11,110 research outputs found
Hydrodynamic Singularities
We give a brief overview of the physical significance of singularities in
fluid mechanics
A brief history of drop formation
Surface-tension-related phenomena have fascinated researchers for a long
time, and the mathematical description pioneered by Young and Laplace opened
the door to their systematic study. The time scale on which
surface-tension-driven motion takes place is usually quite short, making
experimental investigation quite demanding. Accordingly, most theoretical and
experimental work has focused on static phenomena, and in particular the
measurement of surface tension, by physicists like E\"otv\"os, Lenard, and
Bohr. Here we will review some of the work that has eventually lead to a closer
scrutiny of time-dependent flows, highly non-linear in nature. Often this
motion is self-similar in nature, such that it can in fact be mapped onto a
pseudo-stationary problem, amenable to mathematical analysis.Comment: book chapter for "Colloque Jean Jacques Moreau
Singularities in droplet pinching with vanishing viscosity
A slender-jet model for the pinching of a liquid column is considered in the
limit of vanishing viscosity. We find the model to develop a singularity in the
gradients of the local radius and the velocity at a finite thread radius, so it
does not describe breakup. However, the observed steepening of the profile
corresponds to experiments and simulations with fluids at low viscosity. The
singularity has similarity form, which we compute analytically. The result
agrees well with numerical simulations of the model equations.Comment: 18 pages including 4 eps figures, revte
Epiphyllous Lejeuneaceae in Costa Rica : contributions to the altitudinal distribution of selected species
The altitudina l distribution of selected species of epiphyllous Lejeuneaceae shows 6 groups (table 1 and 2): I (only lower than 500 m) Cololejeunea setiloba; II (1-1600m) Aphanolejeunea costaricensis, A. moralesiae, Cololejeunea cardiocarpa, C. guadelupensis, C. linopteroides, C. obliqua, C. papillifera, C. standleyi, Colura verdoornii, Cyclolejeunea chitonia, C. peruviana, Diplasiolejeunea brunnea, Microlejeunea epiphylla, Rectolejeunea berteroana, R. cf. emarginuliflora, Stictolejeunea squamata; III (1-3000m) Aphanolejeunea angustissima, Colura tortifolia, Diplasiolejeunea cavifolia, D. pellucida, Drepanolejeunea inchoata, Dr. lichenicola, Lejeunea laetevirens, Odontolejeunea lunulata; IV (only 500-1600m) Aphanolejeunea cingens, A. longifolia, A. pustulosa, Cyclolejeunea accedens, C. convexistipa, Diplasiolejeunea grolleana, D. unidentata, Harpalejeunea uncinata, Lejeunea filipes, Odontolejeunea decemdentata; V (500-3000m) Anoplolejeunea conferta, Aphanolejeunea crenata, A. ephemeroides, Colura tenuicornis, Diplasiolejeunea alata, Drepanolejeunea infundibulata, Dr. mosenii, Lejeunea flava, Omphalanthus filiformis; VI (only above 1600-3000m) Aphanolejeunea camillii, Cololejeunea fefeana, Diplasiolejeunea costaricensis sp.nov., D. involuta
Toward a description of contact line motion at higher capillary numbers
The surface of a liquid near a moving contact line is highly curved owing to
diverging viscous forces. Thus, microscopic physics must be invoked at the
contact line and matched to the hydrodynamic solution farther away. This
matching has already been done for a variety of models, but always assuming the
limit of vanishing speed. This excludes phenomena of the greatest current
interest, in particular the stability of contact lines. Here we extend
perturbation theory to arbitrary order and compute finite speed corrections to
existing results. We also investigate the impact of the microscopic physics on
the large-scale shape of the interface
Of productive germs and the immortal soul : Friedrich Schlegel’s writings on language and early biological theory
Friedrich Schlegel's lasting contribution to linguistics is usually seen in the impact that his book "Ăśber die Sprache und Weisheit der Indier" from 1808 left on comparative linguistics and on the study of Sanskrit. Schlegel was one of the first European scholars to have studied Sanskrit extensively and he made a number of translations of Sanskrit literature into German which make up one third of "Ăśber die Sprache und Weisheit der Indier". Schlegel's book is widely regarded as a founding document both of comparative linguistics and of indology, a fact which is quite remarkable in light of the development of Schlegel's thought after this text. His interest in Indian studies ceased more or less directly with the publication of this work, while his thoughts on language became more and more suffused by transcendental philosophy
Comment on "Dynamic Wetting by liquids of different viscosity", by T.D. Blake and Y.D. Shikhmurzaev
We comment on a recent theory of dynamic wetting, that is based directly upon
a model for interface formation, introduced by Shikhmurzaev. We argue that the
treatment of surface tension and its relaxation, inherent in the original
model, is physically flawed.Comment: comment submitted to Journal of Colloid and Interface Scienc
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