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The axial dependence of the transmembrane pressure (TMP) and the cumulative filtration volume is studied under non-fouling conditions.
Curvature and axial dependence make the cylinder unique in response properties that neither disk nor ring possess.
The modal forms are assumed to have the axial dependence in the form of a simple Fourier series.
Separation-of-variables is used to decouple the drop size and axial dependence effects to reduce the problem to a numerically-manageable form.
The new solution describes the axial dependence of the average concentration both near the leading and trailing edges of the concentration distribution, and it predicts the existence of a pronounced maximum near the trailing edge.
The simplifying assumption of a long shell is made (or, equivalently, 'ring' assumption), in which the buckling modes are assumed to be two-dimensional, i.e. no axial component of the displacement field, and no axial dependence of the radial and hoop displacement components.
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The force may also have axial harmonic dependence.
An analysis of axial velocity dependence on thixotropic parameter λ was also made through these graphs.
Axial distance dependence in the emission pattern is also exploited to measure relative probe position near focus.
The out-of-focus TPEF signals were suppressed by a factor of 102. Figure 5(b) illustrates the axial position dependence of SFG signals generated near the surface of a quartz crystal using the straight SPOM technique with 775 and 1000-nm pulses.
In this work, the radiation modes for external radiating cylinders which account for both axial and circumferential dependence are presented.
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