Sentence examples for cluster breakup from inspiring English sources

This is because by induction, (Sigma ) is determined by a two cluster breakup into (N-1) particles (in the same cluster as 0) and one particle and then that (W y) = [Z- N-1)]|y|^{-1} + text {o}(1/|y|)) and such a potential has infinitely many bound states.

A sonication time of about 7 min leads to effective breakup of clusters and dispersion of CNTs in the nanofluid.

This is because in addition to the breakup of clusters and agglomerates, longer sonication leads to the fragmentation of MWCNTs themselves [7, 10, 31].

As was noted before, the breakup of clusters by sonication of nanofluids and fragmentation (shortening of mean length) of MWCNT for long duration of sonication significantly affect the effective viscosity and thermal conductivity of the MWCNT nanofluids.

In particular, the viscosity at first increases as sonication time increases because of the breakup of clusters and agglomerates and then decreases with further increase of sonication time due the reduction of the mean length of the CNTs.

Breakup of solid clusters in nonhomogeneous flows is studied by dynamic modeling.

It was shown that the MWCNT aqueous solutions exhibited a non-Newtonian shear-thinning behaviour due to the breakup of CNT clusters and agglomerates with increasing shear rate.

The inertial difference between the dense phase and the interface results in breakup or formation of particle clusters.

As seen from Figure 12, the viscosity of MWCNT nanofluids is higher at low shear rates and decreases with increase in shear rates, which was attributed to the breakup of CNT agglomerates and clusters at high shear rates.

The presented experimental data shows that a short sonication time (2 min) does not effectively breakup the CNT agglomerates and clusters and the viscosity of the nanofluids is moderately low.

The effect of ultrasonication is attributed to the breakup of nanoparticle aggregates into smaller clusters.