SIMULASI ARUS LALU LINTAS DENGAN MENGGUNAKAN KECEPATAN MODEL KERNER KONHÄUSER

2016 ◽  
Vol 5 (2) ◽  
Author(s):  
Yessy Yusnita
Keyword(s):  
Finite Difference ◽  
Flow Velocity ◽  
Traffic Flow ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Real Situation ◽  
Navier Stokes Equation ◽  
Conservation Equations ◽  
The Real ◽  
Road Section

In the real situation, the vehicle flow velocity on a road are not always in an equilibrium situation. The Kerner Konhäuser model illustrate that the vehicle flow velocity is an application of the Navier Stokes equation. The model is solved numerically by using the finite difference approach to calculate the flow velocity. The result will be used in solve the conservation equations in order to the density of traffic flow. The Simulation is carried on a single-lane road section. The results show that the vehicle flow velocity will increase if the density of the traffic flow decreases and the vehicle flow velocity will decrease if the density of traffic flow increases.

A novel design for microfluidic chamber based on reverse flow optimization

2017 ◽  
Vol 34 (8) ◽  
pp. 2723-2730
Author(s):  
Xueye Chen ◽  
Tiechuan Li
Keyword(s):  
Flow Velocity ◽  
Stokes Equation ◽  
Design Variable ◽  
Reverse Flow ◽  
Microfluidic System ◽  
Navier Stokes ◽  
Microfluidic Channels ◽  
Navier Stokes Equation ◽  
Content Type ◽  
Bifurcation Angle

Purpose This paper aims presents topology optimization of microfluidic channels with reverse flow. Design/methodology/approach A circular chamber with an inlet and an outlet are chosen as an initial design domain. The energy dissipation is chosen as an objective function. The incompressible Navier–Stokes equation is applied for simulating the fluidic motion in channels. An artificial friction force which is proportional to the flow velocity is substituted into the Navier–Stokes equation for controlling the design variable. Findings The effect of a bifurcation angle between the inlet and the outlet on a topological structure is analyzed. The flow velocity, pressure and design variable for every bifurcation angle are obtained. Originality/value This work is instructive to the design of a microfluidic system.

scholarly journals Stochastic approach to the Navier-Stokes equation

2021 ◽  
Author(s):  
Takuya Yabu
Keyword(s):  
Diffusion Equation ◽  
Flow Velocity ◽  
Stokes Equation ◽  
Fluid Pressure ◽  
Planck Equation ◽  
Stochastic Approach ◽  
Molar Concentration ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Ito's Lemma

Take a stochastic approach to the Navier-Stokes equation. The pressure and flow velocity are used as probabilities, the xyz coordinates are replaced with molar concentrations, and the Navier-Stokes equation is transformed into the Fokker-Planck equation using Ito's lemma(formula). This made it possible to obtain the probability of turbulence from the Navier-Stokes equation. The molar concentration in the micro space can be obtained by separately solving the diffusion equation. Using these results, the probability of turbulence and the quantities such as fluid pressure and flow velocity can be analytically obtained.

scholarly journals A Conjecture on the Solution Existence of the Navier-Stokes Equation

2020 ◽  
Author(s):  
Bohua Sun
Keyword(s):  
Flow Velocity ◽  
Stokes Equation ◽  
Velocity Gradient ◽  
Existence Condition ◽  
Navier Stokes ◽  
Solution Existence ◽  
Navier Stokes Equation ◽  
The Solution Existence

For the solution existence condition of the Navier-Stokes equation, we propose a conjecture as follows: "\emph{The Navier-Stokes equation has a solution if and only if the determinant of flow velocity gradient is not zero, namely $\det (\bm \nabla \bm v)\neq 0$.}"

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