The Navier–Stokes equations (/nævˈjeɪ stoʊks/ nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances...

of the Navier–Stokes equations. In this case the Navier–Stokes equations reduce to the vorticity-transport equations. The Navier–Stokes equations are nonlinear...

the equations, such as Navier–Stokes existence and smoothness, is one of the important unsolved problems in mathematics. The Navier–Stokes equations are...

Reynolds-averaged Navier–Stokes equations (RANS equations) are time-averaged equations of motion for fluid flow. The idea behind the equations is Reynolds decomposition...

mechanics, non-dimensionalization of the Navier–Stokes equations is the conversion of the Navier–Stokes equation to a nondimensional form. This technique...

Knudsen numbers. The Navier–Stokes equations (named after Claude-Louis Navier and George Gabriel Stokes) are differential equations that describe the force...

mechanics. The Navier–Stokes equations refer eponymously to him, with George Gabriel Stokes. After the death of his father in 1793, Navier's mother left...

Hagen–Poiseuille flow. The equations governing the Hagen–Poiseuille flow can be derived directly from the Navier–Stokes momentum equations in 3D cylindrical coordinates...

which has an exact closed form solution of the incompressible Navier–Stokes equations in Cartesian coordinates. It is named after the British physicist...

Reynolds-averaged Navier–Stokes equations. And if F {\displaystyle F} is a density-weighted ensemble-average one obtains the Favre-averaged Navier-Stokes equations. As...

pressure-stabilizing Petrov–Galerkin formulation for incompressible Navier–Stokes equations can be used for finite element computations of high Reynolds number...

l^{2}\sigma } . The Weber number appears in the incompressible Navier-Stokes equations through a free surface boundary condition. For a fluid of constant...

last equation can be derived by solving the three-dimensional Navier–Stokes equations for the equilibrium situation where u = v = ∂ p ∂ x = ∂ p ∂ y =...

well through the use of the Navier–Stokes equations. Direct numerical simulation (DNS), based on the Navier–Stokes equations, makes it possible to simulate...

polymers generally. The equations of motion for Stokes flow, called the Stokes equations, are a linearization of the Navier–Stokes equations, and thus can be...

derived by George Gabriel Stokes in 1851 by solving the Stokes flow limit for small Reynolds numbers of the Navier–Stokes equations. The force of viscosity...

root-mean-square (RMS) velocity fluctuations. In the Reynolds-averaged Navier Stokes equations, the turbulence kinetic energy can be calculated based on the closure...

hydrodynamic stability. These include Reynolds number, the Euler equations, and the Navier–Stokes equations. When studying flow stability it is useful to understand...

problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills...

Gabriel Stokes published another important set of equations, today known as the Navier-Stokes equations. Claude-Louis Navier developed the equations first...

solving incompressible Navier–Stokes equations. The incompressible Navier-Stokes equation (differential form of momentum equation) may be written as ∂ u...

general) Navier–Stokes equations may be considerably simplified by considering only the leading-order components. For example, the Stokes flow equations. Also...

Lucasian Professor. As a physicist, Stokes made seminal contributions to fluid mechanics, including the Navier–Stokes equations; and to physical optics, with...

The simulation of turbulent flows by numerically solving the Navier–Stokes equations requires resolving a very wide range of time and length scales...

dynamics (CFD) methods for fluid simulation. Instead of solving the Navier–Stokes equations directly, a fluid density on a lattice is simulated with streaming...

described by partial differential equations. For example, the Navier–Stokes equations are a set of partial differential equations derived from the conservation...

to the Navier-Stokes equations. Pacific J. Math. 66 (1976), no. 2, 535–552. Scheffer, Vladimir. Hausdorff measure and the Navier-Stokes equations. Comm...

dynamics to solve the Navier-Stokes equations. PISO is a pressure-velocity calculation procedure for the Navier-Stokes equations developed originally for...

momentum equation can be derived from the Navier–Stokes equations that describe fluid motion. The x-component of the Navier–Stokes equations – when expressed...

after Sir George Stokes. This is considered one of the simplest unsteady problems that has an exact solution for the Navier–Stokes equations. In turbulent...