Fractional Navier–Stokes Equation from Fractional Velocity Arguments and Its Implications in Fluid Flows and Microfilaments

2019 ◽  
Vol 20 (3-4) ◽  
pp. 449-459 ◽  
Author(s):  
Rami Ahmad El-Nabulsi
Keyword(s):  
Fluid Flow ◽  
Fluid Mechanics ◽  
Stokes Equation ◽  
Fluid Flows ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Poiseuille Flows

AbstractA new fractional Navier–Stokes equation is constructed based on the notion of fractional velocity recently introduced in the literature. Its implications in fluid mechanics were discussed. In particular, the Couette and the Poiseuille flows and some insights of fluid flow in microfilaments were addressed accordingly.

Transmission Line Modeling of Inclined Compressible Fluid Flows

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Ala E. Omrani ◽  
Matthew A. Franchek ◽  
Karolos Grigoriadis
Keyword(s):  
Fluid Flow ◽  
Transmission Line ◽  
Compressible Fluid ◽  
Transfer Functions ◽  
Fluid Flows ◽  
Navier Stokes ◽  
State Behavior ◽  
Navier Stokes Equation ◽  
Exact Function ◽  
Two Factors

Compressible fluid flow modeling for inclined lines is a challenging phenomenon due to the nonlinearity of the governing equations and the spatial–temporal dependency of the fluid density. In this paper, the transmission line analytical model is applied to the determination of inclined compressible fluid flow's dynamics. To establish this model, an exact transcendent solution is developed by solving the Navier–Stokes equation in the Laplace domain. A transfer function approximation, allowing the fluid flow transients determination, is recovered from the exact solution using residual calculations. The error resulting from the polynomial fraction approximation of the transfer functions is circumvented through frequency response corrections for the approximation to meet the exact function steady-state behavior. The effect of gravity and fluid compressibility on the fluid flow dynamics as well as the interplay between those two factors are illustrated through the pressure and flow rate's frequency and time responses.

scholarly journals PENURUNAN PERSAMAAN DARCY DARI PERSAMAAN NAVIER-STOKES UNTUK RESERVOIR ALIRAN LINIER DAN RADIAL

PETRO ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 65
Author(s):  
Listiana Satiawati ◽  
Prayang Sunni Yulia
Keyword(s):  
Fluid Flow ◽  
Stokes Equation ◽  
Flow Rate ◽  
Field Data ◽  
Radial Flow ◽  
Petroleum Engineering ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Darcy Equation ◽  
Fortran Language

<p><em>Calculation of hydrocarbon flow in the form of oil or gas in Petroleum Engineering is used the Darcy equation. Deriving the Navier Stokes equation produces a general equation that cannot be used for special conditions, for example linear or radial flow because the formulation is different. In this paper, the Darcy equation obtained through experimental evidence is derived from the Navier Stokes equation with several assumptions and simplifications . The calculation in this paper uses a numerical solution, which uses Fortran language, as one approach. Then by using field data, the Darcy equation is used in calculating the flow rate and the velocity of linear fluid in the reservoir. And also the calculation of the pressure from the well to the outermost point of the reservoir with radial fluid flow, so that the pressure gradient data can be obtained from the well to the outermost point of the reservoir.</em><em></em></p>

Wavelet-distributed approximating functional method for solving the Navier-Stokes equation

1998 ◽  
Vol 115 (1) ◽  
pp. 18-24 ◽  
Author(s):  
G.W. Wei ◽  
D.S. Zhang ◽  
S.C. Althorpe ◽  
D.J. Kouri ◽  
D.K. Hoffman
Keyword(s):  
Stokes Equation ◽  
Functional Method ◽  
Navier Stokes ◽  
Navier Stokes Equation

scholarly journals Generalized Navier–Stokes Equations and Dynamics of Plane Molecular Media

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 288
Author(s):  
Alexei Kushner ◽  
Valentin Lychagin
Keyword(s):  
Carbon Dioxide ◽  
Internal Structure ◽  
Stokes Equation ◽  
Hydrogen Cyanide ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations

The first analysis of media with internal structure were done by the Cosserat brothers. Birkhoff noted that the classical Navier–Stokes equation does not fully describe the motion of water. In this article, we propose an approach to the dynamics of media formed by chiral, planar and rigid molecules and propose some kind of Navier–Stokes equations for their description. Examples of such media are water, ozone, carbon dioxide and hydrogen cyanide.

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