To further investigate the complex viscosity [absolute value of [[eta].sup.*]] as function of angular frequency
([omega]), we fitted the experimental complex viscosity data to the Carreau-Yasuda model, as described by the following equation :
For completeness, the numerical angular frequency
[[omega].sub.num] derived in this study is plotted against the wavenumber [kappa] in Figs.
at gel point as well as slope of the ln(G') vs.
The simulation results shown in Fig.4 and Fig.5 verify the ability of the proposed PLL to accurately lock to the supply angular frequency
and phase in one ac supply period under line disturbances, such as sag, harmonic, unbalance, whereas the conventional PLL fails to lock accurately in the highly distorted and unbalanced grid.
The guided wave is assumed to be travelling in a waveguide along OZ direction with wavenumber vector [k.sub.z] (direction of which coincides with OZ axis) at angular frequency
For this purpose, we prepared compatibilized PLA/PCL (90/10) blends irradiated at various doses (5-200 kGy) in the presence of GMA and then measured their complex viscosities in the angular frequency
range 0.5-100 rad/s.
The frequency sweep tests were performed at 25[degrees]C over the angular frequency
range of 0.1-10 rad/s.
The complex viscosity is shown as a function of angular frequency
in figure 5.
in which [v.sub.f](t, x) is the dimensional flow velocity at time t and position x, [V.sub.a] the dimensional mean flow velocity, [V.sub.b] the dimensional amplitude of oscillation velocity, k the wave number and [omega] the angular frequency
. The dimensional flow phase velocity can be expressed as [V.sub.[omega]] = [omega]/k.
We write the equations of the BLDCM in the coordinate system d-q, tied to the rotational angular frequency
of the rotor.
where [x.sub.h](t) and [x.sub.r](t) denote the body movements of the heartbeat and the respiration signal in the human body, which can be expressed by sinusoids with amplitude a\t and a, and angular frequency
[[omega].sub.h] and [[omega].sub.r], respectively.
In asymptotically flat coordinates the angular frequency
detected by a distant observer is simply the coordinate angular velocity; that is, one evaluates