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Mixing in a ball of colored putty after consecutive iterations of the Smale horseshoe map (i.e. squashing and folding in two). In physics, there are several distinct notions of mixing, all of which try to capture the common-sense notion of mixing, but using rather disparate formal methods, techniques and definitions.
The reason for that behavior is the fact that a droplet's falling velocity from a height A to B is equal to the initial velocity that is needed to lift up a droplet from B to A. When performing such an experiment only the height C (instead of D in figure (c)) will be reached which contradicts the proposed theory.
In fluid dynamics, slosh refers to the movement of liquid inside another object (which is, typically, also undergoing motion). Strictly speaking, the liquid must have a free surface to constitute a slosh dynamics problem, where the dynamics of the liquid can interact with the container to alter the system dynamics significantly. [1]
Flow in phase space specified by the differential equation of a pendulum.On the horizontal axis, the pendulum position, and on the vertical one its velocity. In mathematics, a flow formalizes the idea of the motion of particles in a fluid.
Flux F through a surface, dS is the differential vector area element, n is the unit normal to the surface. Left: No flux passes in the surface, the maximum amount flows normal to the surface.
In mathematics, the Navier–Stokes equations are a system of nonlinear partial differential equations for abstract vector fields of any size. In physics and engineering, they are a system of equations that model the motion of liquids or non-rarefied gases (in which the mean free path is short enough so that it can be thought of as a continuum mean instead of a collection of particles) using ...
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Space velocity may refer to: Space velocity (astronomy) , the velocity of a star in the galactic coordinate system Space velocity (chemistry) , the relation between volumetric flow rate and reactor volume in a chemical reactor