At-a-station (a particular cross section) variations in width, depth, and velocity with variation in discharge in ephemeral streams resemble the corresponding variations in perennial streams.
Similar phenomena are observed in plates with geometric discontinuities, which are idealizations of stiffeners, patches and cross section variations.
The frequencies for various values of cross-section variation, hub-radius and temperature gradient are obtained.
The influence of local stereochemistry on the polymer configuration is evident in the scattering cross-section variation with scattering vector.
The exact differential equations have been solved for this particular cross-section variation law, in terms of Bessel functions, so that exact critical loads and free frequencies can be used to illustrate the performance of the proposed approach.
In reality, the cross-section variation can be minimized by careful operation of the microtome, and, as both the specimen itself and the knife of the microtome are rigidly mounted, intrasection variation is compensated throughout the section series by complementary variation in other sections.
A simple yet efficient method is proposed, which allows one to take into account quite naturally the cross-section variations and the presence of flexible supports.
These variations are currently being described using a look-up table approach, where thousands of assembly calculations are performed to capture few-group cross-sections variations for the downstream core calculations.
By way of examples, these developments could be employed in core simulation to accurately estimate the few-group cross-sections variations resulting from perturbations in neutronics and thermal-hydraulics core conditions.
At sufficiently high energy nuclear cross-section variations are small allowing non-perturbative methods to all orders and renormalization of the second corrections allow accurate evaluation of the full Neumann series.
Figure 6 shows another compositional cross section indicating variations of Ca, Al, Mg, and Fe in the diopside across the reaction zone.
