scholarly journals Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits

2020 ◽  
Vol 6 (2) ◽  
pp. 30
Author(s):  
Hubert Michael Quinn
Keyword(s):  
Fluid Dynamics ◽  
Fluid Flow ◽  
Unique Solution ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Navier Stokes Equation

scholarly journals Einstein Equation for Nondual Field Matter Modifies Naiver-Stokes Dynamics

2018 ◽  
Vol 47 ◽  
pp. 1860090
Author(s):  
I. E. Bulyzhenkov
Keyword(s):  
Fluid Dynamics ◽  
Einstein Equation ◽  
Stokes Equation ◽  
Force Feedback ◽  
Gravitational Mass ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Energy Flows ◽  
Local Stresses ◽  
Inertial Currents

Cartesian extended matter has its own nondual analog of the 1915 Einstein Equation for pure field physics in nonempty moving space. This tensor balance of energy densities and local stresses leads to Maxwell-type equalities for inertial currents and vector geodesic equations for relativistic accelerations of the Ricci scalar for inertial and gravitational mass densities. Field inertia of slow energy flows reestablishes the living force feedback which is missed in Newton-Euler fluid dynamics and in the Navier-Stokes equation.

scholarly journals Stochastic Approaches to Deterministic Fluid Dynamics: A Selective Review

Water ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 864 ◽  
Author(s):  
Ana Bela Cruzeiro
Keyword(s):  
Fluid Dynamics ◽  
Variational Principle ◽  
Stokes Equation ◽  
Stokes Equations ◽  
Equations Of Motion ◽  
Time Derivative ◽  
Probabilistic Methods ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Navier Stokes Equations

We present a stochastic Lagrangian view of fluid dynamics. The velocity solving the deterministic Navier–Stokes equation is regarded as a mean time derivative taken over stochastic Lagrangian paths and the equations of motion are critical points of an associated stochastic action functional involving the kinetic energy computed over random paths. Thus the deterministic Navier–Stokes equation is obtained via a variational principle. The pressure can be regarded as a Lagrange multiplier. The approach is based on Itô’s stochastic calculus. Different related probabilistic methods to study the Navier–Stokes equation are discussed. We also consider Navier–Stokes equations perturbed by random terms, which we derive by means of a variational principle.

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.

Note on the fast decay property of steady Navier–Stokes flows in the whole space

Analysis ◽  
2018 ◽  
Vol 38 (2) ◽  
pp. 81-89
Author(s):  
Tomoyuki Nakatsuka
Keyword(s):  
Asymptotic Behavior ◽  
Fundamental Solution ◽  
Unique Solution ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Asymptotic Behavior Of Solutions ◽  
Fast Decay ◽  
Rapid Decay ◽  
Navier Stokes Equation ◽  
Whole Space

Abstract We investigate the pointwise asymptotic behavior of solutions to the stationary Navier–Stokes equation in {\mathbb{R}^{n}} ( {n\geq 3} ). We show the existence of a unique solution {\{u,p\}} such that {|\nabla^{j}u(x)|=O(|x|^{1-n-j})} and {|\nabla^{k}p(x)|=O(|x|^{-n-k})} ( {j,k=0,1,\ldots} ) as {|x|\rightarrow\infty} , assuming the smallness of the external force and the rapid decay of its derivatives. The solution {\{u,p\}} decays more rapidly than the Stokes fundamental solution.

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>

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