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This implies that time-averaged hydrodynamics and mass transfer do not vary significantly regardless of changes in the frequency and amplitude of the slip velocity, because the effect is cancelled within the time oscillation period.
The existence of this critical frequency was found to depend on the phase of the residence time oscillation, and only occurred when the phase was such that the residence time decreased from the initial conditions.
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The amplitude, frequency, and phase of the residence time oscillations were varied, and the effects on the simulated ignition behavior were recorded.
In this paper, firstly, we shall study the asymptotic behavior of the non-autonomous BBM equation depending on the small parameter ε, which reflects the rate of fast time oscillations in the term ε − ρ f 1 ( x, t / ε ) with amplitude of order ε − ρ, then we shall consider the boundedness and convergence of corresponding uniform attractors of (1.1 - 1.3 1.1 - 1.3ast to (1.4)-(1.6).
Thus, if inferior olive neurons continue to die off over time, oscillations would eventually cease.
Wide-area synchrophasor ambient measurements provide a valuable data source for real-time oscillation mode monitoring and analysis.
This paper is motivated by the fact that it is still an open problem to design a real-time oscillation detector which is applicable to non-linear, non-stationary and intermittent oscillations.
The long-time oscillations of the coalesced drops and the collision of unequal-sized liquid drops were studied to illustrate the liquid mixing during the collision.
n: number of oscillations, t: whole time of oscillations, T: period of oscillations (T = t/ n), λ: logarithm decrement of suppression (λ = ln X2/ X4, where X2 is a second amplitude during oscillations and X4 is a fourth amplitude during oscillations, β: suppression index (β = λ/ T).
For all three microactuator configurations, empirical expressions for the switching time and oscillation period are developed.
The last time the oscillation was in its present state, from about 1945 to about 1976, a global warming trend that had begun early in the century leveled off.
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