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The proportionality factor is the dynamic viscosity of the fluid, often simply referred to as the viscosity. It is denoted by the Greek letter mu ( μ ). The dynamic viscosity has the dimensions ( m a s s / l e n g t h ) / t i m e {\displaystyle \mathrm {(mass/length)/time} } , therefore resulting in the SI units and the derived units :
is the frictional force – known as Stokes' drag – acting on the interface between the fluid and the particle (newtons, kg m s −2); μ (some authors use the symbol η) is the dynamic viscosity (Pascal-seconds, kg m −1 s −1); R is the radius of the spherical object (meters);
The density is usually on the order of 1000 kg/m^3, i.e. that of water. Consequently, if a liquid has dynamic viscosity of n centiPoise, and its density is not too different from that of water, then its kinematic viscosity is around n centiStokes. For gas, the dynamic viscosity is usually in the range of 10 to 20 microPascal-seconds, or 0.01 to ...
≡ 13 595.1 kg/m 3 × 1 ft × g 0: ≈ 4.063 666 × 10 4 Pa [33] foot of water (39.2 °F) ftH 2 O ≈ 999.972 kg/m 3 × 1 ft × g 0: ≈ 2.988 98 × 10 3 Pa [33] inch of mercury (conventional) inHg ≡ 13 595.1 kg/m 3 × 1 in × g 0: ≈ 3.386 389 × 10 3 Pa [33] inch of water (39.2 °F) inH 2 O ≈ 999.972 kg/m 3 × 1 in × g 0: ≈ 249.082 ...
In order to increase the calculation speed for viscosity calculations based on CS theory, which is important in e.g. compositional reservoir simulations, while keeping the accuracy of the CS method, Pedersen et al. (1984, 1987, 1989) [17] [18] [2] proposed a CS method that uses a simple (or conventional) CS formula when calculating the reduced ...
Poiseuille equation · Pascal's law; Viscosity ... kg m −3 s −1 [M] [L] ... List of equations in nuclear and particle physics; List of equations in quantum mechanics;
The difference between them and the closely related Euler equations is that Navier–Stokes equations take viscosity into account while the Euler equations model only inviscid flow. As a result, the Navier–Stokes are an elliptic equation and therefore have better analytic properties, at the expense of having less mathematical structure (e.g ...
This equation is called the mass continuity equation, or simply the continuity equation. This equation generally accompanies the Navier–Stokes equation. In the case of an incompressible fluid, Dρ / Dt = 0 (the density following the path of a fluid element is constant) and the equation reduces to: