Sentence examples for fluctuations about from inspiring English sources

Perturbations on a smaller scale still grow parasitically on those that are first established, until the flow pattern is so grossly disturbed that it is no longer useful to define a fluid velocity for each point in space; the description of the flow has to be a statistical one in terms of mean values and of correlated fluctuations about the mean.

The bars signify fluctuations about the mean and correspond to one standard deviation.

Other undetermined terms relate to momentum transport by velocity fluctuations about the average values.

The model shows that the slurry dynamics is governed to a significant extent by particle fluctuations about mean streamlines in a high-shear-rate flow.

There remained the problem of developing a statistical theory for the fluctuations about a marginally stable critical point, such as a Bogdanov–Takens point.

However, formally speaking, the asynchronous state only exists in the thermodynamic limit N → ∞, so that fluctuations about the asynchronous state arise for finite N [31 34].

Coastal zones are among the most vulnerable in the world because of their exposure to sea level fluctuations brought about by climate conditions, tropical cyclones, and tectonic processes.

The scaling of rms and skewness of fluctuation about the mean is investigated here.

We thus conclude that each observed linear regression is very unlikely to have been produced by random fluctuation about a constant gravity value.

The spatial structure of the instantaneous fluctuation about the mean is investigated in terms of eigenmodes obtained using proper orthogonal decomposition with the method of snapshots.

The fluctuation about the mean is explained in terms of time-dependent oscillation of the impeller-induced jet and tip vortex components of the flow.