We consider the radially expanding sheet formed upon impact of a drop on a surface of comparable size to that of the drop. A unified self-similar solution for the unsteady radial thickness profile of the expanding sheet is derived from first principles in the inviscid limit. This unified functional form reconciles two conflicting theoretical profiles of sheet thickness proposed in the literatur...

Berg, Gerald (Robert A. Taft Sanitary Engineering Center, Cincinnati, Ohio), Eugene K. Harris, Shih L. Chang, and Kenneth A. Busch. Quantitation of viruses by the plaque technique. J. Bacteriol. 85:691-700. 1963.-This paper presents the results of a study on overcrowding as it occurred with several strains of enteroviruses on monkey kidney cell layers. Each cell sheet area was 4,500 mm(2). Disp...

Evolution of vortices and their interactions are investigated in the Lagrangian context using the continuous vortex sheet method. Among the topics investigated are the numerical Helmholtz instability on a circular vortex sheet, the fractal-pattern instability on an expanding vortex spiral, interactions of vortices with shear layers, and some other phenomena related to experimental observations ...

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism – in a way suggested by recent developments in closed-string field theory – to implicitly define a gauge invariant Lagrangian in a hypothetical “space of all open-string world-sheet theories.” It is built into the formalism that classical solutions of the string field theory...

We study the destabilization mechanism of thin liquid sheets expanding in air and show that dilute oil-in-water emulsion-based sheets disintegrate through the nucleation and growth of holes that perforate the sheet. The velocity and thickness fields of the sheet outside the holes are not perturbed by holes, and hole opening follows the Taylor-Culick law. We find that a prehole, which widens and...

In the present analysis, the Dufour and Soret effects on unsteady heat-mass transfer of a viscous incompressible Powell-Eyring fluids flow past an expanding/shrinking permeable sheet are reported. The fluid boundary layer develops over the variable sheet with suction/injection to the non-uniform free stream velocity. Under the symmetry group of transformations, the governing equations along wit...

Collective cell migration is a hallmark of developmental and patho-physiological states, including wound healing and invasive cancer growth. The integrity of the expanding epithelial sheets can be influenced by extracellular cues, including cell-cell and cell-matrix interactions. We show the nano-scale topography of the extracellular matrix underlying epithelial cell layers can have a strong ef...

We experimentally investigate the speed of fragments produced by ligament breakup in laser-induced deformation tin microdroplets into axisymmetric sheets. A double-frame backlit camera is used to obtain and time their detachment. show that normalizing these speeds initial expansion sheet, all data collapse onto a single universal curve function dimensionless ${t}_{d}/{\ensuremath{\tau}}_{c}$ on...