The meaning of STOKES' LAW is a law in physics: the frequency of luminescence excited by radiation does not exceed that of the exciting radiation.
Browse Nearby Words Stokes Stokes' aster Stokes' law See all Nearby Words Cite this Entry Style “Stokes' aster.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Stokes%27%20aster. Accessed 16 May. 2025. Copy Citation ...
The Navier–Stokes equations describe the motion of fluid substances, and they are derived from the law of momentum conservation, together with the assumption that the fluid stress is the sum of a diffusing viscous term, plus a pressure term [118]. Formally, a basic form of the equation is...
We do not require \(\Theta \) to be finite in this definition, in which case we mean that the sequence \((\theta _j)\) is monotone increasing and unbounded for such \(\omega \). Definition 3.13 An H-valued maximal strong solution \((\boldsymbol {\Psi },\Theta )\) of the Eq...
In this section, particular attention is paid to the fact that, when the degree of approximation is changed in a curved element, a choice must be made regarding the geometric definition of the element. An element by element measure of the error is defined by employing the HDG solution and ...
This Stokes’ symmetric stress tensor was so well accepted in the community that it has been taken as a law that all fluids must follow, in a similar manner as the Newton’s laws of motion as the universal law of motion. However, as stated in [31], the symmetry in the stress tensor...
Hello, I don't know if this question belonged here or in General Physics, so I apologize if I made a mistake. My question is simple, what are the Navier-Stokes Equations for a Compressible Fluid? I don't mean from a conceptual point of view, what I mean are the mathematical equations...
, using as constitutive law the boussinesq–scriven surface stress tensor $$\begin{aligned} {{\mathcal {t}}}_\sigma ={{\mathcal {t}}}_\sigma (u,\pi )=2\mu _s {{\mathcal {d}}}_\sigma (u) + (\lambda _s-\mu _s)(\mathrm{div}_\sigma u) {{\mathcal {p}}}_\sigma -...
This is known as the equation of continuity, which has been derived from the conservation law of mass. If the fluid is incompressible, the equation of continuity can be simplified as (4.6)∇⋅u=0. Next we consider the conservation law of momentum. Since the momentum per unit volume loca...
whereuis the divergence free velocity field satisfying the Bio-Savart lawandis a white-in time, colored-in-space Gaussian forcing assumed to be diagonalizable with respect to the Fourier basis. The parameterrepresents the kinematic viscosity; the noise has been scaled with a matchingso that the ...