Exact(1)
where, ρf, μ, and β are the density, viscosity, and volumetric volume expansion coefficient of the fluid, while ρp is the density of the particles.
Similar(59)
And in connection with it, a volumetric strain volume decreases in small amount at first, (contractive) and then, with continuing tests, shows increasing the volume (dilative) (Fig. 7b).
The approach resembles the local depth estimation idea, where a volumetric cost volume is further aggregated with bilateral filter.
For both cases, the influence of the flow rate results in: Incoming volumetric flow Volume coefficient ( dot{V} = {text{const}}.
More specifically, herein by means of elementary considerations, we deduce adequate forms of strain-energy functions that are a priori decomposed into purely volumetric and volume-preserving parts.
First, a transformation matrix was created by co-registration of the summed AMT-PET images to the T1-Gad volumetric image volumes (magnetization-prepared rapid gradient-echo [MPRAGE] protocol on Siemens or MPRAGE-equivalent sequence on GE and Philips scanners) as well as FLAIR images using the Fast Rigid Registration module.
Volume, volumetric flow rate.
The wear model was tuned using experimental measurements and was then able to accurately predict the volumetric polyethylene wear volume during experiments with different kinematic inputs.
For this reason scale-up by keeping the superficial gas velocity constant is suggested in comparison to scale-up by constant volumetric aeration per volume (vvm).
However, only a few results can satisfy all aspects towards practical application, particularly the problems like low initial Coulombic efficiency, low volumetric capacity, huge volume change (>290%), complicated fabrication methods, and especially low production remain unsolved.
In particular, the widely adopted Gurson Tvergaard Needleman (GTN) model is extended by coupling two damage parameters, representing the volumetric damage (void volume fraction) and the shear damage, respectively, into the yield function and flow potential.
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