of active whitecap fraction WA associated with actively breaking crests. The conventional intensity threshold approach used to extract WA from photographs is subjective, which contributes to the wide spread of WA data. A novel approach of obtaining WA from energy dissipation rate ε is proposed. An expression for WA is derived in terms of energy dissipation rate WA(ε) on the basis of the Phillips concept of breaking crest length distribution. This approach allows more objective determination of WA using the breaker kinematic and dynamic properties yet avoids the use of measuring breaking crest distribution from photographs. The feasibility of using WA(ε) is demonstrated with one possible implementation using buoy data and a parametric model for the energy dissipation rate. Results from WA(ε) are compared to WA from photographic data. Sensitivity analysis quantifies variations in WA estimates caused by different parameter choices in the WA(ε) expression. The breaking strength parameter b has the greatest influence on the WA(ε) estimates, followed by the breaker minimal speed and bubble persistence time. The merits and caveats of the novel approach, possible improvements, and implications for using the WA(ε) expression to extract WA from satellite-based radiometric measurements of W are discussed.

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