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Jacobi constant, a Zero Velocity Surface and Curve (also Hill's curve) [1] A zero-velocity surface is a concept that relates to the N-body problem of gravity.It represents a surface a body of given energy cannot cross, since it would have zero velocity on the surface.
Sketch 1: Instantaneous center P of a moving plane. The instant center of rotation (also known as instantaneous velocity center, [1] instantaneous center, or pole of planar displacement) of a body undergoing planar movement is a point that has zero velocity at a particular instant of time.
Terminal velocity is the maximum speed attainable by an object as it falls through a fluid (air is the most common example). It is reached when the sum of the drag force (F d) and the buoyancy is equal to the downward force of gravity (F G) acting on the object. Since the net force on the object is zero, the object has zero acceleration.
In fluid dynamics, a flow is considered incompressible if the divergence of the flow velocity is zero. However, related formulations can sometimes be used, depending on the flow system being modelled. Some versions are described below: Incompressible flow: =. This can assume either constant density (strict incompressible) or varying density flow.
In fluid dynamics, a stagnation point is a point in a flow field where the local velocity of the fluid is zero. [1]: § 3.2 The Bernoulli equation shows that the static pressure is highest when the velocity is zero and hence static pressure is at its maximum value at stagnation points: in this case static pressure equals stagnation pressure.
A flow is irrotational if the curl of is zero: = That is, if is an irrotational vector field.. A flow in a simply-connected domain which is irrotational can be described as a potential flow, through the use of a velocity potential, with =.
D'Alembert proved that – for incompressible and inviscid potential flow – the drag force is zero on a body moving with constant velocity relative to the fluid. [2] Zero drag is in direct contradiction to the observation of substantial drag on bodies moving relative to fluids, such as air and water; especially at high velocities ...
The no-slip condition is an empirical assumption that has been useful in modelling many macroscopic experiments. It was one of three alternatives that were the subject of contention in the 19th century, with the other two being the stagnant-layer (a thin layer of stationary fluid on which the rest of the fluid flows) and the partial slip (a finite relative velocity between solid and fluid ...