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Viscosity is a measure of a fluid's rate-dependent resistance to a change in shape or to movement of its neighboring portions relative to one another. [1] For liquids, it corresponds to the informal concept of thickness; for example, syrup has a higher viscosity than water. [2]
move to sidebar hide From Wikipedia, the free encyclopedia In theory of vibrations , Duhamel's integral is a way of calculating the response of linear systems and structures to arbitrary time-varying external perturbation.
In a single-degree-of-freedom system, viscous damping model relates force to velocity as shown below: = ˙ Where is the viscous damping coefficient with SI units of /.This model adequately describes the damping force on a body that is moving at a moderate speed through a fluid. [3]
A Maxwell material is the most simple model viscoelastic material showing properties of a typical liquid. It shows viscous flow on the long timescale, but additional elastic resistance to fast deformations. [1]
The Navier–Stokes equations (/ n æ v ˈ j eɪ s t oʊ k s / nav-YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician George Gabriel Stokes.
Underdamped spring–mass system with ζ < 1. In physical systems, damping is the loss of energy of an oscillating system by dissipation. [1] [2] Damping is an influence within or upon an oscillatory system that has the effect of reducing or preventing its oscillation. [3]
Subsidence of the lithosphere acts to increase the thickness of the portion of the lowermost crust which behaves viscously. If the freezing of the asthenosphere dominates (2) the system is stable, however if subsidence, and therefore separation of the lower lithosphere dominates (3) the system is unstable.
In the inner disk, the planet spirals inward on the viscous timescale, following the accretion of gas onto the star. In this case, the migration rate is typically slower than would be the migration of the planet in the Type I regime. In the outer disk, however, migration can be outward if the disk is viscously expanding.