16 research outputs found
Controlling crystallization and its absence: Proteins, colloids and patchy models
The ability to control the crystallization behaviour (including its absence)
of particles, be they biomolecules such as globular proteins, inorganic
colloids, nanoparticles, or metal atoms in an alloy, is of both fundamental and
technological importance. Much can be learnt from the exquisite control that
biological systems exert over the behaviour of proteins, where protein
crystallization and aggregation are generally suppressed, but where in
particular instances complex crystalline assemblies can be formed that have a
functional purpose. We also explore the insights that can be obtained from
computational modelling, focussing on the subtle interplay between the
interparticle interactions, the preferred local order and the resulting
crystallization kinetics. In particular, we highlight the role played by
``frustration'', where there is an incompatibility between the preferred local
order and the global crystalline order, using examples from atomic glass
formers and model anisotropic particles.Comment: 11 pages, 7 figure
Recherches sur l’oganisation des larves des Eph\ue9m\ue8rines
Volume: 13Start Page: 1End Page: 13
Etude sur l’\ue9tat parfait du Prospistoma punctifrons
Volume: 11Start Page: 1End Page: 1
VII.—On the perfect state of Prosopistoma punctifrons
Volume: 8Start Page: 73End Page: 8
On the systematic position of the genus Hero
Volume: 2Start Page: 196End Page: 19
On the organization of Truncatella
Volume: 16Start Page: 396End Page: 39
Darcy\u2013Carreau Model and Nonlinear Natural Convection for Pseudoplastic and Dilatant Fluids in Porous Media
The linear and weakly nonlinear stability analyses are carried out to study instabilities in
Darcy\u2013B\ue9nard convection for non-Newtonian inelastic fuids. The rheological model considered here is the Darcy\u2013Carreau model, which is an extension to porous media of Carreau rheological model usually used in clear fuid media. The linear stability approach
showed that the critical Rayleigh number and wave number corresponding to the onset of
convection are the same as for Newtonian fuids. By employing weakly nonlinear theory,
we derived a cubic Landau equation that describes the temporal evolution of the amplitude
of convection rolls in the unstable regime. It is found that the bifurcation from the conduction state to convection rolls is always supercritical for dilatant fuids. For pseudoplastic
fuids, however, the interplay between the macroscale properties of the porous media and
the rheological characteristics of the fuid determines the supercritical or subcritical nature
of the bifurcation. In the parameter range where the bifurcation is supercritical, we determined and discussed the combined efects of the fuid properties and the porous medium
characteristics on the amplitude of convection rolls and the corresponding average heat
transfer for both pseudoplastic and dilatant fuids. Remarkably, we found that the curves
describing these efects collapse onto the universal curve for Newtonian fuids, provided
the average apparent viscosity is used to defne Rayleigh number