Explore: Small Perturbation Flow

in which the flow is broken down into the sum of an average component and a perturbation component. It is believed that turbulent flows can be described

quasiperiodic motions under small perturbations. The theorem partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics

unstable to finite perturbations at large Reynolds numbers. Sensitive dependence on the initial and boundary conditions makes fluid flow irregular both in

the radius of the cylinder. Regular perturbation analysis for a flow around a cylinder with slight perturbation in the configurations can be found in

bookkeeping graphs that correspond to the Navier–Stokes equations via a perturbation expansion of the fundamental continuum mechanics. Similar to the Feynman

to predict the transient response of a compression system after a small perturbation superimposed on a steady operating condition. He found a non-dimensional

random networks are vulnerable to random perturbations, whereas small-world networks are robust. However, small-world networks are vulnerable to targeted

incompressible) or varying density flow. The varying density set accepts solutions involving small perturbations in density, pressure and/or temperature

For flow in which T a < T a c , {\displaystyle \mathrm {Ta} <\mathrm {Ta_{c}} ,} instabilities in the flow are not present, i.e. perturbations to the

wave speed c {\displaystyle c} is positive, then the flow is unstable, and the small perturbation introduced to the system is amplified in time. Note that