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The dynamic of the periodic response is defined by a one-dimensional nonlinear differential equation governing the total phase motion.
The comparisons also reveal that an essential requirement for a wave driver is its capability to represent the phase motion of the wave and its capability to correctly predict the phase speed of waves.
The DPC system imposes an out of phase motion of perturbed individual flames, yielding opposite heat release fluctuations which compensate each other and yield a steady global response to incoming perturbations.
However, numerical results are consistent with experiments when it is speculated that sufficient internal liquid phase motion is present to reduce the effective liquid mass Peclet number to the order of one.
It was found that the particle phase dynamics used in particle velocimetry measurements are not always representative of the underlying gas phase motion due to thermophoresis and insufficient drag, especially at low pressures.
In the present case, both the gas and the dense phase of the bed are modelled as continuum phases, as typically done in two-fluid model simulations, whereas fuel particles are simulated as discrete entities whose movement affects, and can be affected by the dense phase motion (i.e. fully coupled TFM-DEM simulations).
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However, gas phase motions also effect particle motion.
The procedure accounts for the dynamic out-of-phase motion characteristics between adjacent bridge spans, and the pounding is assumed to be completely avoided by the restrainer bar.
A method for designing slider-crank mechanisms to achieve multi-phase motion generation applications typically accomplished by adjustable planar four-bar motion generators is presented.
Modern Lagrangian and Eulerian treatments of the dispersed-phase motion are then considered for predicting a variety of particle fluid physical phenomenon.
At lower frequencies, the cross-order terms can come into play for cases where the in-phase motion of the structure along the interface is constrained.
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